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2011 New-Type Solutions of the Modified Fischer-Kolmogorov Equation
P. Drábek
Abstr. Appl. Anal. 2011: 1-7 (2011). DOI: 10.1155/2011/247619


We prove the existence of new-type solutions of the modified Fischer-Kolmogorov equation with slow/fast diffusion and with possibly nonsmooth double-well potential. We show that a certain relation between the rate of the diffusion and the smoothness of the potential may originate new type solutions which do not occur in the classical Fischer-Kolmogorov equation. The main focus of this paper is to show the sensitivity of the mathematical modelling with respect to the chosen form of the diffusion term and the shape of the double-well potential.


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P. Drábek. "New-Type Solutions of the Modified Fischer-Kolmogorov Equation." Abstr. Appl. Anal. 2011 1 - 7, 2011.


Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1221.35043
MathSciNet: MR2802829
Digital Object Identifier: 10.1155/2011/247619

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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