Compensated compactness and general systems of conservation laws
Open Access
- 1 January 1985
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 292 (2) , 383-420
- https://doi.org/10.1090/s0002-9947-1985-0808729-4
Abstract
We outline a general program and present some new results dealing with oscillations in weakly convergent solution sequences to systems of conservation laws. The analysis employs the Young measure and the Tartar-Murat theory of compensated compactness and deals with systems of hyperbolic and elliptic type.Keywords
This publication has 14 references indexed in Scilit:
- Convergence of the viscosity method for isentropic gas dynamicsCommunications in Mathematical Physics, 1983
- Convergence of approximate solutions to conservation lawsArchive for Rational Mechanics and Analysis, 1983
- The Compensated Compactness Method Applied to Systems of Conservation LawsPublished by Springer Nature ,1983
- Null Lagrangians, weak continuity, and variational problems of arbitrary orderJournal of Functional Analysis, 1981
- On the calculus of variations and sequentially weakly continuous mapsPublished by Springer Nature ,1976
- Solutions with shocks: An example of an L1‐contractive semigroupCommunications on Pure and Applied Mathematics, 1971
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLESMathematics of the USSR-Sbornik, 1970
- Decay of solutions of systems of nonlinear hyperbolic conservation lawsMemoirs of the American Mathematical Society, 1970
- THE SPACES $ BV$ AND QUASILINEAR EQUATIONSMathematics of the USSR-Sbornik, 1967
- Hyperbolic systems of conservation laws IICommunications on Pure and Applied Mathematics, 1957