Mathematics > Home > Advances in Pure and Applied Mathematics > Forthcoming papers > Article
Fathi Dkhil
Université Tunis El Manar
Tunisie
Bechir Mannoubi
ESPRIT École d’Ingénieurs
Tunisie
Validated on 29 September 2026 DOI : TBA
This work deals with traveling waves solutions of bistable reaction-diffusion systems in infinite cylinders. It is known that unique, stable traveling fronts exist for bistable systems. Here we are concerned with the traveling wave speed and how small perturbations affect the speed of the original problem. Using a mini-max variational formula, we prove an asymptotic expansion of the traveling wave speed and we determine the exact value of the first-order coefficient of this expansion.
This work deals with traveling waves solutions of bistable reaction-diffusion systems in infinite cylinders. It is known that unique, stable traveling fronts exist for bistable systems. Here we are concerned with the traveling wave speed and how small perturbations affect the speed of the original problem. Using a mini-max variational formula, we prove an asymptotic expansion of the traveling wave speed and we determine the exact value of the first-order coefficient of this expansion.
Reaction-diffusion equations traveling wave speed drift perturbation bistable equations
Reaction-diffusion equations traveling wave speed drift perturbation bistable equations
