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

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dc.creatorZlatos, Andrej
dc.date2009-01-15
dc.date.accessioned2026-07-07T12:30:57Z
dc.date.available2026-07-07T12:30:57Z
dc.descriptionWe 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 reactions the fronts are proved to propagate with a deterministic positive speed. Our results extend to reaction-advection-diffusion equations with periodic advection and diffusion.
dc.identifierhttps://arxiv.org/abs/0901.2369
dc.identifierhttp://arxiv.org/abs/0901.2369
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216296
dc.subjectAnalysis of PDEs
dc.subject35K57; 35K15
dc.titleGeneralized Traveling Waves in Disordered Media: Existence, Uniqueness, and Stability
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