Geodesic
Computational experiment for a class of mathematical models of magnetohydrodynamics
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 10 (2017) no. 1, pp. 149-155

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{VYURU_2017_10_1_a9,
     author = {A. O. Kondyukov and T. G. Sukacheva and S. I. Kadchenko and L. S. Ryazanova},
     title = {Computational experiment for a class of mathematical models of magnetohydrodynamics},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {149--155},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2017_10_1_a9/}
}
TY  - JOUR
AU  - A. O. Kondyukov
AU  - T. G. Sukacheva
AU  - S. I. Kadchenko
AU  - L. S. Ryazanova
TI  - Computational experiment for a class of mathematical models of magnetohydrodynamics
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
PY  - 2017
SP  - 149
EP  - 155
VL  - 10
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VYURU_2017_10_1_a9/
LA  - en
ID  - VYURU_2017_10_1_a9
ER  - 
%0 Journal Article
%A A. O. Kondyukov
%A T. G. Sukacheva
%A S. I. Kadchenko
%A L. S. Ryazanova
%T Computational experiment for a class of mathematical models of magnetohydrodynamics
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
%D 2017
%P 149-155
%V 10
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VYURU_2017_10_1_a9/
%G en
%F VYURU_2017_10_1_a9
A. O. Kondyukov; T. G. Sukacheva; S. I. Kadchenko; L. S. Ryazanova. Computational experiment for a class of mathematical models of magnetohydrodynamics. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 10 (2017) no. 1, pp. 149-155. http://geodesic.mathdoc.fr/item/VYURU_2017_10_1_a9/