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Matematicheskie Zametki, 2018, Volume 104, Issue 5, Pages 755–766
DOI: https://doi.org/10.4213/mzm11699 (Mi mzm11699) 		 
This article is cited in 11 scientific papers (total in 11 papers)

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

Yafei Pana, Min Kan Nia, M. A. Davydovab

a East China Normal University
b Lomonosov Moscow State University
Full-text PDF (490 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm11699
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.
Keywords: problem of reaction-diffusion-advection type, internal transition layer, asymptotic methods, problems with discontinuous nonlinearity.
Funding agency Grant number
National Natural Science Foundation of China 11471118
Russian Foundation for Basic Research 16-01-00437
Chinese Academy of Sciences
This work was supported by the National Natural Science Foundation of China (project 11471118), by the Innovation Project of the Chinese Academy of Sciences, Shanghai, PMMP Laboratory, and by the Russian Foundation for Basic Research under grant 16-01-00437.
Received: 27.05.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 5, Pages 735–744
DOI: https://doi.org/10.1134/S0001434618110159
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: Yafei Pan, Min Kan Ni, M. A. Davydova, “Contrast Structures in Problems for a Stationary Equation of Reaction-Diffusion-Advection Type with Discontinuous Nonlinearity”, Mat. Zametki, 104:5 (2018), 755–766; Math. Notes, 104:5 (2018), 735–744
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
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