The existence and asymptotic stability of periodic solutions with an interior layer of Burgers type equations with modular advectionстатья
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Дата последнего поиска статьи во внешних источниках: 3 сентября 2019 г.
Аннотация:We consider a new class of singularly perturbed parabolic periodic boundary value prob-
lems for reaction-advection-diffusion equations: Burgers type equations with modular advection. We
construct the interior layer type formal asymptotics and propose a modified procedure to get asymp-
totic 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. The asymptotic stability of this solution is also established.