Solvability of Navier-Stokes equations with leak boundary conditions

DOI10.1007/s10255-007-7055-0zbMath1180.35404OpenAlexW2003038326MaRDI QIDQ844053

Rong An, Kai-Tai Li, Yuan Li

Publication date: 18 January 2010

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-007-7055-0

zbMATH Keywords

variational inequalitiesNavier-Stokes equationssolvabilitycontinuous dependenceleak boundary conditions

Mathematics Subject Classification ID

Variational inequalities (49J40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Weak solutions to PDEs (35D30)

Related Items (11)

Steady flow with unilateral and leak/slip boundary conditions by the Stokes variational–hemivariational inequality ⋮ Numerical methods for the Stokes and Navier-Stokes equations driven by threshold slip boundary conditions ⋮ Constrained evolutionary variational-hemivariational inequalities with application to fluid flow model ⋮ A new class of variational‐hemivariational inequalities for steady Oseen flow with unilateral and frictional type boundary conditions ⋮ On a finite element approximation of the Stokes equations under a slip boundary condition of the friction type ⋮ Some properties on the surfaces of vector fields and its application to the Stokes and Navier-Stokes problems with mixed boundary conditions ⋮ Physical models for flow: acoustic interaction ⋮ Two-level variational multiscale finite element methods for Navier-Stokes type variational inequality problem ⋮ A new class of elliptic quasi-variational-hemivariational inequalities for fluid flow with mixed boundary conditions ⋮ Two-Level Defect-Correction Method for Steady Navier-Stokes Problem with Friction Boundary Conditions ⋮ Equatorial wave-current interactions

Cites Work

• Variational inequalities for an operator of Navier-Stokes type, and one-sided problems for equations of a viscous heat-conducting fluid.
• A coherent analysis of Stokes flows under boundary conditions of friction type
• On the Stokes equation with the leak and slip boundary conditions of friction type: regularity of solutions
• An Introduction to Variational Inequalities and Their Applications
• ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
• Subdifferential boundary value problems for the nonstationary Navier-Stokes equations
• Solvability of a mixed boundary value problem for the stationary Navier-Stokes equations
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