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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2017, Volume 10, Issue 1, Pages 149–155
DOI: https://doi.org/10.14529/mmp170110
(Mi vyuru364)
 

This article is cited in 2 scientific papers (total in 2 papers)

Short Notes

Computational experiment for a class of mathematical models of magnetohydrodynamics

A. O. Kondyukova, T. G. Sukachevaa, S. I. Kadchenkob, L. S. Ryazanovab

a Novgorod State University, Velikiy Novgorod, Russian Federation
b Nosov Magnitogorsk State Technical University, Magnitogorsk, Russian Federation
References:
Abstract: The first initial-boundary value problem for the system modelling the motion of the incompressible viscoelastic Kelvin–Voigt fluid in the magnetic field of the Earth is investigated considering that the fluid is under external influence. The problem is studied under the assumption that the fluid is under different external influences depending not only on the coordinates of the point in space but on time too. In the framework of the theory of semi-linear Sobolev type equations the theorem of existence and uniqueness of the solution of the stated problem is proved.The solution itself is a quasi-stationary semi-trajectory. The description of the problem's extended phase space is obtained.The results of the computainal experiment are presented.
Keywords: magnetohydrodynamics; Sobolev type equations; extended phase space; incompressible viscoelastic fluid; explicit one-step formulas of Runge–Kutta.
Received: 24.12.2016
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35G61
Language: English
Citation: A. O. Kondyukov, T. G. Sukacheva, S. I. Kadchenko, L. S. Ryazanova, “Computational experiment for a class of mathematical models of magnetohydrodynamics”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:1 (2017), 149–155
Citation in format AMSBIB
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\by A.~O.~Kondyukov, T.~G.~Sukacheva, S.~I.~Kadchenko, L.~S.~Ryazanova
\paper Computational experiment for a class of mathematical models of magnetohydrodynamics
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\yr 2017
\vol 10
\issue 1
\pages 149--155
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\crossref{https://doi.org/10.14529/mmp170110}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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