The decay and stability of solutions for the 3D density-dependent incompressible Boussinesq system

Abstract

This paper deals with stability and the large-time decay to any given global smooth solutions of the 3D density-dependent incompressible Boussinesq system. The decay rate for solutions of the corresponding Cauchy problem is obtained in this work. With the aid of this decay rate, it is shown that a small perturbation of initial data $({\overline{a}}_0,{\overline{\theta }}_0,{\overline{u}}_0)$ still generates a global smooth solution to the density-dependent Boussinesq system, and this solution keeps close to the reference solution.

References in corpus (2)

• Global large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable
• Optimal well-posedness for the inhomogeneous incompressible Navier-Stokes system with general viscosity