Bifurcations in Flow Patterns: Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1991
|
| Schriftenreihe: | Nonlinear Topics in the Mathematical Sciences, An International Book Series dealing with Past, Current and Future Advances and Developments in the Mathematics of Nonlinear Science
2 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The main idea of the present study is to demonstrate that the qualitative theory of diffe rential equations, when applied to problems in fluid-and gasdynamics, will contribute to the understanding of qualitative aspects of fluid flows, in particular those concerned with geometrical properties of flow fields such as shape and stability of its streamline patterns. It is obvious that insight into the qualitative structure of flow fields is of great importance and appears as an ultimate aim of flow research. Qualitative insight fashions our know ledge and serves as a good guide for further quantitative investigations. Moreover, quali tative information can become very useful, especially when it is applied in close corres pondence with numerical methods, in order to interpret and value numerical results. A qualitative analysis may be crucial for the investigation of the flow in the neighbourhood of singularities where a numerical method is not reliable anymore due to discretisation er rors being unacceptable. Up till now, familiar research methods -frequently based on rigorous analyses, careful nu merical procedures and sophisticated experimental techniques -have increased considera bly our qualitative knowledge of flows, albeit that the information is often obtained indirectly by a process of a careful but cumbersome examination of quantitative data. In the past decade, new methods are under development that yield the qualitative infor mation more directly. These methods, make use of the knowledge available in the qualitative theory of differen tial equations and in the theory of bifurcations |
| Beschreibung: | 1 Online-Ressource (XI, 211 p) |
| ISBN: | 9789401135122 9789401055536 |
| ISSN: | 0925-6660 |
| DOI: | 10.1007/978-94-011-3512-2 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042423911 | ||
| 003 | DE-604 | ||
| 005 | 20150907 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1991 |||| o||u| ||||||eng d | ||
| 020 | |a 9789401135122 |c Online |9 978-94-011-3512-2 | ||
| 020 | |a 9789401055536 |c Print |9 978-94-010-5553-6 | ||
| 024 | 7 | |a 10.1007/978-94-011-3512-2 |2 doi | |
| 035 | |a (OCoLC)863683306 | ||
| 035 | |a (DE-599)BVBBV042423911 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 531 |2 23 | |
| 084 | |a PHY 220f |2 stub | ||
| 084 | |a MAT 000 |2 stub | ||
| 084 | |a MAT 587f |2 stub | ||
| 084 | |a PHY 229f |2 stub | ||
| 100 | 1 | |a Bakker, P. G. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Bifurcations in Flow Patterns |b Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics |c by P. G. Bakker |
| 264 | 1 | |a Dordrecht |b Springer Netherlands |c 1991 | |
| 300 | |a 1 Online-Ressource (XI, 211 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Nonlinear Topics in the Mathematical Sciences, An International Book Series dealing with Past, Current and Future Advances and Developments in the Mathematics of Nonlinear Science |v 2 |x 0925-6660 | |
| 500 | |a The main idea of the present study is to demonstrate that the qualitative theory of diffe rential equations, when applied to problems in fluid-and gasdynamics, will contribute to the understanding of qualitative aspects of fluid flows, in particular those concerned with geometrical properties of flow fields such as shape and stability of its streamline patterns. It is obvious that insight into the qualitative structure of flow fields is of great importance and appears as an ultimate aim of flow research. Qualitative insight fashions our know ledge and serves as a good guide for further quantitative investigations. Moreover, quali tative information can become very useful, especially when it is applied in close corres pondence with numerical methods, in order to interpret and value numerical results. A qualitative analysis may be crucial for the investigation of the flow in the neighbourhood of singularities where a numerical method is not reliable anymore due to discretisation er rors being unacceptable. Up till now, familiar research methods -frequently based on rigorous analyses, careful nu merical procedures and sophisticated experimental techniques -have increased considera bly our qualitative knowledge of flows, albeit that the information is often obtained indirectly by a process of a careful but cumbersome examination of quantitative data. In the past decade, new methods are under development that yield the qualitative infor mation more directly. These methods, make use of the knowledge available in the qualitative theory of differen tial equations and in the theory of bifurcations | ||
| 650 | 4 | |a Physics | |
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Mechanics | |
| 650 | 4 | |a Classical Continuum Physics | |
| 650 | 4 | |a Applications of Mathematics | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Nichtlineare Differentialgleichung |0 (DE-588)4205536-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Verzweigung |g Mathematik |0 (DE-588)4078889-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Strömungsmechanik |0 (DE-588)4077970-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineare Differentialgleichung |0 (DE-588)4205536-2 |D s |
| 689 | 0 | 1 | |a Verzweigung |g Mathematik |0 (DE-588)4078889-1 |D s |
| 689 | 0 | 2 | |a Strömungsmechanik |0 (DE-588)4077970-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-94-011-3512-2 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027859328 | ||
Datensatz im Suchindex
| _version_ | 1804153100233080832 |
|---|---|
| any_adam_object | |
| author | Bakker, P. G. |
| author_facet | Bakker, P. G. |
| author_role | aut |
| author_sort | Bakker, P. G. |
| author_variant | p g b pg pgb |
| building | Verbundindex |
| bvnumber | BV042423911 |
| classification_tum | PHY 220f MAT 000 MAT 587f PHY 229f |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863683306 (DE-599)BVBBV042423911 |
| dewey-full | 531 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531 |
| dewey-search | 531 |
| dewey-sort | 3531 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-94-011-3512-2 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03743nmm a2200553zcb4500</leader><controlfield tag="001">BV042423911</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150907 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1991 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789401135122</subfield><subfield code="c">Online</subfield><subfield code="9">978-94-011-3512-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789401055536</subfield><subfield code="c">Print</subfield><subfield code="9">978-94-010-5553-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-94-011-3512-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863683306</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042423911</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">531</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 220f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 587f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 229f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bakker, P. G.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Bifurcations in Flow Patterns</subfield><subfield code="b">Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics</subfield><subfield code="c">by P. G. Bakker</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Dordrecht</subfield><subfield code="b">Springer Netherlands</subfield><subfield code="c">1991</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XI, 211 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Nonlinear Topics in the Mathematical Sciences, An International Book Series dealing with Past, Current and Future Advances and Developments in the Mathematics of Nonlinear Science</subfield><subfield code="v">2</subfield><subfield code="x">0925-6660</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">The main idea of the present study is to demonstrate that the qualitative theory of diffe rential equations, when applied to problems in fluid-and gasdynamics, will contribute to the understanding of qualitative aspects of fluid flows, in particular those concerned with geometrical properties of flow fields such as shape and stability of its streamline patterns. It is obvious that insight into the qualitative structure of flow fields is of great importance and appears as an ultimate aim of flow research. Qualitative insight fashions our know ledge and serves as a good guide for further quantitative investigations. Moreover, quali tative information can become very useful, especially when it is applied in close corres pondence with numerical methods, in order to interpret and value numerical results. A qualitative analysis may be crucial for the investigation of the flow in the neighbourhood of singularities where a numerical method is not reliable anymore due to discretisation er rors being unacceptable. Up till now, familiar research methods -frequently based on rigorous analyses, careful nu merical procedures and sophisticated experimental techniques -have increased considera bly our qualitative knowledge of flows, albeit that the information is often obtained indirectly by a process of a careful but cumbersome examination of quantitative data. In the past decade, new methods are under development that yield the qualitative infor mation more directly. These methods, make use of the knowledge available in the qualitative theory of differen tial equations and in the theory of bifurcations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Classical Continuum Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Applications of Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare Differentialgleichung</subfield><subfield code="0">(DE-588)4205536-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Verzweigung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4078889-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Strömungsmechanik</subfield><subfield code="0">(DE-588)4077970-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nichtlineare Differentialgleichung</subfield><subfield code="0">(DE-588)4205536-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Verzweigung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4078889-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Strömungsmechanik</subfield><subfield code="0">(DE-588)4077970-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-94-011-3512-2</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027859328</subfield></datafield></record></collection> |
| id | DE-604.BV042423911 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401135122 9789401055536 |
| issn | 0925-6660 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859328 |
| oclc_num | 863683306 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XI, 211 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer Netherlands |
| record_format | marc |
| series2 | Nonlinear Topics in the Mathematical Sciences, An International Book Series dealing with Past, Current and Future Advances and Developments in the Mathematics of Nonlinear Science |
| spelling | Bakker, P. G. Verfasser aut Bifurcations in Flow Patterns Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics by P. G. Bakker Dordrecht Springer Netherlands 1991 1 Online-Ressource (XI, 211 p) txt rdacontent c rdamedia cr rdacarrier Nonlinear Topics in the Mathematical Sciences, An International Book Series dealing with Past, Current and Future Advances and Developments in the Mathematics of Nonlinear Science 2 0925-6660 The main idea of the present study is to demonstrate that the qualitative theory of diffe rential equations, when applied to problems in fluid-and gasdynamics, will contribute to the understanding of qualitative aspects of fluid flows, in particular those concerned with geometrical properties of flow fields such as shape and stability of its streamline patterns. It is obvious that insight into the qualitative structure of flow fields is of great importance and appears as an ultimate aim of flow research. Qualitative insight fashions our know ledge and serves as a good guide for further quantitative investigations. Moreover, quali tative information can become very useful, especially when it is applied in close corres pondence with numerical methods, in order to interpret and value numerical results. A qualitative analysis may be crucial for the investigation of the flow in the neighbourhood of singularities where a numerical method is not reliable anymore due to discretisation er rors being unacceptable. Up till now, familiar research methods -frequently based on rigorous analyses, careful nu merical procedures and sophisticated experimental techniques -have increased considera bly our qualitative knowledge of flows, albeit that the information is often obtained indirectly by a process of a careful but cumbersome examination of quantitative data. In the past decade, new methods are under development that yield the qualitative infor mation more directly. These methods, make use of the knowledge available in the qualitative theory of differen tial equations and in the theory of bifurcations Physics Mathematics Mechanics Classical Continuum Physics Applications of Mathematics Mathematik Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 s Verzweigung Mathematik (DE-588)4078889-1 s Strömungsmechanik (DE-588)4077970-1 s DE-604 https://doi.org/10.1007/978-94-011-3512-2 Verlag Volltext |
| spellingShingle | Bakker, P. G. Bifurcations in Flow Patterns Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics Physics Mathematics Mechanics Classical Continuum Physics Applications of Mathematics Mathematik Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4205536-2 (DE-588)4078889-1 (DE-588)4077970-1 |
| title | Bifurcations in Flow Patterns Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics |
| title_auth | Bifurcations in Flow Patterns Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics |
| title_exact_search | Bifurcations in Flow Patterns Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics |
| title_full | Bifurcations in Flow Patterns Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics by P. G. Bakker |
| title_fullStr | Bifurcations in Flow Patterns Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics by P. G. Bakker |
| title_full_unstemmed | Bifurcations in Flow Patterns Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics by P. G. Bakker |
| title_short | Bifurcations in Flow Patterns |
| title_sort | bifurcations in flow patterns some applications of the qualitative theory of differential equations in fluid dynamics |
| title_sub | Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics |
| topic | Physics Mathematics Mechanics Classical Continuum Physics Applications of Mathematics Mathematik Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Physics Mathematics Mechanics Classical Continuum Physics Applications of Mathematics Mathematik Nichtlineare Differentialgleichung Verzweigung Mathematik Strömungsmechanik |
| url | https://doi.org/10.1007/978-94-011-3512-2 |
| work_keys_str_mv | AT bakkerpg bifurcationsinflowpatternssomeapplicationsofthequalitativetheoryofdifferentialequationsinfluiddynamics |