Existence of contrast structures in a problem with discontinuous reaction and advection

DOI10.1134/S1061920822020042zbMath1491.35016OpenAlexW4281942394MaRDI QIDQ2146359

A. O. Orlov, E. I. Nikulin, Nikolai N. Nefedov

Publication date: 16 June 2022

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920822020042

zbMATH Keywords

asymptotic method of differential inequalitiesinternal transition layer

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Semilinear elliptic equations (35J61) Semilinear parabolic equations (35K58)

Related Items (3)

Existence and stability of solutions with internal transition layer for the reaction-diffusion-advection equation with a KPZ-nonlinearity ⋮ 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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