具有变指标的反应扩散方程组问题的熄灭解(英文)  

Quenching Solutions in the Reaction-diffusion Equations Involving Variable Exponents

作　　者：刘丙辰 杨婕 

机构地区：[1]中国石油大学(华东)理学院,山东青岛266580

出　　处：《应用数学》2015年第2期330-338,共9页Mathematica Applicata

基　　金：Supported by the NNSF of China(11201483);the Shandong Provincial Natural Science Foundation,China;the Fundamental Research Funds for the Central Universities

摘　　要：本文研究一类具有变指标的反应扩散方程组的非齐次第一初边值问题.通过利用多个变指标的最大值给出方程组问题熄灭解的两个分量发生同时或非同时熄灭的最优判据,继而给出熄灭速率.In the paper,quenching phenomena for radial solutions are classified completely to the reaction-diffusion equations involving variable exponents, subject to nonhomogeneous Dirichlet boundary conditions. Moreover,asymptotic estimates for the solutions are determined by the maxima of the variable exponents.

关 键 词：反应扩散方程组 变指标 熄灭 熄灭速率 

分 类 号：O175.2[理学—数学]