Blow-up of Solutions to Porous Medium Equations with a Nonlocal Boundary Condition and a Moving Localized Source
Year: 2012
Author: Peng Sun, Wenjie Gao, Yuzhu Han
Communications in Mathematical Research , Vol. 28 (2012), Iss. 3 : pp. 243–251
Abstract
This paper is devoted to the blow-up properties of solutions to the porous medium equations with a nonlocal boundary condition and a moving localized source. Conditions for the existence of global or blow-up solutions are obtained. Moreover, we prove that the unique solution has global blow-up property whenever blow-up occurs.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-CMR-19047
Communications in Mathematical Research , Vol. 28 (2012), Iss. 3 : pp. 243–251
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: blow-up moving localized source nonlocal boundary condition global blow-up.