Weakly coupled systems of hyperbolic conservation laws:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
1996
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 136 S. |
Internformat
MARC
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| 100 | 1 | |a Rohde, Christian |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Weakly coupled systems of hyperbolic conservation laws |c Christian Rohde |
| 264 | 1 | |c 1996 | |
| 300 | |a 136 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Freiburg, Univ., Diss., 1996 | ||
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| 650 | 0 | 7 | |a Erhaltungssatz |0 (DE-588)4131214-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Hyperbolische Differentialgleichung |0 (DE-588)4131213-2 |D s |
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CONTENTS
1 INTRODUCTION 9
2 APPLICATIONS 11
2.1 PROBLEMS FROM COMBUSTION THEORY. 11
2.2 AN EXAMPLE FROM TECHNICAL COMBUSTION. 13
2.3 TRANSPORT AND ADSORPTION IN POROUS MEDIA. 15
2.4 MODELS FROM BIOMATHEMATICS. 16
2.5 SOME MORE EXAMPLES . 17
3 THE INITIAL VALUE PROBLEM FOR WEAKLY COUPLED HYPERBOLIC SYSTEMS 19
3.1 THE GENERAL WEAKLY COUPLED HYPERBOLIC CAUCHY PROBLEM. 19
3.2 TEST PROBLEMS .~T. 21
4 CLASSICAL SOLUTIONS OF WEAKLY COUPLED PARABOLIC CAUCHY PROBLEMS 24
4.1 THE WEAKLY COUPLED VISCOUS CAUCHY PROBLEM. 24
4.2 A BASIC EXISTENCE AND UNIQUENESS RESULT. 27
4.3 THE GENERAL EXISTENCE AND UNIQUENESS RESULT . 36
4.4 T-LNDEPENDENT, ESTIMATES AND PRECOMPACTNESS IN L1 . 38
5 WEAK SOLUTIONS OF WEAKLY COUPLED HYPERBOLIC CAUCHY PROBLEMS 45
5.1 WEAK SOLUTIONS, ENTROPY SOLUTIONS AND KRUZKOV SOLUTIONS. 45
5.2 UNIQUENESS OF ENTROPY SOLUTIONS AND FINITE DOMAIN OF DEPENDENCE . 47
5.3 EXISTENCE THEOREMS FOR WEAKLY COUPLED HYPERBOLIC CAUCHY PROBLEMS .
54
5.4 APPLICATIONS OF THE EXISTENCE THEOREM . 58
5.4.1 WEAKLY COUPLED HYPERBOLIC CAUCHY PROBLEMS: LIMITED GLOBAL GROWTH .
. . 58
5.4.2 THE COMBUSTION TEST PROBLEM. 63
5.4.3 THE ADSORPTION TEST PROBLEM . 66
6 MEASURE VALUED SOLUTIONS OF WEAKLY COUPLED HYPERBOLIC CAUCHY PROBLEMS
69
6.1 MEASURE VALUED ENTROPY AND KRUZKOV SOLUTIONS . 69
6.2 CONVERGENCE OF APPROXIMATE SOLUTIONS. 71
6.3 THE AVERAGED CONTRACTION PROPERTY. 73
6.4 REDUCTION OF THE YOUNG MEASURE. 83
5
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/951128558
7 FINITE VOLUME SCHEMES FOR WEAKLY COUPLED HYPERBOLIC SYSTEMS 86
7.1 SURVEY OF NUMERICAL APPROACHES
TO WEAKLY COUPLED SYSTEMS. 86
7.2 THE FINITE VOLUME METHOD: DEFINITIONS AND ASSUMPTIONS. 87
7.3 CONVERGENCE OF THE FINITE VOLUME SCHEME. 95
7.3.1 MEASURE VALUED ENTROPY SOLUTIONS. 96
7.3.2 THE INITIAL CONDITION .112
7.4 APPLICATIONS OF THE CONVERGENCE THEOREMS .116
7.4.1 WEAKLY COUPLED HYPERBOLIC. CAUCHY PROBLEMS: GLOBALLY LIMITED
GROWTH . . 117
7.4.2 THE COMBUSTION TEST PROBLEM.119
7.4.3 THE ADSORPTION TEST PROBLEM.121
8 CONCLUDING NOTES 124
A APPENDIX 125
6 |
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| indexdate | 2024-10-09T16:09:25Z |
| institution | BVB |
| language | English |
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| spelling | Rohde, Christian Verfasser aut Weakly coupled systems of hyperbolic conservation laws Christian Rohde 1996 136 S. txt rdacontent n rdamedia nc rdacarrier Freiburg, Univ., Diss., 1996 Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Erhaltungssatz (DE-588)4131214-4 s Hyperbolische Differentialgleichung (DE-588)4131213-2 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007811415&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rohde, Christian Weakly coupled systems of hyperbolic conservation laws Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Erhaltungssatz (DE-588)4131214-4 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4131213-2 (DE-588)4131214-4 (DE-588)4128130-5 (DE-588)4113937-9 |
| title | Weakly coupled systems of hyperbolic conservation laws |
| title_auth | Weakly coupled systems of hyperbolic conservation laws |
| title_exact_search | Weakly coupled systems of hyperbolic conservation laws |
| title_full | Weakly coupled systems of hyperbolic conservation laws Christian Rohde |
| title_fullStr | Weakly coupled systems of hyperbolic conservation laws Christian Rohde |
| title_full_unstemmed | Weakly coupled systems of hyperbolic conservation laws Christian Rohde |
| title_short | Weakly coupled systems of hyperbolic conservation laws |
| title_sort | weakly coupled systems of hyperbolic conservation laws |
| topic | Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Erhaltungssatz (DE-588)4131214-4 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Hyperbolische Differentialgleichung Erhaltungssatz Numerisches Verfahren Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007811415&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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