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所属单位：理学院

发表刊物：ACTA MATHEMATICA SCIENTIA

关键字：Conservation laws hyperbolic system LeRoux type viscosity method compensated compactness

摘要：In this article, we give the existence of global L-infinity bounded entropy solutions to the Cauchy problem of a generalized n x n hyperbolic system of LeRoux type. The main difficulty lies in establishing some compactness estimates of the viscosity solutions because the system has been generalized from 2 x 2 to n x n and more linearly degenerate characteristic fields emerged, and the emergence of singularity in the region {v(1) = 0} is another difficulty. We obtain the existence of the global weak solutions using the compensated compactness method coupled with the construction of entropy-entropy flux and BV estimates on viscous solutions.

ISSN号：0252-9602

是否译文：否

发表时间：2018-05-01

合写作者：刘树君,王泽军

通讯作者：陈芳启,王泽军