Studies on blow-up

(1994) Studies on blow-up. Masters thesis, King Fahd University of Petroleum and Minerals.


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English Abstract

It is known that the solution of the nonlinear reaction-diffusion equation becomes unbounded in finite time no matter how small the initial data u₀ is. This time is known as the finite blow-up time. In this thesis, we push the blow-up time into infinity for the general equation by introducing a cooling term. Also, the infinite time blow-up of u(x,t) will occur at the infinity; \x\ = 00. R(n)

Item Type: Thesis (Masters)
Subjects: Math
Department: College of Computing and Mathematics > Mathematics
Committee Advisor: Boumenir, Amin
Committee Members: El-Gebeily, Mohammed A. and Wright, O.
Depositing User: Mr. Admin Admin
Date Deposited: 22 Jun 2008 14:01
Last Modified: 01 Nov 2019 13:59