Shallow water model for lakes with friction and penetration

DOI10.1002/mma.1185zbMath1200.35210OpenAlexW2044962590WikidataQ57622074 ScholiaQ57622074MaRDI QIDQ3553732

Nikolai V. Chemetov, Fernanda Cipriano, Sergey L. Gavrilyuk

Publication date: 21 April 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1185

zbMATH Keywords

solvabilityvortex flowsexistence of general solutionsviscous-inviscous interaction

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Navier-Stokes equations (35Q30)

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Cites Work

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• Whitney’s example by way of Assouad’s embedding
• Nonlinear shear instabilities of alongshore currents on plane beaches
• Steady solutions of the Navier–Stokes equations with threshold slip boundary conditions
• On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition
• Navier--Stokes Equations with Navier Boundary Conditions for a Bounded Domain in the Plane
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation

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