Year: 2024
Author: Liping Zhu, Yaxin Zhou, Lin Huang
Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 1 : pp. 104–120
Abstract
In this paper, we study the quenching phenomenon of solutions for parabolic equations with singular absorption under the mixed boundary conditions on graphs. Firstly, we prove the local existence of solutions via Schauder fixed point theorem. Then, under certain conditions we obtain the estimates of quenching time and quenching rate. Finally, numerical experiments are shown to explain the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v37.n1.6
Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 1 : pp. 104–120
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Graph singular absorption quenching mixed boundary conditions.