Abstract

In this paper, we consider regularity criterion for solutions to the 3D viscous incompressible MHD equations in Morrey–Campanato spaces. It is proved that if the vorticity field ω = ∇ × u belongs to M ̇ 2 , 3 r for 0 < r ≤ 1 on [ 0 , T ] , then the solution remains smooth on [ 0 , T ] .

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 call

Disclaimer: 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.