Equations of magnetodynamics of incompressible thermo-Bingham's fluid under the gravity effect.

Details Equations of magnetodynamics of incompressible thermo-Bingham's fluid under the gravity effect. Equations of magnetodynamics of incompressible thermo-Bingham's fluid under the gravity effect.

Apr 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jcoam..59..109n&link_type=abstract

J. Comput. Appl. Math., Vol. 59, No. 1, p. 109 - 128

Astronomy and Astrophysics

Astrophysics

Geomagnetic Field: Models, Fluid Dynamics: Astrophysics

Scientific paper

The results of the paper were obtained in the course of an investigation of a simple model problem of the global geodynamic and geomagnetic fields of the real Earth as well as model problem of astrophysics. The problem leads to an initial boundary value problem for a coupled system of equations of magnetodynamics of incompressible, electrically conducting and thermo viscous Bingham's fluid under the effect of gravity. The variational formulation of the problem and the existence and uniqueness of the solution is given. While the existence of the solution is proved for the two- and three-dimensional cases, the uniqueness can be proved for two-dimensional case only.

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