Existence and Nonexistence of Global Classical Solutions to Porous Medium and Plasma Equations with Singular Sources  

作　　者：Qiu Yi DAI Li Hui PENG 

机构地区：[1]Department of Mathematics, Hunan Normal University [2]Department of Mathematics, Zhejiang University

出　　处：《Acta Mathematica Sinica,English Series》2006年第2期485-496,共12页数学学报（英文版）

基　　金：supported by NNSF of China (Grant No. 10171029)

摘　　要：Let Ω be a bounded or unbounded domain in R~n. The initial-boundary value problem for the porous medium and plasma equation with singular terms is considered in this paper. Criteria for the appearance of quenching phenomenon and the existence of global classical solution to the above problem are established. Also, the life span of the quenching solution is estimated or evaluated for some domains.Let Ω be a bounded or unbounded domain in R^n. The initial-boundary value problem for the porous medium and plasma equation with singular terms is considered in this paper. Criteria for the appearance of quenching phenomenon and the existence of global classical solution to the above problem are established. Also, the life span of the quenching solution is estimated or evaluated for some domains.

关 键 词：Initial-boundary value problem Porous medium and plasma equation Quenching phenomenon Global classical solution 

分 类 号：O175[理学—数学]