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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.
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.