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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Compensated compactness and general systems of conservation laws


Author: Ronald J. DiPerna
Journal: Trans. Amer. Math. Soc. 292 (1985), 383-420
MSC: Primary 35L65; Secondary 76L05
MathSciNet review: 808729
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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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DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0808729-4
PII: S 0002-9947(1985)0808729-4
Article copyright: © Copyright 1985 American Mathematical Society