Hyperbolic conservation laws and the compensated compactness method:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2003
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| Series: | Chapman & Hall CRC monographs and surveys in pure and applied mathematics
128 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 241 S. |
| ISBN: | 1584882387 |
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MARC
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Record in the Search Index
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| adam_text | CHAPMAN & HALL/CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED
MATHEMATICS 128 HYPERBOLIC CONSERVATION LAWS AND THE COMPENSATED
COMPACTNESS METHOD YUNGUANG LU CHAPMAN & HALL/CRC A CRC PRESS COMPANY
BOCA RATON LONDON NEW YORK WASHINGTON, D.C. CONTENTS PREFACE XI 1
PRELIMINARY 1 2 THEORY OF COMPENSATED COMPACTNESS 9 2.1 WEAK CONTINUITY
OF A 2 X 2 DETERMINANT 9 2.2 MEASURE REPRESENTATION THEOREMS 16 2.3
EMBEDDING THEOREMS 20 3 CAUCHY PROBLEM FOR SCALAR EQUATION 31 3.1 L
SOLUTION 31 3.2 U SOLUTION, 1 P OO 37 3.3 RELATED RESULTS 41 4
PRELIMINARIES IN 2 X 2 HYPERBOLIC SYSTEM 43 4.1 BASIC DEFINITIONS 43 4.2
L ESTIMATE OF VISCOSITY SOLUTIONS 45 5 A SYMMETRY SYSTEM 47 5.1
VISCOSITY SOLUTIONS 49 5.2 RELATED RESULTS 52 6 A SYSTEM OF QUADRATIC
FLUX 53 6.1 EXISTENCE OF VISCOSITY SOLUTIONS 56 6.2 ENTROPY-ENTROPY FLUX
PAIRS OF LAX TYPE 57 6.3 COMPACTNESS OF RJT + Q X IN H^ 64 6.4 REDUCTION
OF V 67 6.5 RELATED RESULTS 70 VN VIII CONTENTS 7 LE ROUX SYSTEM 71 7.1
EXISTENCE OF VISCOSITY SOLUTIONS 73 7.2 ENTROPY-ENTROPY FLUX PAIRS OF
LAX TYPE 75 7.3 COMPACTNESS OF R/T + Q X IN H^ 79 7.4 EXISTENCE OF WEAK
SOLUTIONS 81 7.5 RELATED RESULTS 82 8 SYSTEM OF POLYTROPIC GAS DYNAMICS
85 8.1 EXISTENCE OF VISCOSITY SOLUTIONS 89 8.2 WEAK ENTROPIES AND HJ^J.
COMPACTNESS 90 8.3 THE CASE OF 7 3 98 8.4 THE CASE OF 1 7 3 106
8.5 APPLICATION ON EXTENDED RIVER FLOW SYSTEM 114 8.6 RELATED RESULTS
119 9 TWO SPECIAL SYSTEMS OF EULER EQUATIONS 121 9.1 EXISTENCE OF
VISCOSITY SOLUTIONS 125 9.2 LAX ENTROPY FOR P(P) = / OP S 2 E S DS 126
9.3 LAX ENTROPY FOR P(P) = F S 2 (S + D)~ - 3 DS 130 9.4 RELATED
RESULTS 134 10 GENERAL EULER EQUATIONS OF COMPRESSIBLE FLUID FLOW 137
10.1 EXISTENCE OF VISCOSITY SOLUTIONS 140 10.2 LAX ENTROPY AND RELATED
ESTIMATES 141 10.3 EXISTENCE OF WEAK SOLUTIONS 144 10.4 RELATED RESULTS
145 11 EXTENDED SYSTEMS OF ELASTICITY 147 11.1 EXISTENCE OF VISCOSITY
SOLUTIONS 150 11.2 ENTROPY-ENTROPY FLUX PAIRS OF LAX TYPE 152 11.3
EXISTENCE OF WEAK SOLUTIONS 153 11.4 RELATED RESULTS 157 CONTENTS IX 12
U CASE TO SYSTEMS OF ELASTICITY 159 12.1 LIN S PROOF FOR ARTIFICIAL
VISCOSITY 160 12.2 SHEARER S PROOF FOR PHYSICAL VISCOSITY 163 12.3
SYSTEM OF ADIABATIC GAS FLOW 165 12.4 RELATED RESULTS 173 13
PRELIMINARIES IN RELAXATION SINGULARITY 175 14 STIFF RELAXATION AND
DOMINANT DIFFUSION 179 14.1 COMPACTNESS RESULTS 180 14.2 PROOF OF
THEOREM 14.1.1 183 14.3 APPLICATIONS OF THEOREM 14.1.1 186 14.4 PROOF OF
THEOREM 14.1.2 192 14.5 APPLICATIONS OF THEOREM 14.1.2 196 14.6 RELATED
RESULTS 202 15 HYPERBOLIC SYSTEMS WITH STIFF RELAXATION 203 15.1
RELAXATION LIMITS FOR 2 X 2 SYSTEMS 206 15.2 SYSTEM OF EXTENDED TRAFFIC
FLOWS 213 15.3 RELATED RESULTS 215 16 RELAXATION FOR 3 X 3 SYSTEMS 217
16.1, DOMINANT DIFFUSION AND STIFF RELAXATION 219 16.2 A MODEL SYSTEM
FOR REACTING FLOW 222 16.3 RELATED RESULTS 228 BIBLIOGRAPHY 229 INDEX
239
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| id | DE-604.BV014560853 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:03:33Z |
| institution | BVB |
| isbn | 1584882387 |
| language | English |
| lccn | 2002073731 |
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| physical | IX, 241 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Chapman & Hall/CRC |
| record_format | marc |
| series | Chapman & Hall CRC monographs and surveys in pure and applied mathematics |
| series2 | Chapman & Hall CRC monographs and surveys in pure and applied mathematics |
| spelling | Lu, Yunguang Verfasser aut Hyperbolic conservation laws and the compensated compactness method Yunguang Lu Boca Raton [u.a.] Chapman & Hall/CRC 2003 IX, 241 S. txt rdacontent n rdamedia nc rdacarrier Chapman & Hall CRC monographs and surveys in pure and applied mathematics 128 Conservation laws (Mathematics) Differential equations, Hyperbolic Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 s Erhaltungssatz (DE-588)4131214-4 s DE-604 Chapman & Hall CRC monographs and surveys in pure and applied mathematics 128 (DE-604)BV013350872 128 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009899342&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lu, Yunguang Hyperbolic conservation laws and the compensated compactness method Chapman & Hall CRC monographs and surveys in pure and applied mathematics Conservation laws (Mathematics) Differential equations, Hyperbolic Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Erhaltungssatz (DE-588)4131214-4 gnd |
| subject_GND | (DE-588)4131213-2 (DE-588)4131214-4 |
| title | Hyperbolic conservation laws and the compensated compactness method |
| title_auth | Hyperbolic conservation laws and the compensated compactness method |
| title_exact_search | Hyperbolic conservation laws and the compensated compactness method |
| title_full | Hyperbolic conservation laws and the compensated compactness method Yunguang Lu |
| title_fullStr | Hyperbolic conservation laws and the compensated compactness method Yunguang Lu |
| title_full_unstemmed | Hyperbolic conservation laws and the compensated compactness method Yunguang Lu |
| title_short | Hyperbolic conservation laws and the compensated compactness method |
| title_sort | hyperbolic conservation laws and the compensated compactness method |
| topic | Conservation laws (Mathematics) Differential equations, Hyperbolic Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Erhaltungssatz (DE-588)4131214-4 gnd |
| topic_facet | Conservation laws (Mathematics) Differential equations, Hyperbolic Hyperbolische Differentialgleichung Erhaltungssatz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009899342&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT luyunguang hyperbolicconservationlawsandthecompensatedcompactnessmethod |