Smoothing estimates of 2d incompressible Navier-Stokes equations in bounded domains with applications

DOI10.1016/j.jfa.2012.01.017zbMath1234.35180OpenAlexW2094712512MaRDI QIDQ408153

Ling-Bing He

Publication date: 29 March 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2012.01.017

zbMATH Keywords

Navier-Stokes equationsmoothing estimatesBrezis-Waigner inequalityuniqueness of weak solution

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (21)

Global regularity and long-time behavior of the solutions to the 2D Boussinesq equations without diffusivity in a bounded domain ⋮ Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion ⋮ Global regularity of the two-dimensional Boussinesq equations without diffusivity in bounded domains ⋮ Global well-posedness for the 2D Boussinesq equations with zero viscosity ⋮ Asymptotic stability of the 2D Boussinesq equations without thermal conduction ⋮ Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion ⋮ Well-posedness and attractors for a 2D Boussinesq system with partial dissipation ⋮ Asymptotics for the semi-dissipative 2D Boussinesq system ⋮ Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium ⋮ Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation ⋮ Global persistence of geometrical structures for the Boussinesq equation with no diffusion ⋮ The Littlewood–Paley decomposition for periodic functions and applications to the Boussinesq equations ⋮ On the regularity for the Boussinesq equations in a bounded domain ⋮ Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion ⋮ Global well-posedness of strong solutions to the 2D nonhomogeneous incompressible primitive equations with vacuum ⋮ On stability of Boussinesq equations without thermal conduction ⋮ Global well-posedness of the \(n\)-dimensional hyper-dissipative Boussinesq system without thermal diffusivity ⋮ Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation ⋮ The 2D inviscid Boussinesq equations with fractional diffusion in bounded domain ⋮ The stabilizing effect of the temperature on buoyancy-driven fluids ⋮ On asymptotic stability of the 3D Boussinesq equations with a velocity damping term

Cites Work

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