Finite time quenching for a nonlinear diffusion equation with singular boundary flux

7th International Conference on Applied Physics and Mathematics

物理学;数学

Yang, Ying^1

School of Mathematics and Statistics, Shenzhen University, Shenzhen

518060, China^1

关键词: Finite time;    Nonlinear diffusion equations;    Nonlinear source;    Quenching phenomena;    Singular boundary;    Time derivative;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/814/1/012015/pdf
DOI  :  10.1088/1742-6596/814/1/012015

来源: IOP

【 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.