Blow-up of solutions to a nonlinear nonlocal reaction-diffusion system with time-dependent coefficients and inner absorption terms

Global existence and blow-up of solutions to a nonlinear nonlocal reaction-diffusion system with time-dependent coefficients and inner absorption terms under nonlinear boundary conditions are studied.Energy expressions are formulated.By using the technique of Sobolev inequalities and other different...

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Bibliographic Details
Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 49; no. 1; pp. 27 - 35
Main Author Ouyang, Baiping
Format Journal Article
LanguageChinese
Published Hangzhou Zhejiang University 01.01.2022
Zhejiang University Press
Subjects
Absorption
Boundary conditions
Lower bounds
Time dependence
全局存在性
反应扩散系统
吸收项
时变系数
爆破
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ISSN1008-9497
DOI10.3785/j.issn.1008-9497.2022.01.004

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Summary:Global existence and blow-up of solutions to a nonlinear nonlocal reaction-diffusion system with time-dependent coefficients and inner absorption terms under nonlinear boundary conditions are studied.Energy expressions are formulated.By using the technique of Sobolev inequalities and other differential ones,the energy satisfying a differential inequality under certain conditions is deduced.Finally,the global existence and lower bound estimates of blow up time are obtained respectively.
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ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2022.01.004