Bounds for the blow-up time of a porous medium equation with weighted nonlocal source and inner absorption terms

Autor:	Yunde Shen, Zhong Bo Fang
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Porous medium equation Weighted nonlocal source Inner absorption Bounds for the blow-up time Analysis QA299.6-433
Zdroj:	Boundary Value Problems, Vol 2018, Iss 1, Pp 1-18 (2018)
Druh dokumentu:	article
ISSN:	1687-2770
DOI:	10.1186/s13661-018-1038-3
Popis:	Abstract We investigate the blow-up phenomena for a porous medium equation with weighted nonlocal source and inner absorption terms subject to null Dirichlet boundary condition. Based on a modified differential inequality technique, we establish some sufficient conditions to guarantee the existence of non-global solutions to the model and also derive the upper bounds for the blow-up time. Moreover, the lower bounds for the blow-up time are obtained under some appropriate measure in the whole-dimensional space ( N≥1 $N\geq1$).
Databáze:	Directory of Open Access Journals
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