Search results for "Reaction–diffusion equations"

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A Fisher–Kolmogorov equation with finite speed of propagation

2010

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.

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