Navier-Stokes equations in 3D thin domains with Navier friction boundary condition

DOI10.1016/j.jde.2007.02.001zbMath1130.35103OpenAlexW1992200257MaRDI QIDQ879377

Changbing Hu

Publication date: 11 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2007.02.001

zbMATH Keywords

global existence of strong solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Navier-Stokes equations (35Q30)

Related Items (8)

Incompressible fluids in thin domains with Navier friction boundary conditions. II ⋮ Exponential decay and regularity of global solutions for the 3D Navier-Stokes equations posed on Lipschitz and smooth domains ⋮ Navier-Stokes equations in a curved thin domain. II: Global existence of a strong solution ⋮ Global unique solvability of 3D MHD equations in a thin periodic domain ⋮ Global strong solutions of Navier-Stokes equations with interface boundary in three-dimensional thin domains ⋮ Navier-Stokes equations in a curved thin domain. III: Thin-film limit ⋮ On some new exact solutions of incompressible steady state Navier-Stokes equations ⋮ Unnamed Item

Cites Work

• Asymptotic analysis of the Navier-Stokes equations in thin domains
• The resolution of the Navier-Stokes equations in anisotropic spaces
• Interface boundary value problem for the Navier-Stokes equations in thin two-layer domains
• Reaction-diffusion equation on thin domains
• Navier-Stokes equations in three-dimensional thin domains with various boundary conditions
• New formulations of the primitive equations of atmosphere and applications
• A Damped Hyperbolic Equation on Thin Domains
• On the equations of the large-scale ocean
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
• Some results on the Navier-Stokes equations in thin 3D domains
• On the roughness-induced effective boundary conditions for an incompressible viscous flow
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