On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition
From MaRDI portal
Publication:5317376
DOI10.1137/S0036141003432341zbMath1084.35060arXivmath/0307295MaRDI QIDQ5317376
Gabriela Planas, Helena J. Nussenzveig Lopes, Milton da Costa Lopes Filho
Publication date: 16 September 2005
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0307295
Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30)
Related Items
Well-posedness of stochastic second grade fluids ⋮ Global Controllability of the Boussinesq System with Navier-Slip-with-Friction and Robin Boundary Conditions ⋮ Couches Limites: Un Problème Inverse ⋮ Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows ⋮ Incompressible flow around a small obstacle and the vanishing viscosity limit ⋮ Boundary Control for Optimal Mixing via Navier--Stokes Flows ⋮ Degenerate lake equations: classical solutions and vanishing viscosity limit ⋮ On solution to the Navier-Stokes equations with Navier slip boundary condition for three dimensional incompressible fluid ⋮ Vortex sheets with reflection symmetry in exterior domains ⋮ Viscosity effect on the degenerate lake equations ⋮ Concerning the \(W^{k,p}\)-inviscid limit for 3-D flows under a slip boundary condition ⋮ Kinetic-energy instability of flows with slip boundary conditions ⋮ Boundary control for optimal mixing by Stokes flows ⋮ On the asymptotic behaviour and stochastic stabilization of second grade fluids ⋮ The inviscid limit for the Navier-Stokes equations with slip condition on permeable walls ⋮ Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition ⋮ Initial-boundary layer associated with the nonlinear Darcy-Brinkman-Oberbeck-Boussinesq system ⋮ Approximation of 2D Euler equations by the second-grade fluid equations with Dirichlet boundary conditions ⋮ Viscous-inviscid interactions in a boundary-layer flow induced by a vortex array ⋮ Vanishing viscosity limit for incompressible Navier-Stokes equations with Navier boundary conditions for small slip length ⋮ Remarks on the emergence of weak Euler solutions in the vanishing viscosity limit ⋮ A survey on some vanishing viscosity limit results ⋮ On the convergence of the two-dimensional second grade fluid model to the Navier-Stokes equation ⋮ Reducing slip boundary value problems from the half to the whole space. Applications to inviscid limits and to non-Newtonian fluids ⋮ Vanishing viscosity limits for the free boundary problem of compressible viscoelastic fluids with surface tension ⋮ An approximating control design for optimal mixing by Stokes flows ⋮ Boundary layer for a class of nonlinear pipe flow ⋮ The role of boundary conditions in scaling laws for turbulent heat transport ⋮ Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation ⋮ Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media ⋮ The inviscid limit and stability of characteristic boundary layers for the compressible Navier-Stokes equations with Navier-friction boundary conditions ⋮ Boundary layer analysis of the Navier-Stokes equations with generalized Navier boundary conditions ⋮ Inviscid limit for vortex patches in a bounded domain ⋮ Incompressible Euler as a limit of complex fluid models with Navier boundary conditions ⋮ Boundary control problem for heat convection equations with slip boundary condition ⋮ An elementary approach to the inviscid limits for the 3D Navier-Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations ⋮ Uniform time of existence of the smooth solution for 3D Euler-α equations with periodic boundary conditions ⋮ Shallow water model for lakes with friction and penetration ⋮ Vanishing viscosity limit for incompressible flow inside a rotating circle ⋮ Vanishing viscosity limits for axisymmetric flows with boundary ⋮ Euler equations with non-homogeneous Navier slip boundary conditions ⋮ Vanishing viscous limits for the 2D lake equations with Navier boundary conditions ⋮ High order multi-scale wall-laws, Part I: The periodic case ⋮ Boundary layer problem: Navier-Stokes equations and Euler equations ⋮ On the vanishing viscosity limit of 3D Navier-Stokes equations under slip boundary conditions in general domains ⋮ Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions ⋮ A uniform estimate for the incompressible magneto-hydrodynamics equations with a slip boundary condition ⋮ Boundary conditions and polymeric drag reduction for the Navier-Stokes equations ⋮ Zero-Viscosity Limit of the Navier--Stokes Equations with the Navier Friction Boundary Condition ⋮ Existence and uniqueness of solutions to the damped Navier-Stokes equations with Navier boundary conditions for three dimensional incompressible fluid ⋮ The vanishing viscosity limit for some symmetric flows ⋮ A 3D non-stationary Boussinesq system with Navier-slip boundary conditions ⋮ Analysis of complex singularities in high-Reynolds-number Navier–Stokes solutions ⋮ Inviscid limit for 2D stochastic Navier-Stokes equations ⋮ Inviscid limit for Navier-Stokes equations in domains with permeable boundaries
This page was built for publication: On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition