On the nature of boundary conditions for flows with moving free surfaces

DOI10.1016/0021-9991(91)90186-OzbMath1415.76143OpenAlexW2052242925MaRDI QIDQ5918157

Yuriko Yamamuro Renardy, Michael Renardy

Publication date: 28 June 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(91)90186-o

zbMATH Keywords

boundary conditionswell-posednessStokes equationsmoving free surfaceperturbation of plane parallel flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Uses Software

• FIDAP

Cites Work

• Corner singularities between free surfaces and open boundaries
• Free surface of the steady flow of a Newtonian fluid in a finite channel
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