Blowup of the Solutions for a Reaction-Advection-Diffusion Equation with Free Boundaries

被引：0
|
作者：
Yang, Jian [1 ]
机构：
[1] Jinan Univ, Sch Math Sci, Jinan 250022, Peoples R China
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 36卷 / 04期
关键词：
Nonlinear reaction-advection-diffusion equation; one-phase Stefan problem; decay; blowup; MODEL;
D O I：
10.4208/jpde.v36.n4.5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a blowup problem of a reaction-advection-diffusion equation with double free boundaries and aim to use the dynamics of such a problem to describe the heat transfer and temperature change of a chemical reaction in advective environment with the free boundary representing the spreading front of the heat. We study the influence of the advection on the blowup properties of the solutions and conclude that large advection is not favorable for blowup. Moreover, we give the decay estimates of solutions and the two free boundaries converge to a finite limit for small initial data.
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页码：394 / 403
页数：10
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