Blowup for irrotational C1 solutions of the compressible Euler equations in RN

被引：19

作者：

Yuen, Manwai ^{[1
]}

机构：

[1] Educ Univ Hong Kong, Dept Math & Informat Technol, 10 Lo Ping Rd, Tai Po, Hong Kong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 158卷

关键词：

Compressible Euler equations; Blowup; Initial value problem; Irrotational solutions; Integration method; Non-vacuum; POISSON EQUATIONS; SINGULARITIES;

D O I：

10.1016/j.na.2017.04.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the finite life span of the irrotational C-1-non-vacuum solutions, for the compressible Euler equations in R-N in fluid dynamics. We present the blowup results for the C-1 solutions, for which the initial functional H(0) = integral R-N x.u(0)dV, is sufficiently large. To partially complement the classical Sideris blowup results, F(0) = integral R-3 x. rho(0)u(0)dV, (Sideris, 1985), our blowup conditions do not depend on the density rho(0). (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：132 / 141

页数：10

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