Year: 2023
Author: Jian Yang
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 4 : pp. 394–403
Abstract
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v36.n4.5
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 4 : pp. 394–403
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Nonlinear reaction-advection-diffusion equation one-phase Stefan problem decay blowup.