On asymptotic properties of the Boussinesq equations

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)

Cites Work

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On the attractor for the semi-dissipative Boussinesq equations
Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media
Global regularity results for the 2D Boussinesq equations with vertical dissipation
On the Boussinesq system: regularity criteria and singular limits
Initial-boundary value problem for two-dimensional viscous Boussinesq equations
Global regularity results for the 2D Boussinesq equations with partial dissipation
Ordinary differential equations, transport theory and Sobolev spaces
On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity
Long-time asymptotic behavior of two-dimensional dissipative Boussinesq systems
Abstract $L^ p$ estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
On the global regularity of the 2D critical Boussinesq system with $\alpha > 2/3$
Global well-posedness of the viscous Boussinesq equations
Partially dissipative 2D Boussinesq equations with Navier type boundary conditions
Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion
A global regularity result for the 2D Boussinesq equations with critical dissipation
Finite time blowup of 2D Boussinesq and 3D Euler equations with $C^{1, \alpha}$ velocity and boundary
Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity
An approximating approach for boundary control of optimal mixing via Navier-Stokes flows
Global regularity and long-time behavior of the solutions to the 2D Boussinesq equations without diffusivity in a bounded domain
Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
Global regularity for the 2D Boussinesq equations with partial viscosity terms
Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
Finite-time singularity formation for strong solutions to the Boussinesq system
Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
Large time decay and growth for solutions of a viscous Boussinesq system
Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
On the global well-posedness of the Boussinesq system with zero viscosity
Les théorèmes de Leray et de Fujita-Kato pour le système de Boussinesq partiellement visqueux
Local existence and blow-up criterion for the Boussinesq equations
The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation
Persistence of regularity for the viscous Boussinesq equations with zero diffusivity
On the regularity for the Boussinesq equations in a bounded domain
Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity
Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces
Asymptotic stability and sharp decay rates to the linearly stratified Boussinesq equations in horizontally periodic strip domain
Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions
On stability and instability of $C^{1,\alpha}$ singular solutions to the 3D Euler and 2D Boussinesq equations

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