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Seventh Mississippi State - UAB Conference on Differential Equations & Computational Simulations
November 1-3, 2007
Doubletree Hotel
Birmingham, AL, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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Computing Blow-up Solutions
by
Amin Boumenir
University of West Georgia

We show the existence of power series type of solutions of reaction diffusion equations with quadratic nonlinearities. Local existence of these solutions follow from the uniform convergence of the series. We also show that a positive source leads to a finite blow up time of a solution.

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Date received: October 3, 2007


Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavp-19.