Some remarks on the boundary conditions in the theory of Navier-Stokes equations

DOI10.5802/ambp.321zbMath1293.35232OpenAlexW2900064067MaRDI QIDQ2452093

Nour El Houda Seloula, Chérif Amrouche, Patrick Penel

Publication date: 30 May 2014

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/ambp.321

zbMATH Keywords

Navier-Stokes equationsboundary conditionsweak solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

Related Items (11)

Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatments ⋮ One problem of the Navier type for the Stokes system in planar domains ⋮ One Navier's problem for the Brinkman system ⋮ The role of boundary conditions in scaling laws for turbulent heat transport ⋮ Boundary control problem for heat convection equations with slip boundary condition ⋮ Optimal boundary control for the stationary Boussinesq equations with variable density ⋮ Several non-standard problems for the stationary Stokes system ⋮ Semi-group theory for the Stokes operator with Navier-type boundary conditions on \(L^{p}\)-spaces ⋮ Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type ⋮ Bilinear optimal control problem for the stationary Navier-Stokes equations with variable density and slip boundary condition ⋮ Equatorial wave-current interactions

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