Three-scale singular limits of evolutionary PDEs
Three-scale singular limits of evolutionary PDEs
复制标题
演化偏微分方程的三尺度奇异极限
DOI：
10.1007/s00205-018-1233-5
复制
发表时间：
2018
影响因子：
2.5
通讯作者：
Steve Schochet
中科院分区：
文献类型：
--
作者：
Bin Cheng;Qiangchang Ju;Steve Schochet
Singular limits of a class of evolutionary systems of partial differential equations having two small parameters and hence three time scales are considered. Under appropriate conditions solutions are shown to exist and remain uniformly bounded for a fixed time as the two parameters tend to zero at different rates. A simple example shows the necessity of those conditions in order for uniform bounds to hold. Under further conditions the solutions of the original system tend to solutions of a limit equation as the parameters tend to zero.
