Details

Autor(en) / Beteiligte

• Drabek, Pavel
• Lasiecka, Irena

Titel

New-Type Solutions of the Modified Fischer-Kolmogorov Equation

Ist Teil von

• Abstract and Applied Analysis, 2011-01, Vol.2011 (2011), p.732-738

Ort / Verlag

Cairo, Egypt: Hindawi Limiteds

Erscheinungsjahr

2011

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.