Interface boundary value problem for the Navier-Stokes equations in thin two-layer domains

DOI10.1016/j.jde.2004.03.023zbMath1078.35084OpenAlexW2018697994MaRDI QIDQ1763675

Andrey M. Rekalo, Igor D. Chueshov, Geneviève Raugel

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jde.2004.03.023

zbMATH Keywords

Navier-Stokes equationsSpectral decompositionInterface conditionsAttractorsGlobal strong solutionsThin domains

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Navier-Stokes equations (35Q30) Meteorology and atmospheric physics (86A10)

Related Items (12)

Incompressible fluids in thin domains with Navier friction boundary conditions. II ⋮ Navier-Stokes equations in 3D thin domains with Navier friction boundary condition ⋮ Navier-Stokes equations with Navier boundary conditions for an oceanic model ⋮ On the interface boundary conditions between two interacting incompressible viscous fluid flows ⋮ Global unique solvability of 3D MHD equations in a thin periodic domain ⋮ Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation ⋮ A basic inequality for the Stokes operator related to the Navier boundary condition ⋮ Random kick-forced 3D Navier-Stokes equations in a thin domain ⋮ Global strong solutions of Navier-Stokes equations with interface boundary in three-dimensional thin domains ⋮ Existence of a global weak solution for a 2D viscous bi-layer shallow water model ⋮ In memoriam: Geneviève Raugel ⋮ Formal derivation of a bilayer model coupling shallow water and Reynolds lubrication equations: evolution of a thin pollutant layer over water

Cites Work

• Asymptotic analysis of the Navier-Stokes equations in thin domains
• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• Asymptotic behavior of solutions of nonlinear parabolic equations on two-layer thin domains
• The primitive equations on the large scale ocean under the small depth hypothesis.
• 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)
• Large-eigenvalue global existence and regularity results for the Navier-Stokes equation
• Global attractors for the three-dimensional Navier-Stokes equations
• A Damped Hyperbolic Equation on Thin Domains
• The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations
• Global attractor of a contact parabolic problem in a thin two-layer domain
• 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
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