Fundamental directions in mathematical fluid mechanics:
Saved in:
| Other Authors: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel
Birkhäuser
2000
|
| Series: | Advances in mathematical fluid mechanics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben. - Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | VIII, 293 Seiten Diagramme |
| ISBN: | 3764364149 9783034895613 |
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| 245 | 1 | 0 | |a Fundamental directions in mathematical fluid mechanics |c Giovanni P. Galdi, John G. Heywood, Rolf Rannacher, editors |
| 264 | 1 | |a Basel |b Birkhäuser |c 2000 | |
| 300 | |a VIII, 293 Seiten |b Diagramme | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a Advances in mathematical fluid mechanics | |
| 500 | |a Literaturangaben. - Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 7 | |a Fluides, Mécanique des |2 ram | |
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Record in the Search Index
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Contents
Preface vii
Giovanni P. Galdi
An Introduction to the Navier Stokes Initial Boundary Value Problem
0 Introduction 1
1 Some considerations on the structure of the
Navier Stokes equations 3
2 The Leray Hopf weak solutions and related properties 5
3 Existence of weak solutions 17
4 The energy equality and uniqueness of weak solutions 22
5 Regularity of weak solutions 33
6 More regular solutions and the "theoreme de structure" 45
7 Existence in the class 17(0, T; LS{Q)), 2/r + n/s = 1,
and further regularity properties 51
References 65
P. Gervasio, A. Quarteroni and F. Saleri
Spectral Approximation of Navier Stokes Equations
Introduction 71
1 Mathematical foundation and different paradigms
of spectral methods 73
2 Stokes and Navier Stokes equations 94
3 Time differentiation of Navier Stokes equations 98
4 Domain decomposition methods 103
5 Numerical results 115
References 122
John G. Heywood and Wayne Nagata
Simple Proofs of Bifurcation Theorems
1 Introduction 129
2 Bifurcation of equilibrium solutions 131
3 Bifurcation of periodic solutions 134
4 Generalizations 139
Appendix A: Proof of Proposition 3.1 144
References 147
vi Contents
John G. Heywood and Mariarosaria Padula
On The Steady Transport Equation
1 Introduction 149
2 Existence in W1'2 n Lq for the scalar transport equation 151
3 Existence in W1'2 D Lq for the vector transport equation 157
4 Estimates for ||o ||22 , ||Act|| and ||Acr||_12 162
5 Existence in Wm 2 (n), for any fixed m .' 164
6 Integration along characteristics 166
References 169
John G. Heywood and Mariarosaria Padula
On the Existence and Uniqueness Theory for
the Steady Compressible Viscous Plow
1 Introduction 171
2 Poisson Stokes equations for isothermal flow 173
3 Main result 173
4 Iterative scheme 174
5 Regularity lemmas 176
6 Bounds for the iterates 178
7 Convergence of the iterates 180
8 Uniqueness in the ball of existence 183
9 Uniqueness reconsidered directly 186
References 188
Rolf Rannacher
Finite Element Methods for the Incompressible Navier Stokes Equations
1 Introduction 191
2 Models of viscous flow 198
3 Spatial discretization by finite elements 207
4 Time discretization and linearization 223
5 Solution of the algebraic systems 233
6 A review of theoretical analysis 242
7 Error control and mesh adaptation 257
8 Extension to weakly compressible flows 278
References 287 |
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| spelling | Fundamental directions in mathematical fluid mechanics Giovanni P. Galdi, John G. Heywood, Rolf Rannacher, editors Basel Birkhäuser 2000 VIII, 293 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Advances in mathematical fluid mechanics Literaturangaben. - Hier auch später erschienene, unveränderte Nachdrucke Fluides, Mécanique des ram Navier-Stokes, Équations de ram Fluid mechanics Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Strömungsmechanik (DE-588)4077970-1 s Navier-Stokes-Gleichung (DE-588)4041456-5 s DE-604 Galdi, Giovanni P. 1947- (DE-588)11089152X edt Erscheint auch als Online-Ausgabe 978-3-0348-8424-2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009054200&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fundamental directions in mathematical fluid mechanics Fluides, Mécanique des ram Navier-Stokes, Équations de ram Fluid mechanics Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4041456-5 (DE-588)4077970-1 (DE-588)4143413-4 |
| title | Fundamental directions in mathematical fluid mechanics |
| title_auth | Fundamental directions in mathematical fluid mechanics |
| title_exact_search | Fundamental directions in mathematical fluid mechanics |
| title_full | Fundamental directions in mathematical fluid mechanics Giovanni P. Galdi, John G. Heywood, Rolf Rannacher, editors |
| title_fullStr | Fundamental directions in mathematical fluid mechanics Giovanni P. Galdi, John G. Heywood, Rolf Rannacher, editors |
| title_full_unstemmed | Fundamental directions in mathematical fluid mechanics Giovanni P. Galdi, John G. Heywood, Rolf Rannacher, editors |
| title_short | Fundamental directions in mathematical fluid mechanics |
| title_sort | fundamental directions in mathematical fluid mechanics |
| topic | Fluides, Mécanique des ram Navier-Stokes, Équations de ram Fluid mechanics Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Fluides, Mécanique des Navier-Stokes, Équations de Fluid mechanics Navier-Stokes-Gleichung Strömungsmechanik Aufsatzsammlung |
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