Navier-Stokes equations and nonlinear functional analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Soc. for Industrial and Applied Math.
1995
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics
66 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 141 S. |
| ISBN: | 0898713404 |
Internformat
MARC
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| 245 | 1 | 0 | |a Navier-Stokes equations and nonlinear functional analysis |c Roger Temam |
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| 490 | 1 | |a National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics |v 66 | |
| 650 | 7 | |a Analyse fonctionnelle non linéaire |2 ram | |
| 650 | 7 | |a Fluides, Dynamique des |2 ram | |
| 650 | 7 | |a Navier-Stokes, Equations de - Solutions numériques |2 ram | |
| 650 | 7 | |a Navier-Stokes-vergelijkingen |2 gtt | |
| 650 | 7 | |a Niet-lineaire analyse |2 gtt | |
| 650 | 4 | |a Fluid dynamics | |
| 650 | 4 | |a Navier-Stokes equations |x Numerical solutions | |
| 650 | 4 | |a Nonlinear functional analysis | |
| 650 | 0 | 7 | |a Nichtlineare Funktionalanalysis |0 (DE-588)4042093-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Navier-Stokes-Gleichung |0 (DE-588)4041456-5 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804125074247122944 |
|---|---|
| adam_text | SUB GSTTLNGEN 203 992 253 ROGERTEMAM UNIVERSITE DE PARIS-SUD, ORSAY,
FRANCE INDIANA UNIVERSITY, BLOOMINGTON, INDIANA -STOKES EQUATIONS AND
NONLINEAR FUNCTIONAL ANALYSIS SECOND EDITION SOCIETY FOR INDUSTRIAL AND
APPLIED MATHEMATICS PHILADELPHIA, PENNSYLVANIA 1995 CONTENTS PREFACE TO
THE SECOND EDITION VII INTRODUCTION IX PART I. QUESTIONS RELATED TO THE
EXISTENCE, UNIQUENESS AND REGULARITY OF SOLUTIONS ORIENTATION 1.
REPRESENTATION OF A FLOW. THE NAVIER-STOKES EQUATIONS 2. FUNCTIONAL
SETTING OF THE EQUATIONS 2.1. FUNCTION SPACES 7 2.2. THE STOKES PROBLEM
AND THE OPERATOR A 9 2.3. SOBOLEV INEQUALITIES. THE TRILINEAR FORM B 11
2.4. VARIATIONAL FORMULATION OF THE EQUATIONS 13 2.5. FLOW IN A BOUNDED
DOMAIN 15 3. EXISTENCE AND UNIQUENESS THEOREMS (MOSTLY CLASSICAL
RESULTS) 3.1. A PRIORI ESTIMATES 17 3.2. EXISTENCE AND UNIQUENESS
RESULTS 21 3.3. OUTLINES OF THE PROOFS 23 3.4. GENERIC SOLVABILITY OF
THE NAVIER-STOKES EQUATIONS 25 4. NEW A PRIORI ESTIMATES AND
APPLICATIONS 4.1. ENERGY INEQUALITIES AND CONSEQUENCES 29 4.2. STRUCTURE
OF THE SINGULARITY SET OF A WEAK SOLUTION 32 4.3. NEW A PRIORI ESTIMATES
32 5. REGULARITY AND FRACTIONAL DIMENSION 5.1. HAUSDORFF MEASURE. TIME
SINGULARITIES 35 5.2. SPACE AND TIME SINGULARITIES 36 6. SUCCESSIVE
REGULARITY AND COMPATIBILITY CON- DITIONS AT T=0 (BOUNDED CASE) 6.1.
FURTHER PROPERTIES OF THE OPERATORS A AND B 43 6.2. REGULARITY RESULTS
44 6.3. OTHER RESULTS 47 IV CONTENTS 7. ANALYTICITY IN TIME 7.1. THE
ANALYTICITY RESULT 51 7.2. REMARKS 56 8. LAGRANGIAN REPRESENTATION OF
THE FLOW 8.1. THE MAIN RESULT 57 8.2. PROOF OF THEOREM 8.1 58 8.3.
APPENDIX 60 PART II. QUESTIONS RELATED TO STATIONARY SOLUTIONS AND
FUNCTIONAL INVARIANT SETS (ATTRACTORS) ORIENTATION 61 9. THE
COUETTE-TAYLOR EXPERIMENT 10. STATIONARY SOLUTIONS OF THE NAVIER-STOKES
EQUATIONS 10.1. BEHAVIOR FOR T** . THE TRIVIAL CASE 67 10.2. AN
ABSTRACT THEOREM ON STATIONARY SOLUTIONS 71 10.3. APPLICATION TO THE
NAVIER-STOKES EQUATIONS 72 10.4. COUNTEREXAMPLES 76 11. THE SQUEEZING
PROPERTY 11.1. AN A PRIORI ESTIMATE ON STRONG SOLUTIONS 79 11.2. THE
SQUEEZING PROPERTY 79 12. HAUSDORFF DIMENSION OF AN ATTRACTOR 12.1.
FUNCTIONAL INVARIANT SETS AND ATTRACTORS 85 12.2. HAUSDORFF DIMENSION OF
FUNCTIONAL INVARIANT SETS 86 12.3. OTHER PROPERTIES OF FUNCTIONAL
INVARIANT SETS 89 PART III. QUESTIONS RELATED TO THE NUMERICAL
APPROXIMATION ORIENTATION 91 13. FINITE TIME APPROXIMATION 13.1. AN
EXAMPLE OF SPACE-TIME DISCRETIZATION 93 13.2. THE CONVERGENCE THEOREM 95
CONTENTS 13.3. A COMPACTNESS THEOREM 97 13.4. PROOF OF THEOREM 13.1
(CONCLUSION) 100 14. LONG TIME APPROXIMATION OF THE NAVIER-STOKES
EQUATIONS 14.1. LONG TIME FINITE DIMENSIONAL APPROXIMATION 105 14.2.
GALERKIN APPROXIMATION 109 APPENDIX: INERTIAL MANIFOLDS AND
NAVIER-STOKES EQUATIONS 113 A.I. INERTIAL MANIFOLDS AND INERTIAL SYSTEMS
113 A.2. SURVEY OF THE MAIN RESULTS 114 A.3. INERTIAL SYSTEM FOR THE
NAVIER-STOKES EQUATIONS 119 A.4. FLOW AROUND A SPHERE 124 COMMENTS AND
BIBLIOGRAPHY 127 COMMENTS AND BIBLIOGRAPHY: UPDATE FOR THE SECOND
EDITION . . . . 129 REFERENCES 131
|
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| discipline | Physik Mathematik |
| edition | 2. ed. |
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| id | DE-604.BV010601519 |
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| indexdate | 2024-07-09T17:55:46Z |
| institution | BVB |
| isbn | 0898713404 |
| language | English |
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| physical | XIV, 141 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | Soc. for Industrial and Applied Math. |
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| series2 | National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics |
| spelling | Temam, Roger 1940- Verfasser (DE-588)1024798135 aut Navier-Stokes equations and nonlinear functional analysis Roger Temam 2. ed. Philadelphia, Pa. Soc. for Industrial and Applied Math. 1995 XIV, 141 S. txt rdacontent n rdamedia nc rdacarrier National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics 66 Analyse fonctionnelle non linéaire ram Fluides, Dynamique des ram Navier-Stokes, Equations de - Solutions numériques ram Navier-Stokes-vergelijkingen gtt Niet-lineaire analyse gtt Fluid dynamics Navier-Stokes equations Numerical solutions Nonlinear functional analysis Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Navier-Stokes-Gleichung (DE-588)4041456-5 s Nichtlineare Funktionalanalysis (DE-588)4042093-0 s DE-604 Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics National Science Foundation 66 (DE-604)BV000016696 66 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007071054&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Temam, Roger 1940- Navier-Stokes equations and nonlinear functional analysis Analyse fonctionnelle non linéaire ram Fluides, Dynamique des ram Navier-Stokes, Equations de - Solutions numériques ram Navier-Stokes-vergelijkingen gtt Niet-lineaire analyse gtt Fluid dynamics Navier-Stokes equations Numerical solutions Nonlinear functional analysis Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd |
| subject_GND | (DE-588)4042093-0 (DE-588)4041456-5 (DE-588)4113937-9 |
| title | Navier-Stokes equations and nonlinear functional analysis |
| title_auth | Navier-Stokes equations and nonlinear functional analysis |
| title_exact_search | Navier-Stokes equations and nonlinear functional analysis |
| title_full | Navier-Stokes equations and nonlinear functional analysis Roger Temam |
| title_fullStr | Navier-Stokes equations and nonlinear functional analysis Roger Temam |
| title_full_unstemmed | Navier-Stokes equations and nonlinear functional analysis Roger Temam |
| title_short | Navier-Stokes equations and nonlinear functional analysis |
| title_sort | navier stokes equations and nonlinear functional analysis |
| topic | Analyse fonctionnelle non linéaire ram Fluides, Dynamique des ram Navier-Stokes, Equations de - Solutions numériques ram Navier-Stokes-vergelijkingen gtt Niet-lineaire analyse gtt Fluid dynamics Navier-Stokes equations Numerical solutions Nonlinear functional analysis Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd |
| topic_facet | Analyse fonctionnelle non linéaire Fluides, Dynamique des Navier-Stokes, Equations de - Solutions numériques Navier-Stokes-vergelijkingen Niet-lineaire analyse Fluid dynamics Navier-Stokes equations Numerical solutions Nonlinear functional analysis Nichtlineare Funktionalanalysis Navier-Stokes-Gleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007071054&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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