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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
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
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
Linking options:
https://www.mathnet.ru/eng/vyuru364 https://www.mathnet.ru/eng/vyuru/v10/i1/p149
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