Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation

DOI10.1016/j.jde.2020.09.022zbMath1454.35288OpenAlexW3089082087MaRDI QIDQ2214705

Suhua Lai, Yueyuan Zhong, Jiahong Wu

Publication date: 10 December 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.09.022

zbMATH Keywords

stabilityBoussinesq equationslarge-time behaviorpartial dissipation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Stability in context of PDEs (35B35) Stratification effects in viscous fluids (76D50) Free convection (76R10) Meteorology and atmospheric physics (86A10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs in connection with geophysics (35Q86)

Related Items (21)

Stabilization and exponential decay for 2D Boussinesq equations with partial dissipation ⋮ Optimal decay for the 3D anisotropic Boussinesq equations near the hydrostatic balance ⋮ Stability and large time behavior for the 2D BMHD system with partial dissipation and thermal damping ⋮ The nontrivial weak solution of Boussinesq system in high dimensions ⋮ Asymptotic stability and sharp decay rates to the linearly stratified Boussinesq equations in horizontally periodic strip domain ⋮ Stability and large time behavior of the 2D Boussinesq equations with mixed partial dissipation near hydrostatic equilibrium ⋮ Stability of 3D perturbations near a special 2D solution to the rotating Boussinesq equations ⋮ Global strong solutions and large-time behavior of 2D tropical climate model ⋮ Stability and algebra decay for 2D Boussinesq system with partial horizontal dissipation and horizontal diffusion ⋮ Feedback control for fluid mixing via advection ⋮ Stability and decay rate of smooth solutions for the 3D Boussinesq equation with partial horizontal dissipation and thermal damping ⋮ Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium ⋮ Stability and asymptotic behavior of the 3D Boussinesq equations with MHD convection ⋮ On 2D incompressible Boussinesq systems: global stabilization under dynamic boundary conditions ⋮ Stability of hydrostatic equilibrium in a uniform magnetic field with mixed partial dissipation ⋮ Optimal decay estimates for 2D Boussinesq equations with partial dissipation ⋮ Stability near hydrostatic equilibrium to the three-dimensional Boussinesq equations with partial dissipation ⋮ Stability of stationary solutions to 2D Boussinesq equations with partial dissipation on a flat strip ⋮ Stability of hydrostatic equilibrium for the 2D BMHD system with partial dissipation ⋮ Stability and optimal decay for a system of 3D anisotropic Boussinesq equations ⋮ Stratified Boussinesq equations with a velocity damping term

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