HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS WITH A STRICT RIEMANN INVARIANT

Authors
SEVER M
Citation
M. Sever, HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS WITH A STRICT RIEMANN INVARIANT, Journal of differential equations, 122(2), 1995, pp. 239-266
Citations number
11
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of differential equations → ACNP
ISSN journal
00220396
Volume
122
Issue
2
Year of publication
1995
Pages
239 - 266
Database
ISI
SICI code
0022-0396(1995)122:2<239:HSOCWA>2.0.ZU;2-L
Abstract
Nonlinear, hyperbolic systems of conservation laws such as the Euler e quations of fluid dynamics admit a strict Riemann invariant, e.g. the physical entropy. Here we discuss the structure of such systems, empha sizing the effects of changes of variables, the existence of equivalen t symmetric systems, and entropy conditions for discontinuities in the form of entropy inequalities. (C) 1995 Academic Press, Inc.