Blow-up problems for a compressible reactive gas model

被引：2

作者：

Ling, Zhengqiu ^{[1
]}

Wang, Zejia ^{[2
]}

机构：

[1] Yulin Normal Univ, Coll Math & Informat Sci, Yulin 537000, Guangxi, Peoples R China

[2] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2012年

基金：

中国国家自然科学基金;

关键词：

degenerate parabolic system; nonlocal sources; finite time blow-up; blow-up rate; GLOBAL EXISTENCE; DIFFUSION-EQUATIONS; NONEXISTENCE;

D O I：

10.1186/1687-2770-2012-101

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates a compressible reactive gas model with homogeneous Dirichlet boundary conditions. Under the parameters and the initial data satisfying some conditions, we prove that the solutions have global blow-up, and the blow-up rate is uniform in all compact subsets of the domain. Moreover, the blow-up rates of vertical bar u(t)vertical bar(infinity) and vertical bar v(t)vertical bar infinity are precisely determined.

引用

页数：16

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