Variational Methods Applied to Problems of Diffusion and Reaction:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1973
|
| Series: | Springer Tracts in Natural Philosophy
24 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles. It was written during a period that included sabbatical leaves of one of us (W. S. ) at the University of Minnesota and the other (R. A. ) at the University of Cambridge and we are grateful to the Petroleum Research Fund for helping to support the former and the Guggenheim Foundation for making possible the latter. We would also like to thank Stephen Prager for getting us together in the first place and for showing how interesting and useful these methods can be. We have also benefitted from correspondence with Dr. A. M. Arthurs of the University of York and from the counsel of Dr. B. D. Coleman the general editor of this series. Table of Contents Chapter 1. Introduction and Preliminaries . 1. 1. General Survey 1 1. 2. Phenomenological Descriptions of Diffusion and Reaction 2 1. 3. Correlation Functions for Random Suspensions 4 1. 4. Mean Free Path Statistics . 8 1. 5. Void Point-Surface Statistics . 11 1. 6. Variational Principles Applied to the Diffusion Equation. 12 1. 7. Notation. 16 Chapter 2. Diffusion Through a Porous Medium . 18 2. 1. Introduction 18 2. 2. Diffusion Through an Isotropic Porous Medium 18 2. 3. Variational Formulation for De . 20 2. 4. Bounds on De for an Isotropic Suspension 22 2. 5 |
| Physical Description: | 1 Online-Ressource (X, 112 p) |
| ISBN: | 9783642656248 9783642656262 |
| ISSN: | 0081-3877 |
| DOI: | 10.1007/978-3-642-65624-8 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042422881 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1973 |||| o||u| ||||||eng d | ||
| 020 | |a 9783642656248 |c Online |9 978-3-642-65624-8 | ||
| 020 | |a 9783642656262 |c Print |9 978-3-642-65626-2 | ||
| 024 | 7 | |a 10.1007/978-3-642-65624-8 |2 doi | |
| 035 | |a (OCoLC)1184326053 | ||
| 035 | |a (DE-599)BVBBV042422881 | ||
| 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 515.7 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Strieder, William |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Variational Methods Applied to Problems of Diffusion and Reaction |c by William Strieder, Rutherford Aris |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1973 | |
| 300 | |a 1 Online-Ressource (X, 112 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Springer Tracts in Natural Philosophy |v 24 |x 0081-3877 | |
| 500 | |a This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles. It was written during a period that included sabbatical leaves of one of us (W. S. ) at the University of Minnesota and the other (R. A. ) at the University of Cambridge and we are grateful to the Petroleum Research Fund for helping to support the former and the Guggenheim Foundation for making possible the latter. We would also like to thank Stephen Prager for getting us together in the first place and for showing how interesting and useful these methods can be. We have also benefitted from correspondence with Dr. A. M. Arthurs of the University of York and from the counsel of Dr. B. D. Coleman the general editor of this series. Table of Contents Chapter 1. Introduction and Preliminaries . 1. 1. General Survey 1 1. 2. Phenomenological Descriptions of Diffusion and Reaction 2 1. 3. Correlation Functions for Random Suspensions 4 1. 4. Mean Free Path Statistics . 8 1. 5. Void Point-Surface Statistics . 11 1. 6. Variational Principles Applied to the Diffusion Equation. 12 1. 7. Notation. 16 Chapter 2. Diffusion Through a Porous Medium . 18 2. 1. Introduction 18 2. 2. Diffusion Through an Isotropic Porous Medium 18 2. 3. Variational Formulation for De . 20 2. 4. Bounds on De for an Isotropic Suspension 22 2. 5 | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Chemical engineering | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Functional Analysis | |
| 650 | 4 | |a Industrial Chemistry/Chemical Engineering | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Diffusion |0 (DE-588)4012277-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Chemische Reaktion |0 (DE-588)4009853-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Variationsrechnung |0 (DE-588)4062355-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Diffusion |0 (DE-588)4012277-3 |D s |
| 689 | 0 | 1 | |a Variationsrechnung |0 (DE-588)4062355-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Chemische Reaktion |0 (DE-588)4009853-9 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Aris, Rutherford |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-65624-8 |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:BVB01-027858298 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804153097902096384 |
|---|---|
| any_adam_object | |
| author | Strieder, William |
| author_facet | Strieder, William |
| author_role | aut |
| author_sort | Strieder, William |
| author_variant | w s ws |
| building | Verbundindex |
| bvnumber | BV042422881 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184326053 (DE-599)BVBBV042422881 |
| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-65624-8 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03480nmm a2200565zcb4500</leader><controlfield tag="001">BV042422881</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1973 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642656248</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-642-65624-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642656262</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-642-65626-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-642-65624-8</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1184326053</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042422881</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">515.7</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Strieder, William</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Variational Methods Applied to Problems of Diffusion and Reaction</subfield><subfield code="c">by William Strieder, Rutherford Aris</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">1973</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (X, 112 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">Springer Tracts in Natural Philosophy</subfield><subfield code="v">24</subfield><subfield code="x">0081-3877</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles. It was written during a period that included sabbatical leaves of one of us (W. S. ) at the University of Minnesota and the other (R. A. ) at the University of Cambridge and we are grateful to the Petroleum Research Fund for helping to support the former and the Guggenheim Foundation for making possible the latter. We would also like to thank Stephen Prager for getting us together in the first place and for showing how interesting and useful these methods can be. We have also benefitted from correspondence with Dr. A. M. Arthurs of the University of York and from the counsel of Dr. B. D. Coleman the general editor of this series. Table of Contents Chapter 1. Introduction and Preliminaries . 1. 1. General Survey 1 1. 2. Phenomenological Descriptions of Diffusion and Reaction 2 1. 3. Correlation Functions for Random Suspensions 4 1. 4. Mean Free Path Statistics . 8 1. 5. Void Point-Surface Statistics . 11 1. 6. Variational Principles Applied to the Diffusion Equation. 12 1. 7. Notation. 16 Chapter 2. Diffusion Through a Porous Medium . 18 2. 1. Introduction 18 2. 2. Diffusion Through an Isotropic Porous Medium 18 2. 3. Variational Formulation for De . 20 2. 4. Bounds on De for an Isotropic Suspension 22 2. 5</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chemical engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Industrial Chemistry/Chemical Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Diffusion</subfield><subfield code="0">(DE-588)4012277-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Chemische Reaktion</subfield><subfield code="0">(DE-588)4009853-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Diffusion</subfield><subfield code="0">(DE-588)4012277-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Chemische Reaktion</subfield><subfield code="0">(DE-588)4009853-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Aris, Rutherford</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-642-65624-8</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:BVB01-027858298</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042422881 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642656248 9783642656262 |
| issn | 0081-3877 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858298 |
| oclc_num | 1184326053 |
| 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 (X, 112 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Springer Tracts in Natural Philosophy |
| spelling | Strieder, William Verfasser aut Variational Methods Applied to Problems of Diffusion and Reaction by William Strieder, Rutherford Aris Berlin, Heidelberg Springer Berlin Heidelberg 1973 1 Online-Ressource (X, 112 p) txt rdacontent c rdamedia cr rdacarrier Springer Tracts in Natural Philosophy 24 0081-3877 This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles. It was written during a period that included sabbatical leaves of one of us (W. S. ) at the University of Minnesota and the other (R. A. ) at the University of Cambridge and we are grateful to the Petroleum Research Fund for helping to support the former and the Guggenheim Foundation for making possible the latter. We would also like to thank Stephen Prager for getting us together in the first place and for showing how interesting and useful these methods can be. We have also benefitted from correspondence with Dr. A. M. Arthurs of the University of York and from the counsel of Dr. B. D. Coleman the general editor of this series. Table of Contents Chapter 1. Introduction and Preliminaries . 1. 1. General Survey 1 1. 2. Phenomenological Descriptions of Diffusion and Reaction 2 1. 3. Correlation Functions for Random Suspensions 4 1. 4. Mean Free Path Statistics . 8 1. 5. Void Point-Surface Statistics . 11 1. 6. Variational Principles Applied to the Diffusion Equation. 12 1. 7. Notation. 16 Chapter 2. Diffusion Through a Porous Medium . 18 2. 1. Introduction 18 2. 2. Diffusion Through an Isotropic Porous Medium 18 2. 3. Variational Formulation for De . 20 2. 4. Bounds on De for an Isotropic Suspension 22 2. 5 Mathematics Chemical engineering Functional analysis Functional Analysis Industrial Chemistry/Chemical Engineering Mathematik Diffusion (DE-588)4012277-3 gnd rswk-swf Chemische Reaktion (DE-588)4009853-9 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Diffusion (DE-588)4012277-3 s Variationsrechnung (DE-588)4062355-5 s 1\p DE-604 Chemische Reaktion (DE-588)4009853-9 s 2\p DE-604 Aris, Rutherford Sonstige oth https://doi.org/10.1007/978-3-642-65624-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Strieder, William Variational Methods Applied to Problems of Diffusion and Reaction Mathematics Chemical engineering Functional analysis Functional Analysis Industrial Chemistry/Chemical Engineering Mathematik Diffusion (DE-588)4012277-3 gnd Chemische Reaktion (DE-588)4009853-9 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| subject_GND | (DE-588)4012277-3 (DE-588)4009853-9 (DE-588)4062355-5 |
| title | Variational Methods Applied to Problems of Diffusion and Reaction |
| title_auth | Variational Methods Applied to Problems of Diffusion and Reaction |
| title_exact_search | Variational Methods Applied to Problems of Diffusion and Reaction |
| title_full | Variational Methods Applied to Problems of Diffusion and Reaction by William Strieder, Rutherford Aris |
| title_fullStr | Variational Methods Applied to Problems of Diffusion and Reaction by William Strieder, Rutherford Aris |
| title_full_unstemmed | Variational Methods Applied to Problems of Diffusion and Reaction by William Strieder, Rutherford Aris |
| title_short | Variational Methods Applied to Problems of Diffusion and Reaction |
| title_sort | variational methods applied to problems of diffusion and reaction |
| topic | Mathematics Chemical engineering Functional analysis Functional Analysis Industrial Chemistry/Chemical Engineering Mathematik Diffusion (DE-588)4012277-3 gnd Chemische Reaktion (DE-588)4009853-9 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| topic_facet | Mathematics Chemical engineering Functional analysis Functional Analysis Industrial Chemistry/Chemical Engineering Mathematik Diffusion Chemische Reaktion Variationsrechnung |
| url | https://doi.org/10.1007/978-3-642-65624-8 |
| work_keys_str_mv | AT striederwilliam variationalmethodsappliedtoproblemsofdiffusionandreaction AT arisrutherford variationalmethodsappliedtoproblemsofdiffusionandreaction |