Stability and optimal decay for the 3D Navier-Stokes equations with horizontal dissipation

DOI10.1016/j.jde.2021.04.026zbMath1471.35233OpenAlexW3159904078MaRDI QIDQ2034001

Jiahong Wu, Wanrong Yang, Rui Hong Ji

Publication date: 18 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.jde.2021.04.026

zbMATH Keywords

stabilityNavier-Stokes equationpartial dissipationsharp decay rates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (12)

Optimal decay for the 3D anisotropic Boussinesq equations near the hydrostatic balance ⋮ Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations ⋮ Large time behavior of solutions to the 3D anisotropic Navier-Stokes equation ⋮ Stability and sharp decay for 3D incompressible MHD system with fractional horizontal dissipation and magnetic diffusion ⋮ 3D anisotropic Navier–Stokes equations in T2×R  : stability and large-time behaviour ⋮ Decay for the 3D anisotropic MHD-Boussinesq equations near the hydrostatic equilibrium ⋮ Sharp decay estimates for 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion ⋮ Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation ⋮ Large time behavior of the solutions to 3D incompressible MHD system with horizontal dissipation or horizontal magnetic diffusion ⋮ Large time behavior for the Hall-MHD equations with horizontal dissipation ⋮ Stability of the 3D incompressible Navier-Stokes equations with fractional horizontal dissipation ⋮ Stability and large time decay for the three-dimensional anisotropic magnetohydrodynamic equations

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