Exponential attractors for dissipative evolution equations:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Chichester [u.a.]
Wiley [u.a.]
1994
|
| Schriftenreihe: | Research in applied mathematics
37 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 182 S. |
| ISBN: | 0471952230 |
Internformat
MARC
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| 245 | 1 | 0 | |a Exponential attractors for dissipative evolution equations |c A. Eden ... |
| 264 | 1 | |a Chichester [u.a.] |b Wiley [u.a.] |c 1994 | |
| 300 | |a VIII, 182 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Research in applied mathematics |v 37 | |
| 650 | 7 | |a Dynamique différentiable |2 ram | |
| 650 | 4 | |a Ecuaciones diferenciales parciales | |
| 650 | 7 | |a Equations aux dérivées partielles |2 ram | |
| 650 | 7 | |a Equations d'évolution non-linéaires - Solutions numériques |2 ram | |
| 650 | 4 | |a Sistemas dinámicos diferenciales | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Evolution equations, Nonlinear |x Numerical solutions | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-006643405 | ||
Datensatz im Suchindex
| _version_ | 1804124399646801920 |
|---|---|
| adam_text | Contents
1. Introductory Remarks 1
2. Construction of Exponential Attractors for Maps 9
3. Exponential Attractors for Dissipative Evolution Equations of First
Order 25
4. Approximation of Exponential Attractors 35
4.1. A Simple Galerkin Approximation 35
5. Applications 39
5.1. Kuramoto Sivashinsky Equation 39
5.2. Kolmogorov Sivashinsky Spiegel Equation 44
5.3. 2D Navier Stokes Equations 53
5.4. 3D Navier Stokes Equations 61
5.5. The Original Burgers Equations 65
5.6. Chaffee Infante Reaction Diffusion Equations 74
6. Exponential Attractors for Second Order Evolution Equations with
Damping and Applications 81
6.1. Functional Set Up for Second Order Evolution Equations ... 82
6.2. Discrete Squeezing Property for Second Order Evolution Equations
with Damping 83
6.3. Applications to Damped Semilinear Wave Equations 89
6.3.1. Sine Gordon Equations 89
6.3.2. Klein Gordon Type Equations 90
6.3.3. Systems of Sine Gordon Equations 91
7. Alternative Construction of Exponential Attractors for Evolution
Equations 93
7.1. Exponential Attractors of Optimal Hausdorff Dimension ... 94
7.2. Exponential Attractors of Optimal Outer Lyapunov Dimension 98
vjii Contents
8. Inertial Manifolds: A Brief Review and Comparison Ill
9. Finite Dimensional Dynamics on Exponential Attractors .... 119
10. Mane s Projections and Inertially Equivalent Dynamical Systems 125
10.1. Generalized Dynamical Systems and the Induced Dynamics
under Mane s Projection 128
10.2. Lifting the Generalized Dynamical System 133
Appendix A. A Constructive Proof of Mane s Theorem for Hilbert
Spaces 141
Appendix B. A Simple Estimate of the Topological Entropy .... 161
Appendix C. Mathematical Background of Fractal Sets 165
References 173
|
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| genre_facet | Konferenzschrift |
| id | DE-604.BV010020597 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:45:03Z |
| institution | BVB |
| isbn | 0471952230 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006643405 |
| oclc_num | 31608409 |
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| owner_facet | DE-91G DE-BY-TUM DE-12 DE-634 DE-11 |
| physical | VIII, 182 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Wiley [u.a.] |
| record_format | marc |
| series | Research in applied mathematics |
| series2 | Research in applied mathematics |
| spelling | Exponential attractors for dissipative evolution equations A. Eden ... Chichester [u.a.] Wiley [u.a.] 1994 VIII, 182 S. txt rdacontent n rdamedia nc rdacarrier Research in applied mathematics 37 Dynamique différentiable ram Ecuaciones diferenciales parciales Equations aux dérivées partielles ram Equations d'évolution non-linéaires - Solutions numériques ram Sistemas dinámicos diferenciales Differentiable dynamical systems Differential equations, Partial Evolution equations, Nonlinear Numerical solutions Dynamisches System (DE-588)4013396-5 gnd rswk-swf Invariante Mannigfaltigkeit (DE-588)4348147-4 gnd rswk-swf Attraktor (DE-588)4140563-8 gnd rswk-swf Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Dynamisches System (DE-588)4013396-5 s Nichtlineare Evolutionsgleichung (DE-588)4221363-0 s Attraktor (DE-588)4140563-8 s DE-604 Invariante Mannigfaltigkeit (DE-588)4348147-4 s Eden, A. Sonstige oth Research in applied mathematics 37 (DE-604)BV002654185 37 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006643405&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Exponential attractors for dissipative evolution equations Research in applied mathematics Dynamique différentiable ram Ecuaciones diferenciales parciales Equations aux dérivées partielles ram Equations d'évolution non-linéaires - Solutions numériques ram Sistemas dinámicos diferenciales Differentiable dynamical systems Differential equations, Partial Evolution equations, Nonlinear Numerical solutions Dynamisches System (DE-588)4013396-5 gnd Invariante Mannigfaltigkeit (DE-588)4348147-4 gnd Attraktor (DE-588)4140563-8 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4348147-4 (DE-588)4140563-8 (DE-588)4221363-0 (DE-588)1071861417 |
| title | Exponential attractors for dissipative evolution equations |
| title_auth | Exponential attractors for dissipative evolution equations |
| title_exact_search | Exponential attractors for dissipative evolution equations |
| title_full | Exponential attractors for dissipative evolution equations A. Eden ... |
| title_fullStr | Exponential attractors for dissipative evolution equations A. Eden ... |
| title_full_unstemmed | Exponential attractors for dissipative evolution equations A. Eden ... |
| title_short | Exponential attractors for dissipative evolution equations |
| title_sort | exponential attractors for dissipative evolution equations |
| topic | Dynamique différentiable ram Ecuaciones diferenciales parciales Equations aux dérivées partielles ram Equations d'évolution non-linéaires - Solutions numériques ram Sistemas dinámicos diferenciales Differentiable dynamical systems Differential equations, Partial Evolution equations, Nonlinear Numerical solutions Dynamisches System (DE-588)4013396-5 gnd Invariante Mannigfaltigkeit (DE-588)4348147-4 gnd Attraktor (DE-588)4140563-8 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd |
| topic_facet | Dynamique différentiable Ecuaciones diferenciales parciales Equations aux dérivées partielles Equations d'évolution non-linéaires - Solutions numériques Sistemas dinámicos diferenciales Differentiable dynamical systems Differential equations, Partial Evolution equations, Nonlinear Numerical solutions Dynamisches System Invariante Mannigfaltigkeit Attraktor Nichtlineare Evolutionsgleichung Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006643405&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT edena exponentialattractorsfordissipativeevolutionequations |