Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium

K Kang, J Lee, DD Nguyen - arXiv preprint arXiv:2306.08286, 2023 - arxiv.org
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 …

Large time behaviour of the 2D thermally non-diffusive Boussinesq equations with Navier-slip boundary conditions

F Bleitner, E Carlson, C Nobili - arXiv preprint arXiv:2309.05400, 2023 - arxiv.org
The goal of this paper is to study the large-time bahaviour of a buoyancy driven fluid without
thermal diffusion and Navier-slip boundary conditions in a bounded domain with Lipschitz …

Global Attractors for the Three-Dimensional Tropical Climate Model with Damping Terms

R Mao, H Liu, F Miao, J Xin - Bulletin of the Malaysian Mathematical …, 2024 - Springer
In this paper, we consider the 3D tropical climate model with damping terms in the equation
of u, v and θ, respectively. Firstly, we get some uniform estimates of strong solution …

Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium

K Kang, J Lee, DD Nguyen - Journal of Differential Equations, 2024 - Elsevier
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 …

Global existence and Rayleigh-Taylor instability for the semi-dissipative Boussinesq system with Naiver boundary conditions

H Di, L Li, X Peng, Q Wang - arXiv preprint arXiv:2405.16074, 2024 - arxiv.org
Considered herein is the global existence of weak, strong solutions and Rayleigh-Taylor
(RT) instability for 2D semi-dissipative Boussinesq equations in an infinite strip domain …

Asymptotics for the semi-dissipative 2D Boussinesq system

J He, J Wang, Y Zhao - Journal of Mathematical Physics, 2024 - pubs.aip.org
In this article, we consider the convergence from the semi-dissipative 2D Boussinesq
equations to the 2D Navier–Stokes equations in some sense. When the temperature …