On unstable solutions with a nonmonotone boundary layer in a two-dimensional reaction-diffusion problem

DOI10.1134/S0001434621110286zbMath1481.35028OpenAlexW4200549675MaRDI QIDQ2063683

E. I. Nikulin, Nikolai N. Nefedov

Publication date: 11 January 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621110286

zbMATH Keywords

asymptotic methodsperiodic problemsdifferential inequalitiesreaction-diffusion equationsKrein-Rutman theoremsingularly perturbed parabolic problemsnonmonotone boundary layers

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20)

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On unstable contrast structures in one-dimensional reaction-diffusion-advection problems with discontinuous sources, Contrast structures in the reaction-advection-diffusion problem appearing in a drift-diffusion model of a semiconductor in the case of nonsmooth reaction

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