Mathematical topics in fluid mechanics: 1 Incompressible models
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Clarendon Press
1996
|
| Schriftenreihe: | Oxford lecture series in mathematics and its applications
3 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XIV, 237 S. |
| ISBN: | 0198514875 9780198514879 9780199679218 |
Internformat
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| 245 | 1 | 0 | |a Mathematical topics in fluid mechanics |n 1 |p Incompressible models |c Pierre-Louis Lions |
| 264 | 1 | |a Oxford |b Clarendon Press |c 1996 | |
| 300 | |a XIV, 237 S. | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
| _version_ | 1807409995195613184 |
|---|---|
| adam_text |
CONTENTS
1.
Presentation of the models
1
1.1.
Fundamental equations for
newtonian
fluids
1
1.2.
Approximated and simplified models
9
Part I: Incompressible Models
2.
Density-dependent Navier-Stokes equations
19
2.1.
Existence results
19
2.2.
Regularity results and open problems
31
2.3.
A priori estimates and compactness results
35
2.4.
Existence proofs
64
2.5.
Uniqueness: weak
=
strong
75
3.
Navier-Stokes equations
79
3.1.
A brief review of known results
79
3.2.
Refined regularity of weak solutions via Hardy spaces
92
3.3.
Second derivative estimates
98
3.4.
Temperature and the Rayleigh-Benard equations
110
4.
Euler
equations and other incompressible models
124
4.1.
A brief review of known results
125
4.2.
Remarks on
Euler
equations in two dimensions
136
4.3.
Estimates in three dimensions?
150
4.4.
Dissipative solutions
153
4.5.
Density-dependent
Euler
equations
158
4.6.
Hydrostatic approximations
160
Appendix A. Truncation of divergence-free vector fields in
Sobolev spaces
165
Appendix B. Two facts on
Ď^QR2)
173
Appendix C. Compactness in time with values in weak
topologies
177
xii Contents
Appendix
D.
Weak L1 estimates for solutions of the heat
equation
178
Appendix
E. A
short proof of the existence and uniqueness of
renormalized solutions for parabolic equations
183
Bibliography of Volumes
1
and
2 196
Index
233 |
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| author | Lions, Pierre-Louis 1956- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
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| dewey-search | 532/.0535/01515353 |
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| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-08-15T00:08:11Z |
| institution | BVB |
| isbn | 0198514875 9780198514879 9780199679218 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007251197 |
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| physical | XIV, 237 S. |
| publishDate | 1996 |
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| publisher | Clarendon Press |
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| series | Oxford lecture series in mathematics and its applications |
| series2 | Oxford lecture series in mathematics and its applications Oxford science publications |
| spelling | Lions, Pierre-Louis 1956- Verfasser (DE-588)1038560152 aut Mathematical topics in fluid mechanics 1 Incompressible models Pierre-Louis Lions Oxford Clarendon Press 1996 XIV, 237 S. txt rdacontent n rdamedia nc rdacarrier Oxford lecture series in mathematics and its applications 3 Oxford lecture series in mathematics and its applications ... Oxford science publications Hier auch später erschienene, unveränderte Nachdrucke Fluid mechanics (DE-604)BV010848604 1 Oxford lecture series in mathematics and its applications 3 (DE-604)BV009910017 3 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007251197&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lions, Pierre-Louis 1956- Mathematical topics in fluid mechanics Oxford lecture series in mathematics and its applications Fluid mechanics |
| title | Mathematical topics in fluid mechanics |
| title_auth | Mathematical topics in fluid mechanics |
| title_exact_search | Mathematical topics in fluid mechanics |
| title_full | Mathematical topics in fluid mechanics 1 Incompressible models Pierre-Louis Lions |
| title_fullStr | Mathematical topics in fluid mechanics 1 Incompressible models Pierre-Louis Lions |
| title_full_unstemmed | Mathematical topics in fluid mechanics 1 Incompressible models Pierre-Louis Lions |
| title_short | Mathematical topics in fluid mechanics |
| title_sort | mathematical topics in fluid mechanics incompressible models |
| topic | Fluid mechanics |
| topic_facet | Fluid mechanics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007251197&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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