Abstract
This is a remark that by using an adaptation of the technique invented by A. Kiselev, F. Nazarov, and A. Volberg, with a modified scaling argument, we can prove global regularity of the critical 2-D dissipative quasi-geostrophic equation with smooth periodic force, under the assumption that the initial data is smooth and periodic, and the force is bounded in space and time, and α-Hölder continuous in space, α>0. In particular, this improves the assumptions on both the initial data and the force in the result by S. Friedlander, N. Pavlovic, and V. Vicol.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.