Sánchez-Garduño, F. and Maini, P. K. and Kappos, E. (1996) A review on travelling wave solutions of one-dimensional reaction diffusion equations with non-linear diffusion term. FORMA, 11 (1). pp. 45-59.
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Abstract
In this paper we review the existence of different types of travelling wave solutions of degenerate non-linear reaction-diffusion equations of the form
for different density-dependent diffusion coefficients D and kinetic part g. These include the non-linear degenerate generalized Fisher-KPP and the Nagumo equations. Also, we consider an equation whose diffusion coefficient changes sign as the diffusive substance increases. This describes a diffusive-aggregative process. In this case the travelling wave solutions are explored and the ill-posedness of two boundary-value problems associated with the above equation is stated.
| Item Type: | Article |
|---|---|
| Subjects: | A - C > Biology and other natural sciences |
| Research Groups: | Centre for Mathematical Biology |
| ID Code: | 569 |
| Deposited By: | Philip Maini |
| Deposited On: | 19 Feb 2007 |
| Last Modified: | 20 Jul 2009 14:22 |
Available Versions of this Item
- A review on travelling wave solutions of one-dimensional reaction diffusion equations with non-linear diffusion term. (deposited 07 Dec 2006)
- A review on travelling wave solutions of one-dimensional reaction diffusion equations with non-linear diffusion term. (deposited 19 Feb 2007) [Currently Displayed]
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