Global well-posedness for 2-D Boussinesq system with the temperature-dependent viscosity and supercritical dissipation

Abstract

The present paper is dedicated to the global well-posedness issue for the Boussinesq system with the temperature-dependent viscosity in ${\mathbb{R}}^2.$ We aim at extending the work by Abidi and Zhang ( Adv. Math. 2017 (305) 1202--1249 ) to a supercritical dissipation for temperature.