期刊名称：Current Journal of Applied Science and Technology
印刷版ISSN：2457-1024
出版年度：2016
卷号：16
期号：5
页码：1-8
语种：English
出版社：Sciencedomain International
摘要：This paper deals with the existence and nonexistence of self-similar solutions for a nonlinear heat equation arising from electrostatic MEMS. We show that there exists a critical value A*, such that if the initial data is less than A*, then there is no global forward self-similar radial solution. While if the initial data is greater than A*, then there exists a family of increasing global forward self-similar radial solutions, which goes to ∞ as r → ∞. We also establish the optimal growth rate of these solutions. At last, we give the nonexistence result of backward self-similar solutions.
