On hydrostatic free surface problems

DOI10.1007/s00021-009-0002-5zbMath1270.76010OpenAlexW2027220549MaRDI QIDQ361105

Michael Renardy

Publication date: 28 August 2013

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-009-0002-5

zbMATH Keywords

well posednesshydrostatic approximationfree surface flow

Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (5)

Kelvin-Helmholtz instability with a free surface ⋮ On free surfaces in hydrostatic flows ⋮ On the \(H ^{s }\) theory of hydrostatic Euler equations ⋮ Well-posedness of the hydrostatic MHD equations ⋮ Local existence of solutions to the free boundary value problem for the primitive equations of the ocean

Cites Work

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• Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations
• Homogeneous hydrostatic flows with convex velocity profiles
• Blowup of solutions of the unsteady Prandtl's equation
• Breakup of Liquid Sheets and Jets
• On the derivation of homogeneous hydrostatic equations
• On the mathematical theory of boundary layer for an unsteady flow of incompressible fluid

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