Blowup phenomenon for the initial-boundary value problem of the non-isentropic compressible Euler equations

被引：5

作者：

Cheung, Ka Luen ^{[1
]}

Wong, Sen ^{[1
]}

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：

JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 04期

关键词：

SINGULARITIES;

D O I：

10.1063/1.5031120

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The blowup phenomenon for the initial-boundary value problem of the non-isentropic compressible Euler equations is investigated. More precisely, we consider a functional F(t) associated with the momentum and weighted by a general test function f and show that if F(0) is sufficiently large, then the finite time blowup of the solutions of the non-isentropic compressible Euler equations occurs. As the test function f is a general function with only mild conditions imposed, a class of blowup conditions is established. Published by AIP Publishing.

引用

页数：9

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