TY - JOUR
T1 - Blowup of the Solutions for a Reaction-Advection-Diffusion Equation with Free Boundaries
AU - Yang , Jian
JO - Journal of Partial Differential Equations
VL - 4
SP - 394
EP - 403
PY - 2023
DA - 2023/11
SN - 36
DO - http://doi.org/10.4208/jpde.v36.n4.5
UR - https://global-sci.org/intro/article_detail/jpde/22136.html
KW - Nonlinear reaction-advection-diffusion equation, one-phase Stefan problem, decay, blowup.
AB - <p style="text-align: justify;">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.</p>