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An application of compensated compactness on quasilinear hyperbolic systems

โœ Scribed by Fagui Liu


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1996
Tongue
English
Weight
388 KB
Volume
12
Category
Article
ISSN
0168-9673

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On the breakdown of solutions to Nร—N qua
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We shall be concerned with the development of singularities of the C 1 -solutions of the quasilinear N ร—N hyperbolic system Ut +A(U )Ux =0 in one space dimension. Generalizing a nonlinearity condition introduced by MacCamy and Mizel (Arch. Rat. Mech. Anal. 25 (1967) 299-320), in this paper we prove