Generalized Traveling Waves in Disordered Media: Existence, Uniqueness, and Stability

Abstract

We prove existence, uniqueness, and stability of transition fronts (generalized traveling waves) for reaction-diffusion equations in cylindrical domains with general inhomogeneous ignition reactions. We also show uniform convergence of solutions with exponentially decaying initial data to time translates of the front. In the case of stationary ergodic… (More)

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Cite this paper

@inproceedings{Zlatos2009GeneralizedTW, title={Generalized Traveling Waves in Disordered Media: Existence, Uniqueness, and Stability}, author={Andrej Zlatos}, year={2009} }