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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 1, Pages 95–107
DOI: https://doi.org/10.7868/S0044466918010064 (Mi zvmmf10662) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Invariant manifolds for the burgers equation defined on a semiaxis

A. V. Gorshkov

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
Citations (1)
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DOI: https://doi.org/10.7868/S0044466918010064
Abstract: Stable nonlocal invariant manifolds for the Burgers equation defined on $R_+$ are constructed. One problem of a boundary control stabilizing the solution of this equation to zero is also studied. Results of numerical experiments are presented.
Key words: Burgers equation, invariant manifolds, stabilization, boundary control.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03576_а
13-01-12476
Received: 19.09.2016
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 1, Pages 90–101
DOI: https://doi.org/10.1134/S0965542518010062
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. V. Gorshkov, “Invariant manifolds for the burgers equation defined on a semiaxis”, Zh. Vychisl. Mat. Mat. Fiz., 58:1 (2018), 95–107; Comput. Math. Math. Phys., 58:1 (2018), 90–101
Citation in format AMSBIB
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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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    References:46
     
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