Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equationsстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 2 мая 2014 г.
Аннотация:We consider a singularly perturbed parabolic periodic boundary value problem for a
reaction–advection–diffusion equation.Weconstruct the interior layer type formal asymptotics
and propose a modified procedure to get asymptotic lower and upper solutions. By
using sufficiently precise lower and upper solutions, we prove the existence of a periodic
solution with an interior layer and estimate the accuracy of its asymptotics. Moreover, we
are able to establish the asymptotic stability of this solution.