EXISTENCE OF GLOBAL L-infinity SOLUTIONS TO A GENERALIZED n x n HYPERBOLIC SYSTEM OF LEROUX TYPE

Affiliation of Author(s):理学院

Journal:ACTA MATHEMATICA SCIENTIA

Key Words:Conservation laws hyperbolic system LeRoux type viscosity method compensated compactness

Abstract: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 No.:0252-9602

Translation or Not:no

Date of Publication:2018-05-01

Co-author:刘树君,wzj

Correspondence Author:cfq,wzj

Date of Publication:2018-05-01