Al-Attas, Husain Salem (1994) On the blow-up by comparison. Masters thesis, King Fahd University of Petroleum and Minerals.
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)|
|Divisions:||College Of Sciences > Mathematical Science Dept|
|Creators:||Al-Attas, Husain Salem|
|Committee Advisor:||Boumenir, Amin|
|Committee Members:||Zaman, Fiazuddin and Chaudhry, M. Aslam|
|Deposited By:||KFUPM ePrints Admin|
|Deposited On:||22 Jun 2008 16:48|
|Last Modified:||25 Apr 2011 09:22|
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