Dynamics of viscous compressible fluids:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Oxford Univ. Press
2009
|
| Edition: | reprint. |
| Series: | Oxford lecture series in mathematics and its applications
26 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 212 S. graph. Darst. |
| ISBN: | 9780198528388 |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS
Preface vii
Acknowledgement
xi
1
Physical background
1
1.1
Kinematics, description of motion
1
1.2
Balance laws
3
1.3
Constitutive equations
6
1.4
Barotropic flows
13
1.5
The Navier-Stokes system
15
1.6
Bibliographical notes
17
2
Mathematical preliminaries
20
2.1
Function spaces
20
2.2
Weak convergence
28
2.3
Vector functions of one real variable
37
2.4
Bibliographical notes
39
3
A priori estimates
40
3.1
Estimates based on the maximum principle
42
3.2
Total mass conservation
44
3.3
Energy estimates
44
3.4
Viscous dissipation
46
3.5
A priori estimates
—
summary
51
3.6
Bibliographical notes
52
4
Variational solutions
54
4.1
The equation of continuity
54
4.2
Momentum equation
66
4.3
Thermal energy equation
74
4.4
Bibliographical notes
83
5
Pressure and temperature estimates
86
5.1
Local pressure estimates
86
5.2
Temperature estimates
94
5.3
Bibliographical notes
99
vi
Contents
6
Fundamental ideas
101
6.1
The effective viscous pressure
103
6.2
A result of P.-L. Lions on weak continuity
103
6.3
Weak continuity via compensated compactness
105
6.4
The oscillations defect measure 111
6.5
Renormalized solutions revisited
116
6.6
Propagation of oscillations
118
6.7
Weak stability revisited
127
6.8
Limits of bounded sequences in L1
137
6.9
Bibliographical notes
140
7
Global existence
142
7.1
Statement of the main result
143
7.2
The approximation scheme
147
7.3
The Faedo-Galerkin approximations
149
7.4
Vanishing artificial viscosity
175
7.5
Vanishing artificial pressure
187
7.6
Bibliographical notes
198
Bibliography
201
Index
209
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| institution | BVB |
| isbn | 9780198528388 |
| language | English |
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| physical | X, 212 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series | Oxford lecture series in mathematics and its applications |
| series2 | Oxford lecture series in mathematics and its applications |
| spelling | Feireisl, Eduard 1957- Verfasser (DE-588)137457685 aut Dynamics of viscous compressible fluids Eduard Feireisl reprint. Oxford Oxford Univ. Press 2009 X, 212 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford lecture series in mathematics and its applications 26 Kompressible Strömung (DE-588)4032018-2 gnd rswk-swf Viskose Flüssigkeit (DE-588)4188412-7 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Viskose Flüssigkeit (DE-588)4188412-7 s Kompressible Strömung (DE-588)4032018-2 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Oxford lecture series in mathematics and its applications 26 (DE-604)BV009910017 26 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018628814&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Feireisl, Eduard 1957- Dynamics of viscous compressible fluids Oxford lecture series in mathematics and its applications Kompressible Strömung (DE-588)4032018-2 gnd Viskose Flüssigkeit (DE-588)4188412-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4032018-2 (DE-588)4188412-7 (DE-588)4114528-8 |
| title | Dynamics of viscous compressible fluids |
| title_auth | Dynamics of viscous compressible fluids |
| title_exact_search | Dynamics of viscous compressible fluids |
| title_full | Dynamics of viscous compressible fluids Eduard Feireisl |
| title_fullStr | Dynamics of viscous compressible fluids Eduard Feireisl |
| title_full_unstemmed | Dynamics of viscous compressible fluids Eduard Feireisl |
| title_short | Dynamics of viscous compressible fluids |
| title_sort | dynamics of viscous compressible fluids |
| topic | Kompressible Strömung (DE-588)4032018-2 gnd Viskose Flüssigkeit (DE-588)4188412-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Kompressible Strömung Viskose Flüssigkeit Mathematisches Modell |
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