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

作　　者：YANG Jian 

机构地区：[1]School of Mathematical Sciences,University of Jinan,Jinan 250022,China

出　　处：《Journal of Partial Differential Equations》2023年第4期394-403,共10页偏微分方程（英文版）

基　　金：supported by Natural Science Foundation of China(No.11901238);Natural Science Foundation of Shandong Province(No.ZR2019MA063).

摘　　要：We investigate a blowup problem of a reaction-advection-diffusion equa-tion 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 con-clude 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.

关 键 词：Nonlinear reaction-advection-diffusion equation one-phase Stefan problem DECAY BLOWUP 

分 类 号：O175[理学—数学]