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Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion
This paper furthers our studies on the stability problem for perturbations near hydrostatic
equilibrium of the 2D Boussinesq equations without thermal diffusion and solves some of the …
equilibrium of the 2D Boussinesq equations without thermal diffusion and solves some of the …
Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion
We study the global well-posedness and stability/instability of perturbations near a special
type of hydrostatic equilibrium associated with the 2D Boussinesq equations without …
type of hydrostatic equilibrium associated with the 2D Boussinesq equations without …
Continuous data assimilation for the 2D Bénard convection through velocity measurements alone
An algorithm for continuous data assimilation for the two-dimensional Bénard convection
problem is introduced and analyzed. It is inspired by the data assimilation algorithm …
problem is introduced and analyzed. It is inspired by the data assimilation algorithm …
Global well-posedness of the 2D Boussinesq equations with vertical dissipation
We prove the global well-posedness of the two-dimensional Boussinesq equations with only
vertical dissipation. The initial data (u_0,\theta_0)(u 0, θ 0) are required to be only in the …
vertical dissipation. The initial data (u_0,\theta_0)(u 0, θ 0) are required to be only in the …
Small scale formation for the 2D Boussinesq equation
We study the 2D incompressible Boussinesq equation without thermal diffusion, and aim to
construct rigorous examples of small scale formations as time goes to infinity. In the viscous …
construct rigorous examples of small scale formations as time goes to infinity. In the viscous …
[HTML][HTML] On the local well-posedness and a Prodi–Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion
Abstract We prove a Prodi–Serrin-type global regularity condition for the three-dimensional
Magnetohydrodynamic-Boussinesq system (3D MHD-Boussinesq) without thermal diffusion …
Magnetohydrodynamic-Boussinesq system (3D MHD-Boussinesq) without thermal diffusion …
Asymptotic stability of the 2D Boussinesq equations without thermal conduction
L Dong, Y Sun - Journal of Differential Equations, 2022 - Elsevier
The paper is concerned with asymptotic stability of certain stationary solution to Boussinesq
equations without thermal conduction in the infinite flat strip Ω= R×(0, 1). It is shown that the …
equations without thermal conduction in the infinite flat strip Ω= R×(0, 1). It is shown that the …
Persistence of regularity for the viscous Boussinesq equations with zero diffusivity
We address the global regularity for the 2D Boussinesq equations with positive viscosity and
zero diffusivity. We prove that for data (u 0, ρ 0) in H s× H s− 1, where 1< s< 2, the …
zero diffusivity. We prove that for data (u 0, ρ 0) in H s× H s− 1, where 1< s< 2, the …
Partially dissipative 2D Boussinesq equations with Navier type boundary conditions
This paper concerns itself with two systems of the 2D Boussinesq equations with partial
dissipation in bounded domains with the Navier type boundary conditions. We attempt to …
dissipation in bounded domains with the Navier type boundary conditions. We attempt to …
Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium
The paper is devoted to investigating the well-posedness, stability and large-time behavior
near the hydrostatic balance for the 2D Boussinesq equations with partial dissipation. More …
near the hydrostatic balance for the 2D Boussinesq equations with partial dissipation. More …