On the long-time behaviour of solutions to a conservation law with memory

被引：0

作者：

Feireisl, E

Petzeltova, H

机构：

[1] Institute of Mathematics, AVČR, 115 67 Praha 1

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1997年 / 20卷 / 07期

关键词：

D O I：

10.1002/(SICI)1099-1476(19970510)20:7<569::AID-MMA862>3.0.CO;2-M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that any solution of the scalar conservation law (u + k*u)(t) + sigma(u)(x) = 0 starting from spatially periodic initial datum stabilizes to its integral mean as time goes to infinity. No convexity or 'genuinely non-linear' like conditions are assumed concerning sigma. (C) 1997 by B. C. Teubner stuttgart-John Wiley & Sons Ltd.

引用

页码：569 / 581

页数：13

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