On the blow-up by comparison

(1994) On the blow-up by comparison. Masters thesis, King Fahd University of Petroleum and Minerals.

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Arabic Abstract

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English Abstract

It is known that it is difficult to estimate the blow-up time of positive solutions of nonlinear reaction-diffusion equations u(t) = …u + f(x,u,..u). The main difficulty lies in the fact that as the solution becomes unbounded, known methods such as the maximum principle method are inapplicable. To remedy this situation, we shall transform the equation so that the blow-up set is equivalent to the set of zeros of a solution of a new problem. Then by looking at the steady state, we shall be able to decide whether we have a blow-up or not for the original equation.

Item Type: Thesis (Masters)
Subjects: Math
Divisions: College Of Sciences > Mathematical Science Dept
Committee Advisor: Boumenir, Amin
Committee Members: Zaman, Fiazuddin and Chaudhry, M. Aslam
Depositing User: Mr. Admin Admin
Date Deposited: 22 Jun 2008 16:48
Last Modified: 01 Nov 2019 16:50
URI: http://eprints.kfupm.edu.sa/id/eprint/9753