Abstract
In this paper, we deal with the Cauchy problem of the two-dimensional magnetic Benard problem with mixed partial viscosity. More precisely, the global well-posedness of 2D magnetic Benard problem without thermal diffusivity and with vertical or horizontal magnetic diffusion is obtained. Moreover, the global regularity and some conditional regularity of strong solutions are obtained for 2D magnetic Benard problem with mixed partial viscosity. The results extend the recent work (Appl Math Letter 26:627–630, 2013) on the global regularity of the magnetic Benard problem with full dissipation and magnetic diffusion in two dimensions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
