On the Global Existence of Strong Solution to the 3D Damped Boussinesq Equations with Zero Thermal Diffusion

Abstract

In this note we establish the regularity and uniqueness for the three-dimensional incompressible damped Boussinesq equations with zero thermal diffusion.

Global existence of classical solutions to the two-dimensional compressible Boussinesq equations in a square domain

“…Global well-posedness with fractional partial dissipation can be found in recent works [2,14,30,39,41,44]. For local and global theories of solutions in a three-dimensional space, we refer to [3,4,12,16,23,26,29,36,38] and the references cited therein.…”

Global existence and exponential decay of strong solutions for the three-dimensional Boussinesq equations

“…In 2017, Ye [15] proved global existence of smooth solution to a modified Boussinesq model without thermal diffusion. In 2018, Wen and Ye [14] established the regularity and uniqueness of strong solution for the damped Boussinesq equations with zero thermal diffusion. Global well-posedness with fractional partial dissipation can be found in a recent work [16].…”