Slow-Fast Systems and Hysteresis: Fronts in Reaction-Diffusion-Advection Problems: Periodic Motion and Blow-Upстатья
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Дата последнего поиска статьи во внешних источниках: 25 апреля 2019 г.
Аннотация:We present recent results on singularly perturbed reaction-advectiondiffusion
problems, which are based on a further development of the asymptotic
comparison principle. We illustrate this approach applying it to new problems. We
also give Theorems stating the existence of periodic solutions with an internal layer,
providing their asymptotic approximation and establishing their Lyapunov stability
for these problems. We discuss further development of the asymptotic method of
differential inequalities for the periodic parabolic problems and apply
this method to new cases.