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Vladikavkazskii Matematicheskii Zhurnal, 2010, Volume 12, Number 1, Pages 33–52 (Mi vmj4)  
Method of successive approximations for the problem of fluid flow in a deformable domain

A. B. Morgulisab

a Southern Federal University
b South Mathematical Institute of VSC RAS
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Abstract: We justify an iterative procedure for the solving of the general initial-boundary value problem of the inviscid fluid dynamics in the case of deformable flow domain. Using this approach we prove the existence and uniqueness of the solution.
Key words: Euler equations, inviscid fluid.
Received: 16.04.2009
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. B. Morgulis, “Method of successive approximations for the problem of fluid flow in a deformable domain”, Vladikavkaz. Mat. Zh., 12:1 (2010), 33–52
Citation in format AMSBIB
\Bibitem{Mor10}
\by A.~B.~Morgulis
\paper Method of successive approximations for the problem of fluid flow in a deformable domain
\jour Vladikavkaz. Mat. Zh.
\yr 2010
\vol 12
\issue 1
\pages 33--52
\mathnet{http://mi.mathnet.ru/vmj4}
\elib{https://elibrary.ru/item.asp?id=13081364}
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