EXISTENCE AND STABILITY OF ENTROPY SOLUTIONS FOR THE HYPERBOLIC SYSTEMS OF ISENTROPIC GAS-DYNAMICS IN EULERIAN ADD LAGRANGIAN COORDINATES

Authors
LIONS PL PERTHAME B SOUGANIDIS PE
Citation
Pl. Lions et al., EXISTENCE AND STABILITY OF ENTROPY SOLUTIONS FOR THE HYPERBOLIC SYSTEMS OF ISENTROPIC GAS-DYNAMICS IN EULERIAN ADD LAGRANGIAN COORDINATES, Communications on pure and applied mathematics, 49(6), 1996, pp. 599-638
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Communications on pure and applied mathematics → ACNP
ISSN journal
00103640
Volume
49
Issue
6
Year of publication
1996
Pages
599 - 638
Database
ISI
SICI code
0010-3640(1996)49:6<599:EASOES>2.0.ZU;2-5
Abstract
We prove the existence and compactness (stability) of entropy solution s for the hyperbolic systems of conservation laws corresponding to the isentropic gas dynamics, where the pressure and density are related b y a gamma-law, for any gamma > 1. Our results considerably extend and simplify the program initiated by DiPerna and provide a complete exist ence proof. Our methods are based on the compensated compactness and t he kinetic formulation of systems of conservation laws. (C) 1996 John Wiley & Sons, Inc.