@ARTICLE{TBA, TITLE={[FORTHCOMING] Traveling wave speeds of bistable reaction-diffusion systems with drift perturbation}, AUTHOR={Fathi Dkhil , Bechir Mannoubi, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={}, NUMBER={Forthcoming papers
}, YEAR={2026}, URL={https://www.openscience.fr/Traveling-wave-speeds-of-bistable-reaction-diffusion-systems-with-drift}, DOI={TBA}, 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.}}