Steady solution and its stability for Navier–Stokes equations with general Navier slip boundary condition

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Vorticity layers of the 2D Navier-Stokes equations with a slip type boundary condition

We study the asymptotic behavior, at small viscosity ε, of the NavierStokes equations in a 2D curved domain. The Navier-Stokes equations are supplemented with the slip boundary condition, which is a special case of the Navier friction boundary condition where the friction coefficient is equal to two times the curvature on the boundary. We construct an artificial function, which is called a corr...

متن کامل

Exact Controllability for the Three-dimensional Navier-Stokes Equations with the Navier Slip Boundary Conditions

In this paper we establish the local exact internal controllability of steady state solutions for the Navier-Stokes equations in three-dimensional bounded domains, with the Navier slip boundary conditions. The proof is based on a Carlemantype estimate for the backward Stokes equations with the same boundary conditions, which is also established here.

متن کامل

Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions

We tackle the issue of the inviscid limit of the incompressible Navier-Stokes equations when the Navier slip-with-friction conditions are prescribed on the impermeable boundaries. We justify an asymptotic expansion which involves a weak amplitude boundary layer, with the same thickness as in Prandtl’s theory and a linear behavior. This analysis holds for general regular domains, in both dimensi...

متن کامل

Towards a Transparent Boundary Condition for Compressible Navier–stokes Equations

A new artificial boundary condition for 2D subsonic flows governed by the compressible Navier–Stokes equations is derived. It is based on the hyperbolic part of the equations, according to the way of propagation of the characteristic waves. A reference flow as well as a convection velocity are used to properly discretize the terms corresponding to the entering waves. Numerical tests on various ...

متن کامل

The Navier-Stokes equations for the motion of compressible, viscous fluid flows with the no-slip boundary condition

The Navier-Stokes equations for the motion of compressible, viscous fluids in the half-space R+ with the no-slip boundary condition are studied. Given a constant equilibrium state (ρ̄, 0), we construct a global in time, regular weak solution, provided that the initial data ρ0,u0 are close to the equilibrium state when measured by the norm |ρ0 − ρ̄|L∞ + |u0|H1 and discontinuities of ρ0 decay near ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Mathematical Sciences

سال: 2009

ISSN: 1072-3374,1573-8795

DOI: 10.1007/s10958-009-9457-4