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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 1, Pages 64–66 (Mi zvmmf346)  
This article is cited in 1 scientific paper (total in 1 paper)

Nonstationary three-dimensional contrasting structures

A. A. Bykov, A. R. Maikov, V. Yu. Popov

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119899, Russia
Full-text PDF (556 kB) Citations (1)
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Abstract: Three-dimensional contrasting structures (CS) occurring in nonlinear diffusion problems with generation are considered assuming that the generation coefficient depends on the concentration. Conditions under which a CS occupying a nonconvex domain in the three-dimensional space disintegrates into several isolated parts in the course of evolution are formulated. This property distinguishes three-dimensional CSs from the two-dimensional ones; the surface of the latter does not change its connectivity until the structure completely disappears.
Key words: contrasting structure, singularly perturbed boundary value problem.
Received: 06.05.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 1, Pages 62–64
DOI: https://doi.org/10.1134/S0965542507010071
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. A. Bykov, A. R. Maikov, V. Yu. Popov, “Nonstationary three-dimensional contrasting structures”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007), 64–66; Comput. Math. Math. Phys., 47:1 (2007), 62–64
Citation in format AMSBIB
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\paper Nonstationary three-dimensional contrasting structures
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\issue 1
\pages 64--66
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\transl
\jour Comput. Math. Math. Phys.
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\issue 1
\pages 62--64
\crossref{https://doi.org/10.1134/S0965542507010071}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947523785}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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