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New-Type Solutions of the Modified Fischer-Kolmogorov Equation
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-14
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Drabek, Pavel. 2011. New-Type Solutions of the Modified Fischer-Kolmogorov Equation. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-457120
Modern Language Association (MLA)
Drabek, Pavel. New-Type Solutions of the Modified Fischer-Kolmogorov Equation. Abstract and Applied Analysis No. 2011 (2011), pp.1-7.
https://search.emarefa.net/detail/BIM-457120
American Medical Association (AMA)
Drabek, Pavel. New-Type Solutions of the Modified Fischer-Kolmogorov Equation. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-457120
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457120