The Burgers equation with periodic boundary conditions on an interval

被引：0
|
作者：
A. V. Samokhin
机构：
[1] Moscow State Technical University of Civil Aviation,
来源：
Theoretical and Mathematical Physics | 2016年 / 188卷
关键词：
sawtooth wave; invariant solution; initial–boundary value problem; asymptotic behavior;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the asymptotic profile of the solutions of the Burgers equation on a finite interval with a periodic perturbation on the boundary. The equation describes a dissipative medium, and the initial constant profile therefore passes into a wave with a decreasing amplitude. In the low-viscosity case, the asymptotic profile looks like a sawtooth wave (with periodic breaks of the derivative), similar to the known Fay solution on the half-line, but it has some new properties.
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页码：1371 / 1376
页数：5
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