ON A CONDITION OF STRONG PRECOMPACTNESS AND THE DECAY OF PERIODIC ENTROPY SOLUTIONS TO SCALAR CONSERVATION LAWS

被引：0

作者：

Panov, Evgeny Yu. ^{[1
,2
]}

机构：

[1] Novgorod State Univ, 41 B Sankt Peterburgskaya, Veliky Novgorod 173003, Russia

[2] St Petersburg State Univ, Univ Skaia Nab 7-9, St Petersburg 199034, Russia

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2016年 / 11卷 / 02期

关键词：

H-measures; localization principles; conservation laws; periodic entropy solutions; decay property; MEASURE-VALUED SOLUTIONS; QUASI-LINEAR EQUATION; STRONG TRACES; EXISTENCE;

D O I：

10.3934/nhm.2016.11.349

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a new sufficient non-degeneracy condition for the strong precompactness of bounded sequences satisfying the nonlinear first-order differential constraints. This result is applied to establish the decay property for periodic entropy solutions to multidimensional scalar conservation laws.

引用

页码：349 / 367

页数：19

共 25 条

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