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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 3, Pages 448–461
(Mi zvmmf686)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf686 https://www.mathnet.ru/eng/zvmmf/v45/i3/p448
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Statistics & downloads: |
Abstract page: | 247 | Full-text PDF : | 114 | References: | 50 | First page: | 1 |
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