Blow-up for discrete reaction-diffusion equations on networks-Reference-Cited by-同舟云学术

Blow-up for discrete reaction-diffusion equations on networks

Published:2015 Issue:1 Volume:9 Page:103-119
ISSN:1452-8630
Container-title:Applicable Analysis and Discrete Mathematics
language:en
Short-container-title:APPL ANAL DISCRETE M

Author:

Chung Soon-Yeong¹,Lee Jae-Hwang²

Affiliation:

1. Sogang University, Department of Mathematics and Program of Integrated Biotechnology, Seoul, Republic of Korea

2. Sogang University, Department of Mathematics, Seoul, Republic of Korea

Abstract

In this paper, we discuss the conditions under which blow-up occurs for the solutions of reaction-diffusion equations on networks. The analysis of this class of problems includes the existence of blow-up in finite time and the determination of the blow-up time and the corresponding blow-up rate. In addition, when the solution blows up, we give estimates for the blow-up time and also provide the blow-up rate. Finally, we show some numerical illustrations which describe the main results.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Turing Patterns in a $$p$$-Adic FitzHugh-Nagumo System on the Unit Ball;p-Adic Numbers, Ultrametric Analysis and Applications;2023-12

2. Non-Archimedean Models of Morphogenesis;STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health;2021

3. Reaction-diffusion equations on complex networks and Turing patterns, via p-adic analysis;Journal of Mathematical Analysis and Applications;2020-11

4. On the critical set for Fujita type blow-up of solutions to the discrete Laplacian parabolic equations with nonlinear source on networks;Computers & Mathematics with Applications;2019-09

5. A complete characterization of the discrete p-Laplacian parabolic equations with q-nonlocal reaction with respect to the blow-up property;Journal of Mathematical Analysis and Applications;2019-05