具有耦合指数反应项的变系数扩散方程组解的爆破现象

Abstract

Abstract:

Blow-up phenomena for the Dirichlet initial boundary value problem of a coupled diffusion system with exponential reaction terms and space-dependent coefficients is considered. By virtue of the Bernoulli equation, the method of super-and-sub solutions and the modified differential inequality techniques, we founded the influence of space-dependent coefficients on the existence of global solution or blow-up solution at finite time. Moreover, upper and lower bounds for the blow-up time of the solution are derived under different measures in whole dimensional spaces (N ≥ 1).

Key words: Coupled diffusion system, Exponential reaction terms, Space-dependent coefficients, Bounds for the blow-up time

CLC Number:

O175.2

Danni Ma,Zhongbo Fang. Blow-Up Phenomenon for a Coupled Diffusion System with Exponential Reaction Terms and Space-Dependent Coefficients[J].Acta mathematica scientia,Series A, 2019, 39(6): 1456-1475.

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Blow-Up Phenomenon for a Coupled Diffusion System with Exponential Reaction Terms and Space-Dependent Coefficients

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