Weighted energy methods in fluid dynamics and elasticity:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1985
|
| Series: | Lecture notes in mathematics
1134 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 126 S. |
| ISBN: | 3540156453 0387156453 |
Staff View
MARC
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| 100 | 1 | |a Galdi, Giovanni P. |d 1947- |e Verfasser |0 (DE-588)11089152X |4 aut | |
| 245 | 1 | 0 | |a Weighted energy methods in fluid dynamics and elasticity |c Giovanni P. Galdi ; Salvatore Rionero |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1985 | |
| 300 | |a VII, 126 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1134 | |
| 650 | 7 | |a Elasticiteit |2 gtt | |
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Record in the Search Index
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TABLE OF CONTENTS
PREFACE iii
PART ONE
WEIGHTED ENERGY METHODS IN FLUID DYNAMICS
Chapter
I. INTRODUCDORY TOPICS ON STABILITY OF VISCOUS FLOWS V
1.1 Statement of the Stability Problem 1
1.2 The Linear Stability Method 3
1.3 Energy Methods for Nonlinear Stability in Bounded Domains . 7
References to Chapter I 13
II. ENERGY METHODS IN UNBOUNDED DOMAINS: THE CASE OF A HALF SPACE . 14
2.1 Preliminary Considerations 14
2.2 Weighted Poincare' Inequality 15
2.3 The Energy Relations in a Half Space 17
2.4 Universal Stability 20
2.5 Asymptotic Stability 24
2.6 VariatLonal Formulation 29
2.7 Applications " 32
References to Chapter II 35
III. ENERGY METHODS IN UNBOUNDED DOMAINS: THE CASE OF AN EXTERIOR DOMAIN. . 36
3.1 Weighted Poincare1 Inequalities 36
3.2 The Energy Relations 39
3.3 Universal Stability 40
3.4 Asymptotic Stability 41
3.5 Variational Methods 45
3.6 On the Applicability of the Stability Criteria 48
References to Chapter III 48
Chapter
IV. SOME PROPERTIES OF STEADY SOLUTIONS IN EXTERIOR DOMAINS 49
4.1 Preliminaries 49
4.2 D solutlons and Their Properties 49
4.3 Further Properties of D solutLons for Arbitrary Reynolds
Nmbers 51
References to Chapter IV 54
V. EXCHANGE OF STABILITIES, SYMMETRY AND THE CONNECTION BETOEEN
LINEAR AND NONLINEAR STABILITY 55
5.1 Synmetry, Linear and Nonlinear Stability 55
5.2 Applications of Theorem 5.3 59
5.3 Nonsynmetric Operators and Stability 63
5.4 Stability of Couette Flow Between Coaxial Cylinders Within
the Mean Radius Approximation in the Narrow Gap Limit 68
5.5 Energy Stability in Bio convection 71
5.6 Nonlinear Stability of a Diffusion Equation 73
References to Chapter V 77
VI. SKEW SYMMETRIC OPERATORS AND NONLINEAR STABILIZATION:
THE HYDROMAGNETIC BENARD PROBLEM 78
6.1 Skew symnetric Operators and Stabilization 78
6.2 Statement of the Problem 79
6.3 Generalized Energy Theory for the Linearized Problem 81
6.4 Stability of the Nonlinear Problem 87
References to Chapter VI 91
PART TWO
WEIGHTED ENERGY METHODS IN ELASTICITY
Chapter
VII. WEIGHTED ENERGY METHODS IN ELASTOSTATICS ON UNBOUNDED DOMAINS 92
7.1 Uniqueness in Linear Elastostatics: Statement of the Problem . . 92
7.2 Uniqueness and Continuous Dependence in Linear Elastostatics . 95
7.3 A Saint Venant Principle for the Semi infinite Elastic
Cylinder: Preliminaries 98
I Chapter
7.4. Asynptotic Behavior in the Nonlinear Elastic Beam 102
References to Chapter VII 107
VIII. WEIGHTED ENERGY METHODS IN LINEAR ELASTODYNAMICS IN
UNBOUNDED DOMAINS 108
8.1. Uniqueness and Continuous Dependence in Linear Electrodynamics
with Definiteness Assumptions on the Elasticities 108
8.2. Continuous Data Dependence without Definiteness Conditions
on the Elasticities 112
References to Chapter VIII 119 |
| any_adam_object | 1 |
| author | Galdi, Giovanni P. 1947- Rionero, Salvatore |
| author_GND | (DE-588)11089152X |
| author_facet | Galdi, Giovanni P. 1947- Rionero, Salvatore |
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| author_sort | Galdi, Giovanni P. 1947- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Physik Mathematik |
| format | Book |
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| indexdate | 2024-07-20T04:38:27Z |
| institution | BVB |
| isbn | 3540156453 0387156453 |
| language | English |
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| physical | VII, 126 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Galdi, Giovanni P. 1947- Verfasser (DE-588)11089152X aut Weighted energy methods in fluid dynamics and elasticity Giovanni P. Galdi ; Salvatore Rionero Berlin [u.a.] Springer 1985 VII, 126 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1134 Elasticiteit gtt Fluides, Dynamique des Vloeistofmechanica gtt Élasticité Équations différentielles - Solutions numériques Differential equations Numerical solutions Elasticity Fluid dynamics Energiemethode (DE-588)4152223-0 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Gewichtete Energiemethode (DE-588)4318726-2 gnd rswk-swf Hydrodynamik (DE-588)4026302-2 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Hydrodynamik (DE-588)4026302-2 s Elastizitätstheorie (DE-588)4123124-7 s DE-604 Stabilität (DE-588)4056693-6 s Energiemethode (DE-588)4152223-0 s Gewichtete Energiemethode (DE-588)4318726-2 s Strömungsmechanik (DE-588)4077970-1 s Rionero, Salvatore Verfasser aut Lecture notes in mathematics 1134 (DE-604)BV000676446 1134 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000281049&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Galdi, Giovanni P. 1947- Rionero, Salvatore Weighted energy methods in fluid dynamics and elasticity Lecture notes in mathematics Elasticiteit gtt Fluides, Dynamique des Vloeistofmechanica gtt Élasticité Équations différentielles - Solutions numériques Differential equations Numerical solutions Elasticity Fluid dynamics Energiemethode (DE-588)4152223-0 gnd Stabilität (DE-588)4056693-6 gnd Gewichtete Energiemethode (DE-588)4318726-2 gnd Hydrodynamik (DE-588)4026302-2 gnd Elastizitätstheorie (DE-588)4123124-7 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4152223-0 (DE-588)4056693-6 (DE-588)4318726-2 (DE-588)4026302-2 (DE-588)4123124-7 (DE-588)4077970-1 |
| title | Weighted energy methods in fluid dynamics and elasticity |
| title_auth | Weighted energy methods in fluid dynamics and elasticity |
| title_exact_search | Weighted energy methods in fluid dynamics and elasticity |
| title_full | Weighted energy methods in fluid dynamics and elasticity Giovanni P. Galdi ; Salvatore Rionero |
| title_fullStr | Weighted energy methods in fluid dynamics and elasticity Giovanni P. Galdi ; Salvatore Rionero |
| title_full_unstemmed | Weighted energy methods in fluid dynamics and elasticity Giovanni P. Galdi ; Salvatore Rionero |
| title_short | Weighted energy methods in fluid dynamics and elasticity |
| title_sort | weighted energy methods in fluid dynamics and elasticity |
| topic | Elasticiteit gtt Fluides, Dynamique des Vloeistofmechanica gtt Élasticité Équations différentielles - Solutions numériques Differential equations Numerical solutions Elasticity Fluid dynamics Energiemethode (DE-588)4152223-0 gnd Stabilität (DE-588)4056693-6 gnd Gewichtete Energiemethode (DE-588)4318726-2 gnd Hydrodynamik (DE-588)4026302-2 gnd Elastizitätstheorie (DE-588)4123124-7 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Elasticiteit Fluides, Dynamique des Vloeistofmechanica Élasticité Équations différentielles - Solutions numériques Differential equations Numerical solutions Elasticity Fluid dynamics Energiemethode Stabilität Gewichtete Energiemethode Hydrodynamik Elastizitätstheorie Strömungsmechanik |
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