Hyperbolic Systems of Conservation Laws
Hyperbolic Systems of Conservation Laws
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DOI：
10.5209/rev_rema.1999.v12.n1.17204
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发表时间：
1999
影响因子：
0.8
通讯作者：
A. Bressan
中科院分区：
文献类型：
--
作者：
A. Bressan
本文是作者于1998年10月在马德里孔普卢顿大学应邀演讲时撰写的一篇综述论文。它的目的是提供一个帐户的一些最新进展，在数学理论的双曲系统的守恒律在一个空间维。在简要回顾了基本概念之后，我们详细描述了波前跟踪近似的方法，并给出了熵弱解的唯一性和稳定性的一些最新结果。
This is a survey paper, written in the occasion of an invited talk given by the author at the Universidad Complutense in Madrid, October 1998. Its purpose is to provide an account of some recent advances in the mathematical theory of hyperbolic systems of conservation laws in one space dimension. After a brief review of basic concepts, we describe in detail the method of wave-front tracking approximation and present some of the latest results on uniqueness and stability of entropy weak solutions.