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

页码：97 / 113

页数：17

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