1. On steady state of viscous compressible heat conducting full magnetohydrodynamic equations.
- Author
-
Azouz, Mohamed, Benabidallah, Rachid, and Ebobisse, François
- Subjects
- *
NONLINEAR operators , *SOBOLEV spaces , *ADVECTION , *GRAVITATION , *HEAT flux - Abstract
This paper is concerned with the study of equations of viscous compressible and heat-conducting full magnetohydrodynamic (MHD) steady flows in a horizontal layer under the gravitational force and a large temperature gradient across the layer. We assume as boundary conditions, periodic conditions in the horizontal directions, while in the vertical directions, slip-boundary is assumed for the velocity, vertical conditions for the magnetic field, and fixed temperature or fixed heat flux are prescribed for the temperature. The existence of stationary solution in a small neighborhood of a stationary profile close to hydrostatic state is obtained in Sobolev spaces as a fixed point of some nonlinear operator. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF