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Effect of a cutoff on pushed and bistable fronts of the reaction-diffusion equation.

Research paper by R D RD Benguria, M C MC Depassier, V V Haikala

Indexed on: 01 Feb '08Published on: 01 Feb '08Published in: Physical review. E, Statistical, nonlinear, and soft matter physics



Abstract

We give an explicit formula for the change of speed of pushed and bistable fronts of the reaction-diffusion equation when a small cutoff is applied to the reaction term at the unstable or metastable equilibrium point. The results are valid for arbitrary reaction terms and include the case of density-dependent diffusion.