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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 1, Pages 41–55
(Mi zvmmf718)
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This article is cited in 3 scientific papers (total in 3 papers)
Change of the type of contrast structures in parabolic Neumann problems
N. N. Nefedova, M. Radziunasb, K. R. Schneiderb, A. B. Vasil'evaa a Moscow State Univ. Fac. Phys. Dept. Math. Leninskie Gori, 119992 Moscow, Russia
b Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstraße 39, D-10117 Berlin, Germany
Abstract:
A class of singularly perturbed nonlinear parabolic problems is considered in the case when the solution changes in type from a solution with an interior transition layer (contrast structure) to a solution with a boundary layer. A theoretical analysis of this phenomenon is compared with a numerical study of some examples.
Key words:
singularly perturbed parabolic problems, contrast structures.
Received: 04.03.2004
Citation:
N. N. Nefedov, M. Radziunas, K. R. Schneider, A. B. Vasil'eva, “Change of the type of contrast structures in parabolic Neumann problems”, Zh. Vychisl. Mat. Mat. Fiz., 45:1 (2005), 41–55; Comput. Math. Math. Phys., 45:1 (2005), 37–51
Linking options:
https://www.mathnet.ru/eng/zvmmf718 https://www.mathnet.ru/eng/zvmmf/v45/i1/p41
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Abstract page: | 350 | Full-text PDF : | 147 | References: | 53 | First page: | 1 |
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