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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 6, Pages 1081–1090 (Mi zvmmf9465)  
This article is cited in 3 scientific papers (total in 3 papers)

Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor

N. N. Nefedov, A. G. Nikitin

Faculty of Physics, Moscow State University, Moscow, 119992 Russia
Full-text PDF (513 kB) Citations (3)
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Abstract: A nonlinear parabolic integral problem arising in dynamic simulation of processes in activator–inhibitor systems is considered. Based on the asymptotic theory of such problems previously developed by the authors, the existence of solutions with boundary and internal layers is proved and their asymptotic behavior is found.
Key words: reaction-diffusion problem, singularly perturbed activator–inhibitor system, boundary and internal layers, asymptotic behavior of the solution.
Received: 21.10.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 6, Pages 1011–1019
DOI: https://doi.org/10.1134/S0965542511060157
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: N. N. Nefedov, A. G. Nikitin, “Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor”, Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011), 1081–1090; Comput. Math. Math. Phys., 51:6 (2011), 1011–1019
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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