an:07144648
Zbl 1431.35142
Ye, Zhuan
An alternative approach to global regularity for the 2D Euler-Boussinesq equations with critical dissipation
EN
Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111591, 5 p. (2020).
00443451
2020
j
35Q35 35B65 76D03 35R11
Boussinesq equations; global regularity
Summary: The purpose of this paper is to provide an alternative approach to the global regularity for the two-dimensional Euler-Boussinesq equations which couple the incompressible Euler equation for the velocity and a transport equation with fractional critical diffusion for the temperature. In contrast to the first proof of this result in [\textit{T. Hmidi} et al., Commun. Partial Differ. Equations 36, No. 1--3, 420--445 (2011; Zbl 1284.76089)] that took fully exploit of the hidden structure of the coupling system, the main argument in this manuscript is mainly based on the differentiability of the drift-diffusion equation.
Zbl 1284.76089