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Hyperbolic systems of conservation laws with some special invariance properties

โœ Scribed by Michael Sever


Book ID
112893561
Publisher
The Hebrew University Magnes Press
Year
1991
Tongue
English
Weight
948 KB
Volume
75
Category
Article
ISSN
0021-2172

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Hyperbolic Systems of Conservation Laws
โœ M. Sever ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 807 KB

Nonlinear, hyperbolic systems of conservation laws such as the Euler equations of fluid dynamics admit a strict Riemann invariant, e.g. the physical entropy. Here we discuss the structure of such systems, emphasizing the effects of changes of variables, the existence of equivalent symmetric systems,

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โœ Arnaud Heibig ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Springer ๐ŸŒ English โš– 1018 KB

We study the Cauchy problem for systems of conservation laws which belong to the Temple class. The compensated-compactness theory is used to prove existence of solutions. Some uniqueness results are established by means of Holmgren's principle.