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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 3, Pages 448–461 (Mi zvmmf686)  

On the stability of a steplike contrast structure for a parabolic equation

A. B. Vasil'eva, E. E. Bukzhalev

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
References:
Abstract: Solutions to a singularly perturbed parabolic equation are constructed that have internal and boundary layers with stretched variables depending on various powers of a perturbation parameter. Asymptotics of one of these solutions is constructed, and its stability is analyzed.
Key words: parabolic equation with a small parameter, stability of contrast structures.
Received: 30.06.2004
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. B. Vasil'eva, E. E. Bukzhalev, “On the stability of a steplike contrast structure for a parabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 45:3 (2005), 448–461; Comput. Math. Math. Phys., 45:3 (2005), 430–443
Citation in format AMSBIB
\Bibitem{VasBuk05}
\by A.~B.~Vasil'eva, E.~E.~Bukzhalev
\paper On the stability of a steplike contrast structure for a parabolic equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 3
\pages 448--461
\mathnet{http://mi.mathnet.ru/zvmmf686}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2161486}
\zmath{https://zbmath.org/?q=an:1114.35081}
\elib{https://elibrary.ru/item.asp?id=9131858}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 3
\pages 430--443
\elib{https://elibrary.ru/item.asp?id=13498445}
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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