Formation of singularities of solutions to the three-dimensional Euler-Boltzmann equations in radiation hydrodynamics

被引：24

作者：

Jiang, Peng ^{[1
,2
]}

Wang, Dehua ^{[2
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Med, Shanghai 200240, Peoples R China

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

NONLINEARITY | 2010年 / 23卷 / 04期

基金：

美国国家科学基金会;

关键词：

PARTIAL-DIFFERENTIAL-EQUATIONS; COMPRESSIBLE FLUIDS; WAVE-EQUATIONS; DIMENSIONS;

D O I：

10.1088/0951-7715/23/4/003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Cauchy problem for the three-dimensional Euler-Boltzmann equations of a polytropic, ideal and isentropic fluid in radiation hydrodynamics is considered. The formation of singularities in smooth solutions is studied. It is proved that some C(1) solutions, regardless of the size of the initial disturbance, will develop singularities in a finite time provided that the initial disturbance satisfies certain conditions.

引用

页码：809 / 821

页数：13

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