Maximal dissipation in equations of evolution

被引：20

作者：

Dafermos, C. M. ^{[1
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 01期

关键词：

Hunter-Saxton equation; Hyperbolic conservation laws; Entropy; Riemann problem; HUNTER-SAXTON EQUATION; HYPERBOLIC CONSERVATION-LAWS; RATE ADMISSIBILITY CRITERION; VARIATIONAL WAVE-EQUATION; WEAK SOLUTIONS; EXISTENCE; FANS;

D O I：

10.1016/j.jde.2011.08.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The subject of this paper is evolutionary equations, such as the Hunter-Saxton equation or hyperbolic conservation laws, with the property that the initial value problem admits a multitude of solutions along which a certain "energy" functional decays at different rates. The aim is to examine whether solutions that dissipate the energy at maximal rate command special status. (C) 2011 Published by Elsevier Inc.

引用

页码：567 / 587

页数：21

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