Stability and large time behavior of the 2D Boussinesq equations with velocity supercritical dissipation

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs in connection with geophysics (35Q86)

Cites Work

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Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation
Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics
Global regularity results for the 2D Boussinesq equations with vertical dissipation
Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
Global well-posedness of the viscous Boussinesq equations
Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion
A global regularity result for the 2D Boussinesq equations with critical dissipation
Optimal decay estimates for 2D Boussinesq equations with partial dissipation
Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion
Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation
Stability of Couette flow for 2D Boussinesq system with vertical dissipation
On the Cauchy problem of compressible full Hall-MHD equations
The 2D Boussinesq equations with vertical dissipation and linear stability of shear flows
Well-posedness of the Cauchy problem for the fractional power dissipative equations
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
Stability and large time behavior of the 2D Boussinesq equations with mixed partial dissipation near hydrostatic equilibrium
Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
Commutator estimates and the euler and navier-stokes equations
Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation
The 2D Boussinesq-Navier-Stokes equations with logarithmically supercritical dissipation

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