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.
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页数：16
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