Mathematical aspects of fluid mechanics /:
The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier-Stokes equations feature prominently...
Gespeichert in:
| Weitere Verfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK :
Cambridge University Press,
©2012.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
402. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier-Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers. |
| Beschreibung: | 1 online resource (xv, 258 pages) : illustrations. |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9781139569453 1139569457 1139573012 9781139573016 9781139235792 1139235796 9781283812368 1283812363 9781139571265 1139571265 1139889877 9781139889872 1139579835 9781139579834 1139573683 9781139573689 1139570358 9781139570350 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn818734225 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 121119s2012 enka ob 000 0 eng d | ||
| 040 | |a YDXCP |b eng |e pn |c YDXCP |d OCLCO |d N$T |d CAMBR |d E7B |d IDEBK |d OCLCF |d OCLCQ |d CDX |d EBLCP |d DEBSZ |d MEAUC |d CNSPO |d OCLCQ |d AU@ |d UKAHL |d OCLCQ |d S8J |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d VLY |d INARC |d OCLCQ |d S9M |d OCLCA |d OCLCL |d OCLCQ |d OCLCL | ||
| 016 | 7 | |a 016208132 |2 Uk | |
| 019 | |a 818727338 |a 822038834 |a 960267657 |a 963726115 |a 1162453141 |a 1167581689 |a 1349248210 | ||
| 020 | |a 9781139569453 |q (electronic bk.) | ||
| 020 | |a 1139569457 |q (electronic bk.) | ||
| 020 | |a 1139573012 |q (electronic bk.) | ||
| 020 | |a 9781139573016 |q (electronic bk.) | ||
| 020 | |a 9781139235792 |q (electronic bk.) | ||
| 020 | |a 1139235796 |q (electronic bk.) | ||
| 020 | |a 9781283812368 |q (MyiLibrary) | ||
| 020 | |a 1283812363 |q (MyiLibrary) | ||
| 020 | |a 9781139571265 | ||
| 020 | |a 1139571265 | ||
| 020 | |a 1139889877 | ||
| 020 | |a 9781139889872 | ||
| 020 | |a 1139579835 | ||
| 020 | |a 9781139579834 | ||
| 020 | |a 1139573683 | ||
| 020 | |a 9781139573689 | ||
| 020 | |a 1139570358 | ||
| 020 | |a 9781139570350 | ||
| 020 | |z 9781107609259 | ||
| 020 | |z 1107609259 | ||
| 035 | |a (OCoLC)818734225 |z (OCoLC)818727338 |z (OCoLC)822038834 |z (OCoLC)960267657 |z (OCoLC)963726115 |z (OCoLC)1162453141 |z (OCoLC)1167581689 |z (OCoLC)1349248210 | ||
| 050 | 4 | |a QA901 |b .M38 2012 | |
| 072 | 7 | |a TEC |x 014000 |2 bisacsh | |
| 072 | 7 | |a TGMF |2 bicssc | |
| 082 | 7 | |a 532 |2 23 | |
| 049 | |a MAIN | ||
| 245 | 0 | 0 | |a Mathematical aspects of fluid mechanics / |c edited by James C. Robinson, José L. Rodrigo and Witold Sadowski. |
| 260 | |a Cambridge, UK : |b Cambridge University Press, |c ©2012. | ||
| 300 | |a 1 online resource (xv, 258 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 402 | |
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; Dedication; Contents; Contents; Preface; Preface; List of Contributors; List of Contributors; 1 Towards fluid equations by approximate deconvolution models; 1.1 Introduction; 1.2 The approximate deconvolution; 1.3 High accuracy deconvolution alpha-models; 1.4 Energy spectrum; 1.5 Limiting behaviour in terms of the deconvolution parameter; References; 2 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph; 2.1 Introduction; 2.2 Orlicz spaces; 2.3 Selections. | |
| 505 | 8 | |a 2.4 Convergence tools2.5 Steady flows without convection; 2.6 Steady flows with convection; 2.7 Unsteady flows without convection; 2.8 Full problem; Acknowledgments; References; 3 A continuous model for turbulent energy cascade; 3.1 Motivation for the model; 3.1.1 Onsager and Kolmogorov; 3.1.2 Onsager's Conjecture and Besov spaces; 3.1.3 Littlewood-Paley framework for intermittency; 3.2 A continuous model for the energy flux; 3.3 Inviscid case; 3.4 Viscous case; References; 4 Remarks on complex fluid models; 4.1 Introduction; 4.2 Energetics; 4.3 Global existence issues; 4.4 Uniqueness issues. | |
| 505 | 8 | |a 7.2.3 Stabilization via a control supported on part of the boundary7.3 Construction of a stabilizing control for the Oseen equations; 7.3.1 Reduction to the linear case; 7.3.2 Description of the "correct" initial conditions; 7.3.3 Theorem on the stabilization of the Oseen equations; 7.4 Stabilization for the Navier-Stokes equations; 7.4.1 Definition of the stable invariant manifold; 7.4.2 Feedback operator and stabilization; 7.5 Feedback property for a control; 7.5.1 Definitions. The case of initial control; 7.5.2 The case of distributed control supported in a subdomain; 7.5.3 Real processes. | |
| 505 | 8 | |a 7.6 Description of numerical algorithms7.6.1 General definitions; 7.6.2 Stable invariant manifold for a fixed point; 7.6.3 Projection onto the stable invariant manifold; 7.6.4 The stable manifold corresponding to a trajectory; 7.6.5 Projection onto the stable manifold; 7.6.6 Calculations with control in the right-hand side; 7.7 Results of numerical calculations; 7.7.1 The physical model and its mathematical setting; 7.7.2 The structure of the phase portrait; 7.7.3 Stabilization by control of the initial condition; 7.7.4 Stabilization by control of the right-hand side. | |
| 520 | |a The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier-Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Fluid mechanics |x Mathematics. | |
| 650 | 6 | |a Mécanique des fluides |x Mathématiques. | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Hydraulics. |2 bisacsh | |
| 650 | 7 | |a Mecánica de fluidos |x Matemáticas |2 embne | |
| 650 | 7 | |a Fluid mechanics |x Mathematics |2 fast | |
| 700 | 1 | |a Robinson, James C. |q (James Cooper), |d 1969- |1 https://id.oclc.org/worldcat/entity/E39PCjMvYgkwGTwmMrQKrb9Yyd |0 http://id.loc.gov/authorities/names/n00015114 | |
| 700 | 1 | |a Rodrigo Diez, José Luis, |d 1977- |1 https://id.oclc.org/worldcat/entity/E39PCjMyTrdmf9BJFwyhyDvpGd | |
| 700 | 1 | |a Sadowski, Witold |c (Mathematician) |1 https://id.oclc.org/worldcat/entity/E39PCjJTFrkP7PCtTv3fwJJrWP |0 http://id.loc.gov/authorities/names/nb2012027093 | |
| 758 | |i has work: |a Mathematical aspects of fluid mechanics (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGkD9gwFrm3YvThdTmF9pd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9781283812368 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 402. |0 http://id.loc.gov/authorities/names/n42015587 | |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=480327 |3 Volltext |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH34206397 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH33350919 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH26385799 | ||
| 938 | |a Coutts Information Services |b COUT |n 24293860 |c 40.00 GBP | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL1025076 | ||
| 938 | |a EBSCOhost |b EBSC |n 480327 | ||
| 938 | |a Internet Archive |b INAR |n mathematicalaspe0000unse_u9i3 | ||
| 938 | |a YBP Library Services |b YANK |n 9935184 | ||
| 938 | |a YBP Library Services |b YANK |n 10194856 | ||
| 938 | |a YBP Library Services |b YANK |n 9914642 | ||
| 938 | |a YBP Library Services |b YANK |n 9915403 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn818734225 |
|---|---|
| _version_ | 1816882214347997184 |
| adam_text | |
| any_adam_object | |
| author2 | Robinson, James C. (James Cooper), 1969- Rodrigo Diez, José Luis, 1977- Sadowski, Witold (Mathematician) |
| author2_role | |
| author2_variant | j c r jc jcr d j l r djl djlr w s ws |
| author_GND | http://id.loc.gov/authorities/names/n00015114 http://id.loc.gov/authorities/names/nb2012027093 |
| author_facet | Robinson, James C. (James Cooper), 1969- Rodrigo Diez, José Luis, 1977- Sadowski, Witold (Mathematician) |
| author_sort | Robinson, James C. 1969- |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA901 |
| callnumber-raw | QA901 .M38 2012 |
| callnumber-search | QA901 .M38 2012 |
| callnumber-sort | QA 3901 M38 42012 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; Dedication; Contents; Contents; Preface; Preface; List of Contributors; List of Contributors; 1 Towards fluid equations by approximate deconvolution models; 1.1 Introduction; 1.2 The approximate deconvolution; 1.3 High accuracy deconvolution alpha-models; 1.4 Energy spectrum; 1.5 Limiting behaviour in terms of the deconvolution parameter; References; 2 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph; 2.1 Introduction; 2.2 Orlicz spaces; 2.3 Selections. 2.4 Convergence tools2.5 Steady flows without convection; 2.6 Steady flows with convection; 2.7 Unsteady flows without convection; 2.8 Full problem; Acknowledgments; References; 3 A continuous model for turbulent energy cascade; 3.1 Motivation for the model; 3.1.1 Onsager and Kolmogorov; 3.1.2 Onsager's Conjecture and Besov spaces; 3.1.3 Littlewood-Paley framework for intermittency; 3.2 A continuous model for the energy flux; 3.3 Inviscid case; 3.4 Viscous case; References; 4 Remarks on complex fluid models; 4.1 Introduction; 4.2 Energetics; 4.3 Global existence issues; 4.4 Uniqueness issues. 7.2.3 Stabilization via a control supported on part of the boundary7.3 Construction of a stabilizing control for the Oseen equations; 7.3.1 Reduction to the linear case; 7.3.2 Description of the "correct" initial conditions; 7.3.3 Theorem on the stabilization of the Oseen equations; 7.4 Stabilization for the Navier-Stokes equations; 7.4.1 Definition of the stable invariant manifold; 7.4.2 Feedback operator and stabilization; 7.5 Feedback property for a control; 7.5.1 Definitions. The case of initial control; 7.5.2 The case of distributed control supported in a subdomain; 7.5.3 Real processes. 7.6 Description of numerical algorithms7.6.1 General definitions; 7.6.2 Stable invariant manifold for a fixed point; 7.6.3 Projection onto the stable invariant manifold; 7.6.4 The stable manifold corresponding to a trajectory; 7.6.5 Projection onto the stable manifold; 7.6.6 Calculations with control in the right-hand side; 7.7 Results of numerical calculations; 7.7.1 The physical model and its mathematical setting; 7.7.2 The structure of the phase portrait; 7.7.3 Stabilization by control of the initial condition; 7.7.4 Stabilization by control of the right-hand side. |
| ctrlnum | (OCoLC)818734225 |
| dewey-full | 532 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532 |
| dewey-search | 532 |
| dewey-sort | 3532 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>07331cam a2200913 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn818734225</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">121119s2012 enka ob 000 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">YDXCP</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">YDXCP</subfield><subfield code="d">OCLCO</subfield><subfield code="d">N$T</subfield><subfield code="d">CAMBR</subfield><subfield code="d">E7B</subfield><subfield code="d">IDEBK</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">CDX</subfield><subfield code="d">EBLCP</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">MEAUC</subfield><subfield code="d">CNSPO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AU@</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">S8J</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">VLY</subfield><subfield code="d">INARC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">S9M</subfield><subfield code="d">OCLCA</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCL</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">016208132</subfield><subfield code="2">Uk</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">818727338</subfield><subfield code="a">822038834</subfield><subfield code="a">960267657</subfield><subfield code="a">963726115</subfield><subfield code="a">1162453141</subfield><subfield code="a">1167581689</subfield><subfield code="a">1349248210</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139569453</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1139569457</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1139573012</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139573016</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139235792</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1139235796</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781283812368</subfield><subfield code="q">(MyiLibrary)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1283812363</subfield><subfield code="q">(MyiLibrary)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139571265</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1139571265</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1139889877</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139889872</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1139579835</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139579834</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1139573683</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139573689</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1139570358</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139570350</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9781107609259</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">1107609259</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)818734225</subfield><subfield code="z">(OCoLC)818727338</subfield><subfield code="z">(OCoLC)822038834</subfield><subfield code="z">(OCoLC)960267657</subfield><subfield code="z">(OCoLC)963726115</subfield><subfield code="z">(OCoLC)1162453141</subfield><subfield code="z">(OCoLC)1167581689</subfield><subfield code="z">(OCoLC)1349248210</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA901</subfield><subfield code="b">.M38 2012</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">TEC</subfield><subfield code="x">014000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">TGMF</subfield><subfield code="2">bicssc</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">532</subfield><subfield code="2">23</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="245" ind1="0" ind2="0"><subfield code="a">Mathematical aspects of fluid mechanics /</subfield><subfield code="c">edited by James C. Robinson, José L. Rodrigo and Witold Sadowski.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Cambridge, UK :</subfield><subfield code="b">Cambridge University Press,</subfield><subfield code="c">©2012.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xv, 258 pages) :</subfield><subfield code="b">illustrations.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">London Mathematical Society lecture note series ;</subfield><subfield code="v">402</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; Dedication; Contents; Contents; Preface; Preface; List of Contributors; List of Contributors; 1 Towards fluid equations by approximate deconvolution models; 1.1 Introduction; 1.2 The approximate deconvolution; 1.3 High accuracy deconvolution alpha-models; 1.4 Energy spectrum; 1.5 Limiting behaviour in terms of the deconvolution parameter; References; 2 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph; 2.1 Introduction; 2.2 Orlicz spaces; 2.3 Selections.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">2.4 Convergence tools2.5 Steady flows without convection; 2.6 Steady flows with convection; 2.7 Unsteady flows without convection; 2.8 Full problem; Acknowledgments; References; 3 A continuous model for turbulent energy cascade; 3.1 Motivation for the model; 3.1.1 Onsager and Kolmogorov; 3.1.2 Onsager's Conjecture and Besov spaces; 3.1.3 Littlewood-Paley framework for intermittency; 3.2 A continuous model for the energy flux; 3.3 Inviscid case; 3.4 Viscous case; References; 4 Remarks on complex fluid models; 4.1 Introduction; 4.2 Energetics; 4.3 Global existence issues; 4.4 Uniqueness issues.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">7.2.3 Stabilization via a control supported on part of the boundary7.3 Construction of a stabilizing control for the Oseen equations; 7.3.1 Reduction to the linear case; 7.3.2 Description of the "correct" initial conditions; 7.3.3 Theorem on the stabilization of the Oseen equations; 7.4 Stabilization for the Navier-Stokes equations; 7.4.1 Definition of the stable invariant manifold; 7.4.2 Feedback operator and stabilization; 7.5 Feedback property for a control; 7.5.1 Definitions. The case of initial control; 7.5.2 The case of distributed control supported in a subdomain; 7.5.3 Real processes.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">7.6 Description of numerical algorithms7.6.1 General definitions; 7.6.2 Stable invariant manifold for a fixed point; 7.6.3 Projection onto the stable invariant manifold; 7.6.4 The stable manifold corresponding to a trajectory; 7.6.5 Projection onto the stable manifold; 7.6.6 Calculations with control in the right-hand side; 7.7 Results of numerical calculations; 7.7.1 The physical model and its mathematical setting; 7.7.2 The structure of the phase portrait; 7.7.3 Stabilization by control of the initial condition; 7.7.4 Stabilization by control of the right-hand side.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier-Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Fluid mechanics</subfield><subfield code="x">Mathematics.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Mécanique des fluides</subfield><subfield code="x">Mathématiques.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">TECHNOLOGY & ENGINEERING</subfield><subfield code="x">Hydraulics.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mecánica de fluidos</subfield><subfield code="x">Matemáticas</subfield><subfield code="2">embne</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fluid mechanics</subfield><subfield code="x">Mathematics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Robinson, James C.</subfield><subfield code="q">(James Cooper),</subfield><subfield code="d">1969-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCjMvYgkwGTwmMrQKrb9Yyd</subfield><subfield code="0">http://id.loc.gov/authorities/names/n00015114</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rodrigo Diez, José Luis,</subfield><subfield code="d">1977-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCjMyTrdmf9BJFwyhyDvpGd</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sadowski, Witold</subfield><subfield code="c">(Mathematician)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCjJTFrkP7PCtTv3fwJJrWP</subfield><subfield code="0">http://id.loc.gov/authorities/names/nb2012027093</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Mathematical aspects of fluid mechanics (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGkD9gwFrm3YvThdTmF9pd</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="z">9781283812368</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">London Mathematical Society lecture note series ;</subfield><subfield code="v">402.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n42015587</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=480327</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH34206397</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH33350919</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH26385799</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Coutts Information Services</subfield><subfield code="b">COUT</subfield><subfield code="n">24293860</subfield><subfield code="c">40.00 GBP</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest Ebook Central</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL1025076</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">480327</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Internet Archive</subfield><subfield code="b">INAR</subfield><subfield code="n">mathematicalaspe0000unse_u9i3</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">9935184</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">10194856</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">9914642</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">9915403</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-ocn818734225 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:03Z |
| institution | BVB |
| isbn | 9781139569453 1139569457 1139573012 9781139573016 9781139235792 1139235796 9781283812368 1283812363 9781139571265 1139571265 1139889877 9781139889872 1139579835 9781139579834 1139573683 9781139573689 1139570358 9781139570350 |
| language | English |
| oclc_num | 818734225 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xv, 258 pages) : illustrations. |
| psigel | ZDB-4-EBA |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Mathematical aspects of fluid mechanics / edited by James C. Robinson, José L. Rodrigo and Witold Sadowski. Cambridge, UK : Cambridge University Press, ©2012. 1 online resource (xv, 258 pages) : illustrations. text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 402 Includes bibliographical references. Print version record. Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; Dedication; Contents; Contents; Preface; Preface; List of Contributors; List of Contributors; 1 Towards fluid equations by approximate deconvolution models; 1.1 Introduction; 1.2 The approximate deconvolution; 1.3 High accuracy deconvolution alpha-models; 1.4 Energy spectrum; 1.5 Limiting behaviour in terms of the deconvolution parameter; References; 2 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph; 2.1 Introduction; 2.2 Orlicz spaces; 2.3 Selections. 2.4 Convergence tools2.5 Steady flows without convection; 2.6 Steady flows with convection; 2.7 Unsteady flows without convection; 2.8 Full problem; Acknowledgments; References; 3 A continuous model for turbulent energy cascade; 3.1 Motivation for the model; 3.1.1 Onsager and Kolmogorov; 3.1.2 Onsager's Conjecture and Besov spaces; 3.1.3 Littlewood-Paley framework for intermittency; 3.2 A continuous model for the energy flux; 3.3 Inviscid case; 3.4 Viscous case; References; 4 Remarks on complex fluid models; 4.1 Introduction; 4.2 Energetics; 4.3 Global existence issues; 4.4 Uniqueness issues. 7.2.3 Stabilization via a control supported on part of the boundary7.3 Construction of a stabilizing control for the Oseen equations; 7.3.1 Reduction to the linear case; 7.3.2 Description of the "correct" initial conditions; 7.3.3 Theorem on the stabilization of the Oseen equations; 7.4 Stabilization for the Navier-Stokes equations; 7.4.1 Definition of the stable invariant manifold; 7.4.2 Feedback operator and stabilization; 7.5 Feedback property for a control; 7.5.1 Definitions. The case of initial control; 7.5.2 The case of distributed control supported in a subdomain; 7.5.3 Real processes. 7.6 Description of numerical algorithms7.6.1 General definitions; 7.6.2 Stable invariant manifold for a fixed point; 7.6.3 Projection onto the stable invariant manifold; 7.6.4 The stable manifold corresponding to a trajectory; 7.6.5 Projection onto the stable manifold; 7.6.6 Calculations with control in the right-hand side; 7.7 Results of numerical calculations; 7.7.1 The physical model and its mathematical setting; 7.7.2 The structure of the phase portrait; 7.7.3 Stabilization by control of the initial condition; 7.7.4 Stabilization by control of the right-hand side. The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier-Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers. English. Fluid mechanics Mathematics. Mécanique des fluides Mathématiques. TECHNOLOGY & ENGINEERING Hydraulics. bisacsh Mecánica de fluidos Matemáticas embne Fluid mechanics Mathematics fast Robinson, James C. (James Cooper), 1969- https://id.oclc.org/worldcat/entity/E39PCjMvYgkwGTwmMrQKrb9Yyd http://id.loc.gov/authorities/names/n00015114 Rodrigo Diez, José Luis, 1977- https://id.oclc.org/worldcat/entity/E39PCjMyTrdmf9BJFwyhyDvpGd Sadowski, Witold (Mathematician) https://id.oclc.org/worldcat/entity/E39PCjJTFrkP7PCtTv3fwJJrWP http://id.loc.gov/authorities/names/nb2012027093 has work: Mathematical aspects of fluid mechanics (Text) https://id.oclc.org/worldcat/entity/E39PCGkD9gwFrm3YvThdTmF9pd https://id.oclc.org/worldcat/ontology/hasWork Print version: 9781283812368 London Mathematical Society lecture note series ; 402. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=480327 Volltext |
| spellingShingle | Mathematical aspects of fluid mechanics / London Mathematical Society lecture note series ; Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; Dedication; Contents; Contents; Preface; Preface; List of Contributors; List of Contributors; 1 Towards fluid equations by approximate deconvolution models; 1.1 Introduction; 1.2 The approximate deconvolution; 1.3 High accuracy deconvolution alpha-models; 1.4 Energy spectrum; 1.5 Limiting behaviour in terms of the deconvolution parameter; References; 2 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph; 2.1 Introduction; 2.2 Orlicz spaces; 2.3 Selections. 2.4 Convergence tools2.5 Steady flows without convection; 2.6 Steady flows with convection; 2.7 Unsteady flows without convection; 2.8 Full problem; Acknowledgments; References; 3 A continuous model for turbulent energy cascade; 3.1 Motivation for the model; 3.1.1 Onsager and Kolmogorov; 3.1.2 Onsager's Conjecture and Besov spaces; 3.1.3 Littlewood-Paley framework for intermittency; 3.2 A continuous model for the energy flux; 3.3 Inviscid case; 3.4 Viscous case; References; 4 Remarks on complex fluid models; 4.1 Introduction; 4.2 Energetics; 4.3 Global existence issues; 4.4 Uniqueness issues. 7.2.3 Stabilization via a control supported on part of the boundary7.3 Construction of a stabilizing control for the Oseen equations; 7.3.1 Reduction to the linear case; 7.3.2 Description of the "correct" initial conditions; 7.3.3 Theorem on the stabilization of the Oseen equations; 7.4 Stabilization for the Navier-Stokes equations; 7.4.1 Definition of the stable invariant manifold; 7.4.2 Feedback operator and stabilization; 7.5 Feedback property for a control; 7.5.1 Definitions. The case of initial control; 7.5.2 The case of distributed control supported in a subdomain; 7.5.3 Real processes. 7.6 Description of numerical algorithms7.6.1 General definitions; 7.6.2 Stable invariant manifold for a fixed point; 7.6.3 Projection onto the stable invariant manifold; 7.6.4 The stable manifold corresponding to a trajectory; 7.6.5 Projection onto the stable manifold; 7.6.6 Calculations with control in the right-hand side; 7.7 Results of numerical calculations; 7.7.1 The physical model and its mathematical setting; 7.7.2 The structure of the phase portrait; 7.7.3 Stabilization by control of the initial condition; 7.7.4 Stabilization by control of the right-hand side. Fluid mechanics Mathematics. Mécanique des fluides Mathématiques. TECHNOLOGY & ENGINEERING Hydraulics. bisacsh Mecánica de fluidos Matemáticas embne Fluid mechanics Mathematics fast |
| title | Mathematical aspects of fluid mechanics / |
| title_auth | Mathematical aspects of fluid mechanics / |
| title_exact_search | Mathematical aspects of fluid mechanics / |
| title_full | Mathematical aspects of fluid mechanics / edited by James C. Robinson, José L. Rodrigo and Witold Sadowski. |
| title_fullStr | Mathematical aspects of fluid mechanics / edited by James C. Robinson, José L. Rodrigo and Witold Sadowski. |
| title_full_unstemmed | Mathematical aspects of fluid mechanics / edited by James C. Robinson, José L. Rodrigo and Witold Sadowski. |
| title_short | Mathematical aspects of fluid mechanics / |
| title_sort | mathematical aspects of fluid mechanics |
| topic | Fluid mechanics Mathematics. Mécanique des fluides Mathématiques. TECHNOLOGY & ENGINEERING Hydraulics. bisacsh Mecánica de fluidos Matemáticas embne Fluid mechanics Mathematics fast |
| topic_facet | Fluid mechanics Mathematics. Mécanique des fluides Mathématiques. TECHNOLOGY & ENGINEERING Hydraulics. Mecánica de fluidos Matemáticas Fluid mechanics Mathematics |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=480327 |
| work_keys_str_mv | AT robinsonjamesc mathematicalaspectsoffluidmechanics AT rodrigodiezjoseluis mathematicalaspectsoffluidmechanics AT sadowskiwitold mathematicalaspectsoffluidmechanics |