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Matematicheskoe modelirovanie, 2015, Volume 27, Number 7, Pages 97–102 (Mi mm3628)  

This article is cited in 1 scientific paper (total in 1 paper)

A property of solutions of equations simulating certain chemical reactions about

S. V. Pikulin

Dorodnicyn Computing Centre of Russian Academy of Sciences, Federal Research Center "Computer Science and Control" of Russian Academy of Sciences
Full-text PDF (284 kB) Citations (1)
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Abstract: We consider the effect of vanishing on an open subset of the domain of a non-trivial solution of a nonlinear equation of "reaction-diffusion" type. Such problem can simulate some of the chemical reactions that occur in the body of the grain of permeable catalyst. We obtain estimates of the size of that part of the domain in which the solution can be non-zero in terms of the distance from the point to the boundary. Explicit formulas for the constants involved in the estimations are given. The results may be useful in the construction of a numerical algorithm for solving the problem.
Keywords: model "reaction-diffusion", semilinear elliptic equation, Dirichlet problem, support of solutions, "dead core".
Received: 30.03.2015
Bibliographic databases:
Document Type: Article
UDC: 517.976
Language: Russian
Citation: S. V. Pikulin, “A property of solutions of equations simulating certain chemical reactions about”, Matem. Mod., 27:7 (2015), 97–102
Citation in format AMSBIB
\Bibitem{Pik15}
\by S.~V.~Pikulin
\paper A property of solutions of equations simulating certain chemical reactions about
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 7
\pages 97--102
\mathnet{http://mi.mathnet.ru/mm3628}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3545732}
\elib{https://elibrary.ru/item.asp?id=24850058}
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  • https://www.mathnet.ru/eng/mm3628
  • https://www.mathnet.ru/eng/mm/v27/i7/p97
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:326
    Full-text PDF :98
    References:66
    First page:12
     
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