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
收藏
页码：569 / 581
页数：13
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