TY - JOUR
T1 - The Inviscid Limit for the Navier–Stokes Equations with Slip Condition on Permeable Walls
AU - Marques, Maria Fernanda de Almeida Cipriano Salvador
PY - 2013/1/1
Y1 - 2013/1/1
N2 - We consider the Navier-Stokes equations in a 2D-bounded domain with general \textit{non-homogeneous} Navier slip boundary conditions prescribed on permeable boundaries, and study the vanishing viscosity limit. We prove that solutions of the Navier-Stokes equations converge to solutions of the Euler equations satisfying the same Navier slip boundary condition on the inflow region of the boundary. The convergence is strong in Sobolev's spaces $% W^1_p, \;\;p>2$, which correspond to the spaces of the data.
AB - We consider the Navier-Stokes equations in a 2D-bounded domain with general \textit{non-homogeneous} Navier slip boundary conditions prescribed on permeable boundaries, and study the vanishing viscosity limit. We prove that solutions of the Navier-Stokes equations converge to solutions of the Euler equations satisfying the same Navier slip boundary condition on the inflow region of the boundary. The convergence is strong in Sobolev's spaces $% W^1_p, \;\;p>2$, which correspond to the spaces of the data.
U2 - 10.1007/s00332-013-9166-5
DO - 10.1007/s00332-013-9166-5
M3 - Article
SN - 0938-8974
VL - 23
SP - 731
EP - 750
JO - Journal Of Nonlinear Science
JF - Journal Of Nonlinear Science
IS - 5
ER -