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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 3, Pages 519–528
DOI: https://doi.org/10.7868/S004446691403003X (Mi zvmmf10012) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Inverse problems for stationary Navier–Stokes systems

A. Yu. Chebotarevab

a Institute of Applied Mathematics, Far East Branch, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
b Far East Federal University, ul. Sukhanova 8, Vladivostok, 690950, Russia
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DOI: https://doi.org/10.7868/S004446691403003X
Abstract: An inverse problem for a nonlinear equation in a Hilbert space is considered in which the right-hand side that is a linear combination of given functionals is found from given values of these functionals on the solution. Sufficient conditions for the existence of a solution are established, and the solution set is shown to be homeomorphic to a finite-dimensional compact set. A boundary inverse problem for the three-dimensional thermal convection equations for a viscous incompressible fluid and an inverse magnetohydrodynamics problem are considered as applications.
Key words: operator Navier–Stokes equations, thermal convection equations, MHD equations, inverse problems, existence theorems.
Received: 14.01.2013
Revised: 09.10.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 3, Pages 537–545
DOI: https://doi.org/10.1134/S0965542514030038
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. Yu. Chebotarev, “Inverse problems for stationary Navier–Stokes systems”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014), 519–528; Comput. Math. Math. Phys., 54:3 (2014), 537–545
Citation in format AMSBIB
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    • This publication is cited in the following 12 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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