Stability in the L1 norm via a linearization method for nonlinear hyperbolic systems

被引：0
作者：
LeFloch, Philippe G. [1 ]
机构：
[1] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris, France
来源：
HYPERBOLIC PROBLEMS: THEORY, NUMERICS AND APPLICATIONS, PART 1 | 2009年 / 67卷
关键词：
Hyperbolic system; entropy condition; L1; stability; Haar method; compressive; undercompressive; SCALAR CONSERVATION-LAWS; WAVE-FRONT TRACKING; DELTA-SHOCK-WAVES; EXISTENCE THEORY; RIEMANN PROBLEM; WEAK SOLUTIONS; CONTINUOUS DEPENDENCE; NONCONSERVATIVE FORM; CONVERGENCE; UNIQUENESS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss the existence and uniqueness of discontinuous solutions to adjoint problems associated with nonlinear hyperbolic systems of conservation laws. By generalizing the Haar method for Glimm-type approximations to hyperbolic systems, we establish that entropy solutions depend continuously upon their initial data in the natural L-1 norm.
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收藏
页码：299 / 313
页数：15
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