A convective boundary condition for the Navier-Stokes equations

DOI10.1016/j.aml.2021.107876OpenAlexW4200464288MaRDI QIDQ2077075

John Sebastian Simon, Hirofumi Notsu

Publication date: 22 February 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107876

zbMATH Keywords

existenceNavier-Stokes equationsuniquenessconvective boundary condition

Mathematics Subject Classification ID

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

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Uses Software

• FreeFem++

Cites Work

• The Navier-Stokes equations under a unilateral boundary condition of Signorini's type
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• Modified Navier-Stokes equations for the outflow boundary conditions in hemodynamics
• In-flow and out-flow problem for the Stokes system
• Outflow boundary conditions for the incompressible non-homogeneous Navier-Stokes equations
• On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations
• Finite Element Methods for Navier-Stokes Equations
• New development in freefem++
• ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
• New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result
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