The Stokes equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Akad.-Verl.
1994
|
| Edition: | 1. ed. |
| Series: | Mathematical research
76 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 153 S. |
| ISBN: | 3055016343 |
Staff View
MARC
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| 100 | 1 | |a Varnhorn, Werner |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The Stokes equations |c Werner Varnhorn |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Berlin |b Akad.-Verl. |c 1994 | |
| 300 | |a 153 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Mathematical research |v 76 | |
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Record in the Search Index
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| adam_text | Contents
Introduction 9
1 The Stationary Stokes Equations in Exterior Domains 14
1.1 Hydrodynamical Potential Theory 14
1.2 The Boundary Integral Equations 20
1.3 Existence and Uniqueness in Sobolev Spaces 25
1.4 Strong Solutions for the Non Homogeneous Equations 32
1.5 On the Divergence Equation 42
1.6 Existence and Uniqueness for the Non Homogeneous Equations .... 50
2 The Stokes Resolvent Equations in Exterior Domains 56
2.1 The Fundamental Tensor and the Stress Tensor 56
2.2 Properties of the Surface Potentials 63
2.3 The Boundary Value Problems 67
2.4 On the Asymptotics of the Surface Potentials 78
2.5 LT Estimates of the Potentials for Small Resolvent Parameters 84
2.6 The Boundedness of the Stokes Semigroup in Exterior Domains .... 95
3 The Non Stationary Stokes Equations in Bounded Domains 99
3.1 A First Order Approximation 99
3.2 Optimal Order Convergence in Hilbert Spaces 103
3.3 The Method of Crank Nicholson 110
3.4 Convergence of Second Order 113
3.5 Stabilization of the Non Linear Navier Stokes Equations 121
3.6 Semi Discretization of a Stabilized Navier Stokes System 130
Bibliography 142
Index 154
|
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| indexdate | 2024-07-09T17:37:32Z |
| institution | BVB |
| isbn | 3055016343 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006335760 |
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| physical | 153 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Akad.-Verl. |
| record_format | marc |
| series | Mathematical research |
| series2 | Mathematical research |
| spelling | Varnhorn, Werner Verfasser aut The Stokes equations Werner Varnhorn 1. ed. Berlin Akad.-Verl. 1994 153 S. txt rdacontent n rdamedia nc rdacarrier Mathematical research 76 Navier-Stokes-vergelijkingen gtt Stokes equations Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 s DE-604 Mathematical research 76 (DE-604)BV000008585 76 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006335760&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Varnhorn, Werner The Stokes equations Mathematical research Navier-Stokes-vergelijkingen gtt Stokes equations Navier-Stokes-Gleichung (DE-588)4041456-5 gnd |
| subject_GND | (DE-588)4041456-5 |
| title | The Stokes equations |
| title_auth | The Stokes equations |
| title_exact_search | The Stokes equations |
| title_full | The Stokes equations Werner Varnhorn |
| title_fullStr | The Stokes equations Werner Varnhorn |
| title_full_unstemmed | The Stokes equations Werner Varnhorn |
| title_short | The Stokes equations |
| title_sort | the stokes equations |
| topic | Navier-Stokes-vergelijkingen gtt Stokes equations Navier-Stokes-Gleichung (DE-588)4041456-5 gnd |
| topic_facet | Navier-Stokes-vergelijkingen Stokes equations Navier-Stokes-Gleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006335760&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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