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- W2951371036 abstract "We consider reaction-diffusion equations and Korteweg-de Vries-Burgers (KdVB) equations, i.e. scalar conservation laws with diffusive-dispersive regularization. We review the existence of traveling wave solutions for these two classes of evolution equations. For classical equations the traveling wave problem (TWP) for a local KdVB equation can be identified with the TWP for a reaction-diffusion equation. In this article we study this relationship for these two classes of evolution equations with nonlocal diffusion/dispersion. This connection is especially useful, if the TW equation is not studied directly, but the existence of a TWS is proven using one of the evolution equations instead. Finally, we present three models from fluid dynamics and discuss the TWP via its link to associated reaction-diffusion equations." @default.
- W2951371036 created "2019-06-27" @default.
- W2951371036 creator A5050786781 @default.
- W2951371036 date "2017-03-17" @default.
- W2951371036 modified "2023-09-27" @default.
- W2951371036 title "Two classes of nonlocal Evolution Equations related by a shared Traveling Wave Problem" @default.
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