带非局部源退化奇异抛物方程组的一致爆破模式  

Uniform Blow-up Profile for a Degenerate and Singular Parabolic System with Nonlocal Sources

作　　者：魏云峰[1] 

机构地区：[1]南京审计学院金审学院,江苏南京210029

出　　处：《淮北煤炭师范学院学报（自然科学版）》2010年第4期10-14,共5页Journal of Huaibei Coal Industry Teachers College(Natural Science edition)

摘　　要：文章研究了带有齐次Dirichlet边界条件的非线性非局部源的退化奇异抛物型方程组正解的一致爆破模式,在适当的假设条件下,证明了爆破集是整个区域,精确地得到了正解的一致爆破模式.This paper deals with uniformly blow-up profile of positive solution for a degenerate and singular parabolic system with nonlinear nonlocal sources subject to the homogeneous Dirichlet boundary conditions.Under appropriate hypotheses,it is proved that the blow-up set is the whole domain.Furthermore,the uniform blow-up profile of positive solution is precisely determined.

关 键 词：退化奇异抛物方程 非局部源 一致爆破模式 

分 类 号：O175.26[理学—数学]