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OALib Journal期刊
ISSN: 2333-9721
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CONVERGENCE OF THE VISCOSITY METHOD FOR A NONSTRICTLY HYPERBOLIC SYSTEM
一个非严格双曲型方程组粘性逼近解的收敛性

Keywords: Entropy,invariant regions,quasi-convex,Riemann invariant,theory of compensated compactness,Young measure
熵,不变区域,拟凸,Riemann不变量,补偿紧致理论,Young测度

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Abstract:

A convergence theorem for the viscosity method applied to the following nonstrictly hyperbolic system is established. Convergence of a subsequence in the strong topology is proved without uniform estimates on the derivatives, by using the theory of compensated compactness and an analysis of progressing entrory waves.

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