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Two Types Of Reaction Diffusion Study Of The Nature Of The System Solution

Posted on:2001-03-14Degree:MasterType:Thesis
Country:ChinaCandidate:C X JiangFull Text:PDF
GTID:2190360002451935Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper, We mainly study the global L?and L~ boundedness of solutions for a class of reaction-diffusion systems and some properties of solutions to a class of reaction-diffusion equations.In the introduction, We give a discussion about the practical meaning and all kinds of background to the reaction-diffusion systems. Follow these, We talk about some necessary acknowledge and results that are related to this article, especially the developing situation .In the third chapter, We improve the results in [33], which is about the solutions boundedness, but we get the L?and L~ boundedness of solutions by using the method in [35] .At last, that is in the chapter four, We consider a class of. reaction-diffusion equations with nonlinear diffusion term. Some results in [38] an are proved true in n dimension, So we enlarge these results.
Keywords/Search Tags:Reaction-diffusion systems, Global boundedness, Blow-up, Blow-up set, Blow-up time.
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