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  • 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.
  • 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. (en)
Title
  • New-Type Solutions of the Modified Fischer-Kolmogorov Equation
  • New-Type Solutions of the Modified Fischer-Kolmogorov Equation (en)
skos:prefLabel
  • New-Type Solutions of the Modified Fischer-Kolmogorov Equation
  • New-Type Solutions of the Modified Fischer-Kolmogorov Equation (en)
skos:notation
  • RIV/49777513:23520/11:43898315!RIV12-MSM-23520___
http://linked.open...avai/riv/aktivita
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  • P(ED1.1.00/02.0090)
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  • June
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  • 215981
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  • RIV/49777513:23520/11:43898315
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  • Fischer-Kolmogorov equation, double-well potential, p-Laplacian (en)
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  • US - Spojené státy americké
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  • [9D841ED57238]
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  • Abstract and Applied Analysis
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  • 2011
http://linked.open...iv/tvurceVysledku
  • Drábek, Pavel
issn
  • 1085-3375
number of pages
http://bibframe.org/vocab/doi
  • 10.1155/2011/247619
http://localhost/t...ganizacniJednotka
  • 23520
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