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Vladikavkazskii Matematicheskii Zhurnal, 2010, Volume 12, Number 1, Pages 33–52
(Mi vmj4)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/vmj4 https://www.mathnet.ru/eng/vmj/v12/i1/p33
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Abstract page: | 413 | Full-text PDF : | 157 | References: | 52 | First page: | 1 |
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