Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions

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

Local Exact Controllability to the Trajectories of the Navier-stokes System with Nonlinear Navier-slip Boundary Conditions

Abstract. In this paper we deal with the local exact controllability of the Navier-Stokes system with nonlinear Navier-slip boundary conditions and distributed controls supported in small sets. In a first step, we prove a Carleman inequality for the linearized Navier-Stokes system, which leads to null controllability of this system at any time T > 0. Then, fixed point arguments lead to the dedu...

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

Local Exact Boundary Controllability of 3d Navier–stokes Equations

We consider the Navier–Stokes system in a bounded domain with a smooth boundary. Given a time-dependent solution and an arbitrary open subset of the boundary, we prove the existence of a boundary control, supported in the given subset, that drives the system to the given solution in finite time.

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

Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains

We consider the compressible (barotropic) Navier-Stokes system on time-dependent domains, supplemented with slip boundary conditions. Our approach is based on penalization of the boundary behaviour, viscosity, and the pressure in the weak formulation. Global-in-time weak solutions are obtained.

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: ESAIM: Control, Optimisation and Calculus of Variations

سال: 2006

ISSN: 1292-8119,1262-3377

DOI: 10.1051/cocv:2006006