Global Well-Posedness for thed-Dimensional Magnetic Bénard Problem without Thermal Diffusion

This paper focuses on the global existence of strong solutions to the magnetic Bénard problem with fractional dissipation and without thermal diffusion in ℝ d with d ≥ 3 . By using the energy method and the regularization of generalized heat operators, we obtain the global regularity for this model under minimal amount dissipation.