6533b7d4fe1ef96bd12632b0

RESEARCH PRODUCT

A Fisher–Kolmogorov equation with finite speed of propagation

Fuensanta AndreuVicent CasellesJosé M. Mazón

subject

Entropy solutionsPartial differential equationDiffusion equationApplied MathematicsMathematical analysisFlux limited diffusion equationsReaction–diffusion equationsFront propagationReaction–diffusion systemFisher–Kolmogorov equationFokker–Planck equationUniquenessDiffusion (business)Convection–diffusion equationAnalysisMathematics

description

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.

yearjournalcountryeditionlanguage
2010-05-01Journal of Differential Equations
10.1016/j.jde.2010.01.005http://dx.doi.org/10.1016/j.jde.2010.01.005