Finite time quenching for a nonlinear diffusion equation with singular boundary flux
[摘要] In this paper, we study the finite time quenching phenomenon of a nonlinear diffusion equation with nonlinear source and singular boundary flux. It is shown that the solution must quench in a finite time and the time derivative blows up at a quenching point. The quenching set and rate are determined.
[发布日期] [发布机构] School of Mathematics and Statistics, Shenzhen University, Shenzhen; 518060, China^1
[效力级别] 数学 [学科分类]
[关键词] Finite time;Nonlinear diffusion equations;Nonlinear source;Quenching phenomena;Singular boundary;Time derivative [时效性]
