On the regularity of the solution map of the incompressible Euler equation

被引：11
|
作者：
Inci, H. [1 ]
机构：
[1] ZHAW, Sch Engn, CH-8400 Winterthur, Switzerland
来源：
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 12卷 / 02期
关键词：
Euler equations; regularity of the solution map; nowhere differentiable;
D O I：
10.4310/DPDE.2015.v12.n2.a1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the incompressible Euler equation on the Sobolev space H-s(R-n), s > n/2 + 1, and show that for any T > 0 its solution map u(0) bar right arrow u(T), mapping the initial value to the value at time T, is nowhere locally uniformly continuous and nowhere differentiable.
引用
收藏
页码：97 / 113
页数：17
相关论文
共 50 条
12345