Compensated compactness and general systems of conservation laws

DiPerna, Ronald J.

doi:10.1090/S0002-9947-1985-0808729-4

Compensated compactness and general systems of conservation laws
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Trans. Amer. Math. Soc. 292 (1985), 383-420 Request permission

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.

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Solutions oscillantes des equations de Carleman

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and quasilinear equations

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First order quasilinear equations in several independent variables

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Multiple integrals in the calculus of variations