The Blow-up of Solutions for Two-Dimensional Irrotational Compressible Euler Equations

被引：0

作者：

Hui Cheng YIN

Qin ZHENG

Shu Ze JIN Department of Mathematics

机构：

来源：

Acta Mathematica Sinica,English Series | 2001年 / 17卷 / 02期

关键词：

Lifespan; Commutator method; Nash-Moser iteration;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

For two-dimensional irrotational compressible Euler equations with initial data where thatis a small perturbation from a constant state, we prove that the first-order derivatives of ρ, υ blow-upat the blow-up time, while ρ, υ remain continuous. In particular, in the irrotational case we prove S.Alinhac’s statement.

引用

页码：217 / 228

页数：12

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