Simultaneous blow-up of the solution for a singular parabolic system with concentrated sources

Autor: Wai Yuen Chan
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 3, Pp 6951-6963 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024339?viewType=HTML
Popis: A singular parabolic system with homogeneous Dirichlet boundary conditions and concentrated nonlinear reaction sources was examined. This paper investigated the existence and uniqueness of the solution. The sufficient conditions for the solution being blown up simultaneously in a finite time were determined. In addition, it was shown that the solution blew up everywhere in the domain except boundary points.
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