一类抛物方程爆破时间下界的确定方法与有效性分析

Abstract

Abstract:

In this paper, we consider the blow-up phenomenon to a type of Newtonian filtration equation with variable source subject to homogeneous Neumann boundary condition. We give two methods to determine the lower bound for blow-up time of solution in $\Omega \in {{\mathbb{R}}^{3}}$ if the solutions blow up by energy estimation method and diferential inequality technique. Moreover, the effectiveness of these methods are also discussed.

Key words: Newtonian filtration equation, Variable source, Blow-up, Lower bound, Effectiveness

CLC Number:

O175.2

Siqian Qin,Zhengqiu Ling,Zewen Zhou. Some Methods for Determining the Lower Bound of Blow-up Time in a Parabolic Problem and Effectiveness Analysis[J].Acta mathematica scientia,Series A, 2019, 39(5): 1033-1040.

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References 11

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Some Methods for Determining the Lower Bound of Blow-up Time in a Parabolic Problem and Effectiveness Analysis

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