Global Existence and Blow-Up in Finite Time of Solutions to One Kind of Reaction-Diffusion Educations with Neumann Boundary Conditions

Jun Zhou Shao; Ji Jun Xu

doi:10.4028/www.scientific.net/AMR.971-973.1017

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 971-973Global Existence and Blow-Up in Finite Time of...

Global Existence and Blow-Up in Finite Time of Solutions to One Kind of Reaction-Diffusion Educations with Neumann Boundary Conditions

Abstract:

This paper deals with the properties of one kind of reaction-diffusion equations with Neumann boundary conditions based on the comparison principles. The relations of parameter and the situation of the coupled about equations are used to construct the global existent super-solutions and the blowing-up sub-solutions, and then we obtain the conditions of the global existence and blow-up in finite time solutions with the processing techniques of inequality.

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Periodical:

Advanced Materials Research (Volumes 971-973)

Pages:

1017-1020

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.971-973.1017

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Online since:

June 2014

Authors:

Jun Zhou Shao*, Ji Jun Xu

Keywords:

Blow-Up in Finite Time, Global Existence, Sub-Solutions, Super-Solutions

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