arXiv Analytics

Sign in

arXiv:2404.07737 [math.AP]AbstractReferencesReviewsResources

Global regularity of 2D Rayleigh-Bénard equations with logarithmic supercritical dissipation

Baoquan Yuan, Xinyuan Xu, Changhao Li

Published 2024-04-11Version 1

In this paper, we study the global regularity problem for the 2D Rayleigh-B\'{e}nard equations with logarithmic supercritical dissipation. By exploiting a combined quantity of the system, the technique of Littlewood-Paley decomposition and Besov spaces, and some commutator estimates, we establish the global regularity of a strong solution to this equations in the Sobolev space $H^{s}(\mathbb{R}^{2})$ for $s \ge2$.

Comments: 18 pages
Categories: math.AP
Subjects: 35Q35, 76D03, 35B65
Related articles: Most relevant | Search more
arXiv:1212.3227 [math.AP] (Published 2012-12-13)
The 2D incompressible Boussinesq equations with general critical dissipation
arXiv:1709.02347 [math.AP] (Published 2017-09-07)
Local well-posedness of the Hall-MHD system in $H^s(\mathbb {R}^n)$ with $s>\frac n2$
arXiv:2409.11009 [math.AP] (Published 2024-09-17)
Global well-posedness of the MHD boundary layer equation in the Sobolev Space

Links

Toolbox