1. A Fisher–Kolmogorov equation with finite speed of propagation
- Author
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Fuensanta Andreu, Vicent Caselles, and José M. Mazón
- Subjects
Entropy solutions ,Partial differential equation ,Diffusion equation ,Applied Mathematics ,Mathematical analysis ,Flux limited diffusion equations ,Reaction–diffusion equations ,Front propagation ,Reaction–diffusion system ,Fisher–Kolmogorov equation ,Fokker–Planck equation ,Uniqueness ,Diffusion (business) ,Convection–diffusion equation ,Analysis ,Mathematics - Abstract
In this paper we study a Fisher–Kolmogorov type equation with a flux limited diffusion term and we prove the existence and uniqueness of finite speed moving fronts and the existence of some explicit solutions in a particular regime of the equation.
- Published
- 2010
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