Solutions to the mixed problem of viscous incompressible flows in a channel

DOI10.1007/s00013-009-0040-5zbMath1181.35168OpenAlexW1985481125MaRDI QIDQ1038687

Michal Beneš

Publication date: 20 November 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-009-0040-5

zbMATH Keywords

Stokes and Navier-Stokes equationslocal existence of solutions (near a given solution)qualitative behavior of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (9)

On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes ⋮ On existence and uniqueness of solutions to a Boussinesq system with nonlinear and mixed boundary conditions ⋮ Strong solutions to non-stationary channel flows of heat-conducting viscous incompressible fluids with dissipative heating ⋮ Some properties on the surfaces of vector fields and its application to the Stokes and Navier-Stokes problems with mixed boundary conditions ⋮ A note on regularity and uniqueness of natural convection with effects of viscous dissipation in 3D open channels ⋮ Unnamed Item ⋮ Equatorial wave-current interactions ⋮ On the Navier-Stokes flows for heat-conducting fluids with mixed boundary conditions ⋮ The ``do nothing problem for Boussinesq fluids

Cites Work

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• A weak solvability of a steady variational inequality of the Navier-Stokes type with mixed boundary conditions.
• Hemodynamical flows. Modeling, analysis and simulation. Papers based on the presentations at the Oberwolfach seminar `Hemodynamical flows: Aspects of modeling, analysis and simulation', Oberwolfach, Germany, November 20--26, 2005.
• ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

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