The equations of Navier-Stokes and abstract parabolic equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Braunschweig u.a.
Vieweg
1985
|
| Series: | Aspects of mathematics E
8. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXIV, 264 S. |
| ISBN: | 3528089156 |
Staff View
MARC
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| 100 | 1 | |a Wahl, Wolf von |d 1942- |e Verfasser |0 (DE-588)122059638 |4 aut | |
| 245 | 1 | 0 | |a The equations of Navier-Stokes and abstract parabolic equations |
| 264 | 1 | |a Braunschweig u.a. |b Vieweg |c 1985 | |
| 300 | |a XXIV, 264 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Aspects of mathematics / E. |v 8. | |
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| 650 | 4 | |a Écoulement visqueux | |
| 650 | 4 | |a Initial value problems | |
| 650 | 4 | |a Navier-Stokes equations | |
| 650 | 4 | |a Viscous flow | |
| 650 | 0 | 7 | |a Navier-Stokes-Gleichung |0 (DE-588)4041456-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Parabolische Differentialgleichung |0 (DE-588)4173245-5 |2 gnd |9 rswk-swf |
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Record in the Search Index
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|---|---|
| adam_text | Contents
0. Introduction, Auxiliary Propositions and Notations VII
§ 1. Introduction VII
§ 2. Auxiliary Propositions and Notations XII
1. Linear Equations of Parabolic Type 1
§ 1. Analytic Semigroups 1
§ 2. The Evolution Operator U(t,s) 4
§ 3. Fractional Powers 9
9 4. Comments to Chapter I 12
II. Local Solutions of First Order Semilinear
Evolution Equations 18
§ 1. Solutions of Equations with Nonlinearities
Relatively Bounded to A 18
§ 2. A Nonlinear Interpolation Theorem 29
§ 3. Solutions of Equations with Nonlinearities
Relatively Bounded to A p, their Higher
Regularity and the Question of Admissible
Initial Data 37
§ 4. Comments to Chapter II 64
III. Local Solvability of the Equations of Navier Stokes 67
§ 1. Solonnikov s Results for the Instationary
Stokes Equation 67
§ 2. Fractional Powers of the Stokes Operator 80
§ 3. Local Strong Solvability of the Navier Stokes
Equations 99
V
§ 4. Global Existence for Small Data. Extension
of the Previous Results to Arbitrary Dimensions 131
§ 5. Comments to Chapter III 136
IV. Global Existence and Global Regularity for the
Navier Stokes Equations 139
§ 1. Weak Solutions 139
§ 2. Some Additional Regularity Properties for
Weak Solutions in General 149
§ 3. On the Validity of the Energy Inequality and
on the Regularity of the Expression u +Vtt 154
§ 4. On the Uniqueness of Weak Solutions. The
Connection between Weak Solutions and Local
Strong Solutions 166
§ 5. Regularity of Weak Solutions. Leray s
Structure Theorem 190
§ 6. Comments to Chapter IV 224
V. Global Solutions of Abstract Nonlinear Parabolic
Equations and Applications 226
§ 1. Abstract Nonlinear Parabolic Equations 226
§ 2. Applications to Parabolic Systems and to the
Equations of Navier Stokes 235
§ 3. Comments to Chapter V 253
VI. References 255
VI
|
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| author | Wahl, Wolf von 1942- |
| author_GND | (DE-588)122059638 |
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| bvnumber | BV002191219 |
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| dewey-ones | 532 - Fluid mechanics |
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| dewey-search | 532/.0533 |
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| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
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| id | DE-604.BV002191219 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:41:49Z |
| institution | BVB |
| isbn | 3528089156 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001439313 |
| oclc_num | 12958611 |
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| owner_facet | DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-706 DE-634 DE-188 DE-83 DE-11 |
| physical | XXIV, 264 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Vieweg |
| record_format | marc |
| series | Aspects of mathematics E |
| series2 | Aspects of mathematics / E. |
| spelling | Wahl, Wolf von 1942- Verfasser (DE-588)122059638 aut The equations of Navier-Stokes and abstract parabolic equations Braunschweig u.a. Vieweg 1985 XXIV, 264 S. txt rdacontent n rdamedia nc rdacarrier Aspects of mathematics / E. 8. Navier-Stokes, Équations de Problèmes aux valeurs initiales Écoulement visqueux Initial value problems Navier-Stokes equations Viscous flow Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Anfangsrandwertproblem (DE-588)4001990-1 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 s Parabolische Differentialgleichung (DE-588)4173245-5 s DE-604 Anfangsrandwertproblem (DE-588)4001990-1 s Aspects of mathematics E 8. (DE-604)BV000018737 8. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001439313&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wahl, Wolf von 1942- The equations of Navier-Stokes and abstract parabolic equations Aspects of mathematics E Navier-Stokes, Équations de Problèmes aux valeurs initiales Écoulement visqueux Initial value problems Navier-Stokes equations Viscous flow Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd Anfangsrandwertproblem (DE-588)4001990-1 gnd |
| subject_GND | (DE-588)4041456-5 (DE-588)4173245-5 (DE-588)4001990-1 |
| title | The equations of Navier-Stokes and abstract parabolic equations |
| title_auth | The equations of Navier-Stokes and abstract parabolic equations |
| title_exact_search | The equations of Navier-Stokes and abstract parabolic equations |
| title_full | The equations of Navier-Stokes and abstract parabolic equations |
| title_fullStr | The equations of Navier-Stokes and abstract parabolic equations |
| title_full_unstemmed | The equations of Navier-Stokes and abstract parabolic equations |
| title_short | The equations of Navier-Stokes and abstract parabolic equations |
| title_sort | the equations of navier stokes and abstract parabolic equations |
| topic | Navier-Stokes, Équations de Problèmes aux valeurs initiales Écoulement visqueux Initial value problems Navier-Stokes equations Viscous flow Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd Anfangsrandwertproblem (DE-588)4001990-1 gnd |
| topic_facet | Navier-Stokes, Équations de Problèmes aux valeurs initiales Écoulement visqueux Initial value problems Navier-Stokes equations Viscous flow Navier-Stokes-Gleichung Parabolische Differentialgleichung Anfangsrandwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001439313&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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