Global strong solutions of Navier-Stokes equations with interface boundary in three-dimensional thin domains

DOI10.1016/j.na.2011.03.023zbMath1231.35147OpenAlexW2003279722MaRDI QIDQ544163

Changbing Hu

Publication date: 14 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.03.023

zbMATH Keywords

Navier-Stokes equationsthin domainsglobal strong solutionsinterface boundary condition

Mathematics Subject Classification ID

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

Related Items (3)

Incompressible fluids in thin domains with Navier friction boundary conditions. II ⋮ A class of large \(BMO^{-1}\) non-oscillatory data for the Navier-Stokes equations ⋮ Unnamed Item

Cites Work

• Navier-Stokes equations in 3D thin domains with Navier friction boundary condition
• A basic inequality for the Stokes operator related to the Navier boundary condition
• 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
• Mathematical theory for the coupled atmosphere-ocean models (CAO III)
• Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
• 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
• Global attractor of a contact parabolic problem in a thin two-layer domain
• Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
• Navier-Stokes equations in thin 3D domains with Navier boundary conditions
• Some results on the Navier-Stokes equations in thin 3D domains
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