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On steady state of viscous compressible heat conducting full magnetohydrodynamic equations.
- Source :
-
Boundary Value Problems . 6/5/2024, Vol. 2024 Issue 1, p1-28. 28p. - Publication Year :
- 2024
-
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]
- Subjects :
- *NONLINEAR operators
*SOBOLEV spaces
*ADVECTION
*GRAVITATION
*HEAT flux
Subjects
Details
- Language :
- English
- ISSN :
- 16872762
- Volume :
- 2024
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Boundary Value Problems
- Publication Type :
- Academic Journal
- Accession number :
- 177714693
- Full Text :
- https://doi.org/10.1186/s13661-024-01869-9