New-Type Solutions of the Modified Fischer-Kolmogorov Equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43898315" target="_blank" >RIV/49777513:23520/11:43898315 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1155/2011/247619" target="_blank" >http://dx.doi.org/10.1155/2011/247619</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/2011/247619" target="_blank" >10.1155/2011/247619</a>

Result language
angličtina
Original language name
New-Type Solutions of the Modified Fischer-Kolmogorov Equation
Original language description
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 andthe shape of the double-well potential.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - New Technologies for Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)