Analysis of Solutions to a Parabolic System with Absorption

Autor: Haihua Lu, Jiayuan Wu, Wenjun Liu
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Symmetry, Vol 14, Iss 6, p 1274 (2022)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym14061274
Popis: In this paper, we investigate the blow-up rate and global existence of solutions to a parabolic system with absorption under the homogeneous Dirichlet boundary. By using the comparison principle and super-sub solution method, we obtain some sufficient conditions for the global existence and blow-up in finite time of solutions and establish some estimates of the upper and lower bounds of the blow-up rates. For the special case, if the domain is symmetric, for example, if it is a ball, the results of this paper also hold.
Databáze: Directory of Open Access Journals
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