Hydrostatic limit of the Navier-Stokes-alpha model

DOI10.1007/s10473-023-0502-zzbMath1524.35435arXiv2110.01248MaRDI QIDQ6171217

Léo Glangetas, El Mehdi Said, Van-Sang Ngo

Publication date: 17 July 2023

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.01248

zbMATH Keywords

analyticityhydrostatic approximationmodelNavier-Stokes-\(\alpha\)

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

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• Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain
• Global regularity for some classes of large solutions to the Navier-Stokes equations
• On the hydrostatic approximation of the Navier-Stokes equations in a thin strip
• Ill-posedness of the hydrostatic Euler and Navier-Stokes equations
• A shallow water equation as a geodesic flow on the Bott-Virasoro group
• On \(\alpha\) Navier-Stokes equations on a bounded domain
• Boundary layer for the Navier-Stokes-alpha model of fluid turbulence
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• Well-posedness of the hydrostatic Navier-Stokes equations
• Well-posedness of the Prandtl equations without any structural assumption
• Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
• Fourier Analysis and Nonlinear Partial Differential Equations
• On the equations of the large-scale ocean
• Validity of the Quasigeostrophic Model for Large-Scale Flow in the Atmosphere and Ocean
• An integrable shallow water equation with peaked solitons
• Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
• Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
• The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
• Well‐Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption
• Well-posedness of the Prandtl equation in Sobolev spaces
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory

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