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.
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页码：132 / 141
页数：10
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