On the regularity for the Boussinesq equations in a bounded domain
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Publication:5407647
DOI10.1063/1.4817595zbMath1293.35246OpenAlexW2014477815MaRDI QIDQ5407647
Igor Kukavica, Weiwei Hu, Mohammed Ziane
Publication date: 7 April 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4817595
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (39)
Global regularity and long-time behavior of the solutions to the 2D Boussinesq equations without diffusivity in a bounded domain ⋮ Global well-posedness of the 2D Boussinesq equations with vertical dissipation ⋮ The global attractor of the 2D Boussinesq system with fractional vertical dissipation ⋮ Persistence of global well-posedness for the 2D Boussinesq equations with fractional dissipation ⋮ Boundary Control for Optimal Mixing via Navier--Stokes Flows ⋮ Global well-posedness of the 2D Boussinesq equations with partial dissipation ⋮ Global regularity of the two-dimensional Boussinesq equations without diffusivity in bounded domains ⋮ The global attractor of the 2D Boussinesq equations with fractional Laplacian in subcritical case ⋮ Global well-posedness for the 2D Boussinesq equations with zero viscosity ⋮ Global well-posedness for the 2D Cahn-Hilliard-Boussinesq and a related system on bounded domains ⋮ Asymptotic stability of the 2D Boussinesq equations without thermal conduction ⋮ Boundary control for optimal mixing by Stokes flows ⋮ Persistence of global well-posedness for the two dimensional Boussinesq system with non-homogeneous boundary ⋮ On the degenerate Boussinesq equations on surfaces ⋮ Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion ⋮ Asymptotic stability and sharp decay rates to the linearly stratified Boussinesq equations in horizontally periodic strip domain ⋮ Feedback control for fluid mixing via advection ⋮ Conditions of boundary layer separation for Boussinesq equations ⋮ Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions ⋮ Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium ⋮ An approximating control design for optimal mixing by Stokes flows ⋮ 2D Voigt Boussinesq equations ⋮ Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity ⋮ Global regularity for a two-dimensional nonlinear Boussinesq system ⋮ The Littlewood–Paley decomposition for periodic functions and applications to the Boussinesq equations ⋮ Boundary layer analysis for Navier-slip Rayleigh-Bénard convection: the non-existence of an ultimate state ⋮ On the existence of long-time classical solutions for the 2D inviscid Boussinesq equations ⋮ On the attractor for the semi-dissipative Boussinesq equations ⋮ Partially dissipative 2D Boussinesq equations with Navier type boundary conditions ⋮ Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion ⋮ On the local well-posedness and a Prodi-Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion ⋮ An approximating approach for boundary control of optimal mixing via Navier-Stokes flows ⋮ On the global stability of large solutions for the Boussinesq equations with Navier boundary conditions ⋮ On stability of Boussinesq equations without thermal conduction ⋮ The 2D inviscid Boussinesq equations with fractional diffusion in bounded domain ⋮ The 2D Euler-Boussinesq equations in planar polygonal domains with Yudovich's type data ⋮ Large time dynamics of 2D semi-dissipative Boussinesq equations ⋮ On asymptotic stability of the 3D Boussinesq equations with a velocity damping term ⋮ Continuous data assimilation for the 2D Bénard convection through velocity measurements alone
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