Year: 2022
Author: Liping Zhu, Lin Huang
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 2 : pp. 148–162
Abstract
In this article, we discuss the blowup phenomenon of solutions to the $\omega$-diffusion equation with Dirichlet boundary conditions on the graph. Through Banach fixed point theorem, comparison principle, construction of auxiliary function and other methods, we prove the local existence of solutions, and under appropriate conditions the blowup time and blowup rate estimation are given. Finally, numerical experiments are given to illustrate the blowup behavior of the solution.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v35.n2.3
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 2 : pp. 148–162
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Simple graph discrete blowup time blowup rate.