Contrast Structures in Problems for a Stationary Equation of Reaction-Diffusion-Advection Type with Discontinuous Nonlinearity

Yafei Pan; Mingkang Ni; M. A. Davydova

doi:10.1134/S0001434618110159

Contrast Structures in Problems for a Stationary Equation of Reaction-Diffusion-Advection Type with Discontinuous Nonlinearity

Authors: Pan Y.¹, Ni M.¹, Davydova M.A.²
Affiliations:
1. East China Normal University
2. LomonosovMoscow State University
Issue: Vol 104, No 5-6 (2018)
Pages: 735-744
Section: Article
URL: https://journal-vniispk.ru/0001-4346/article/view/150412
DOI: https://doi.org/10.1134/S0001434618110159
ID: 150412

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Abstract

A singularly perturbed boundary-value problem for a nonlinear stationary equation of reaction-diffusion-advection type is studied. A new class of problems with discontinuous advective and reactive terms is considered. The existence of contrast structures in problems of this type is proved, and an asymptotic approximation of the solution with an internal transition layer of arbitrary order of accuracy is obtained.