Blowup for the 3D compressible Euler equations

被引：12

作者：

Zhu, Xusheng ^{[1
]}

Tu, Aihua ^{[1
]}

Fu, Chunyan ^{[1
]}

机构：

[1] East China Jiaotong Univ, Sch Sci, Nanchang, Jiangxi, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 133卷

关键词：

Compressible 3D Euler equations; Cauchy problem; C-1; solution; Blowup; Functional methods; REGULAR SOLUTIONS; VACUUM; FLOW; IBVP;

D O I：

10.1016/j.na.2015.11.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish several results about the blowup of the solutions for the Cauchy problem of the 3D compressible Euler equations, under some assumptions on weighed functionals associated with the initial momentum that they are large enough to develop singularities. Especially we prove the blowup results without the condition eta(0) = integral [rho(x, 0)e(S(x, 0)/gamma) _ (rho) over bare((S) over bar/gamma)] dx >= 0, while it is an essential condition in the well-known result obtained by Thomas C. Sideris. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：51 / 60

页数：10

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