Moving fronts in integro-parabolic reaction-advection-diffusion equations |
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Authors: | N. N. Nefedov A. G. Nikitin M. A. Petrova L. Recke |
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Affiliation: | 1.Moscow State University,Moscow,Russia;2.National Research Nuclear University MEPhI,Moscow,Russia;3.Humboldt-Universit?t zu Berlin,Berlin,Germany |
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Abstract: | We consider initial-boundary value problems for a class of singularly perturbed nonlinear integro-differential equations. In applications, they are referred to as nonlocal reactionadvection-diffusion equations, and their solutions have moving interior transition layers (fronts). We construct the asymptotics of such solutions with respect to a small parameter and estimate the accuracy of the asymptotics. To justify the asymptotics, we use the asymptotic differential inequality method. |
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