In this paper we study the equations describing the thermal convection in an incompressible viscous electrically conducting micropolar fluid in the presence of a magnetic field, taking into account the effect of Hall current. The system is a combination of the generalized magnetic induction, the equations of micropolar fluids and the temperature equation. We prove long-time and large-data existence of a weak solution with decreasing energy to the system posed in a bounded domain of R3 and equipped with initial and boundary conditions.
Publié le : 2014-07-04
Classification:
Micropolar fluids,
magnetohydrodynamic flow,
Hall current,
thermal convection,
global weak solutions,
existence,
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00960826,
author = {Amirat, Youcef and Hamdache, Kamel},
title = {Global weak solutions to the equations of thermal convection in micropolar fluids subjected to Hall current},
journal = {HAL},
volume = {2014},
number = {0},
year = {2014},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00960826}
}
Amirat, Youcef; Hamdache, Kamel. Global weak solutions to the equations of thermal convection in micropolar fluids subjected to Hall current. HAL, Tome 2014 (2014) no. 0, . http://gdmltest.u-ga.fr/item/hal-00960826/