NONSTRICTLY HYPERBOLIC CONSERVATION-LAWS

被引：2
|
作者：
KAN, PT
机构：
[1] Dept. of Mathematics, Center for Mathematical Sciences University of Wisconsin at Madison, Madison
来源：
APPLIED MATHEMATICS LETTERS | 1991年 / 4卷 / 04期
关键词：
D O I：
10.1016/0893-9659(91)90061-Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Global existence of a 2 x 2 system of nonstrictly hyperbolic conservation laws is established for data in L-infinity. This system is a particular case in a canonical class of conservation laws with an isolated umbilic point (a point in the state space where strict hyperbolicity fails). The proof uses compensated compactness to obtain the convergence of the viscosity method and involves a detailed analysis of the entropy functions which can become singular near the umbilic point.
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页码：83 / 87
页数：5
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