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Blow-up of Solutions and Avoidance of Blow-up forSome Reaction Diffusion Models(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2018年01期
Page:
9-
Research Field:
·数学·
Publishing date:

Info

Title:
Blow-up of Solutions and Avoidance of Blow-up forSome Reaction Diffusion Models
Author(s):
Jiang Chengshun
Information and Communication,Wuhan College,Wuhan 430212,China
Keywords:
reaction diffusion models; blow-up of solutions; green function; Volterra integral; mobile media; avoidance of blow-up
PACS:
O175.26
DOI:
10.3969/j.issn.1001-4616.2018.01.003
Abstract:
The actual application of some dynamic models,such as some reaction diffusion models,under certain conditions,there may be solutions of Blow up phenomenon. But when that moment will appear Blow up phenomenon,often due to some special measures to avoid the occurrence of Blow up. In view of this,at first,the author discussed the existence and uniqueness of local solutions to the corresponding reaction diffusion models. Then by using the method of constructing auxiliary problem,and the partial differential equation being transformed into Volterra integral equation techniques,the local solution of the models is given by using Green function represents. And based on the analysis of expression,the paper discussed the properties of the set for the Blow-up solutions of the models. Finally,the paper studied how to avoid the occurrence of Blow up solutions for the corresponding models.

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Last Update: 2018-03-31