Abstract:Abstract:The influence of the magnetic field on the heat convection is an important issue in various industrial productions. The mathematical formulation of such viscous magneto hydrodynamic fluid is given by the magnetic Bénard system. We here show the existence of attractors, which is finite dimensional and characterize the long time dynamics of the system. Furthermore, we estimate their dimensions in terms of the magnetic components as controlling parameters.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.