@ARTICLE{À venir, TITLE={[À PARAITRE] Vitesses des ondes progressives dans les systèmes de réaction-diffusion bistables avec perturbations}, AUTHOR={Fathi Dkhil , Bechir Mannoubi, }, JOURNAL={Avancées en Mathématiques Pures et Appliquées}, VOLUME={}, NUMBER={Articles à paraître
}, YEAR={2026}, URL={https://www.openscience.fr/Vitesses-des-ondes-progressives-dans-les-systemes-de-reaction-diffusion}, DOI={À venir}, ISSN={1869-6090}, ABSTRACT={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.}}