In this article we study the local boundary stabilization of the non-homogeneous Navier-Stokes equations in a 2d channel around Poiseuille flow which is a stationary solution for the system under consideration. The feedback control operator we construct has finite dimensional range. The homogeneous Navier-Stokes equations are of parabolic nature and the stabilization result for such system is well studied in the literature. In the present article we prove a stabilization result for non-homogeneous Navier-Stokes equations which involves coupled parabolic and hyperbolic dynamics by using only one boundary control for the parabolic part
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic pro...
International audienceIn this work we study the exponential stabilization of the two and three-dimen...
Uniform stabilization in the neighborhood of an unstable equilibrium of the Navier-Stokes equations ...
In this article, we study the local boundary stabilization of the non-homogeneous Navier–Stokes equa...
Abstract — We present a formula for a boundary control law which stabilizes the parabolic profile of...
We present a formula for a boundary control law which stabilizes the parabolic profile of an infinit...
Abstract—We present a formula for a boundary control law which stabilizes the parabolic profile of a...
We present the results of numerical simulations for the boundary feedback stabilization of the parab...
The main objective of these lectures is to introduce the audience to recent advances in the mathemat...
International audienceWe study the numerical approximation of the boundary stabilization of the Navi...
International audienceThis paper presents a global stabilization for the two and three-dimensional N...
The present paper seeks to continue the analysis in Barbu et al. [Tangential boundary stabilization ...
International audienceIn this article, we discuss the stabilization of incompressible Navier-Stokes ...
Abstract — In a previous work, we presented formulae for boundary control laws which stabilized the ...
International audienceIn this paper we study the local stabilization of one dimensional compressible...
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic pro...
International audienceIn this work we study the exponential stabilization of the two and three-dimen...
Uniform stabilization in the neighborhood of an unstable equilibrium of the Navier-Stokes equations ...
In this article, we study the local boundary stabilization of the non-homogeneous Navier–Stokes equa...
Abstract — We present a formula for a boundary control law which stabilizes the parabolic profile of...
We present a formula for a boundary control law which stabilizes the parabolic profile of an infinit...
Abstract—We present a formula for a boundary control law which stabilizes the parabolic profile of a...
We present the results of numerical simulations for the boundary feedback stabilization of the parab...
The main objective of these lectures is to introduce the audience to recent advances in the mathemat...
International audienceWe study the numerical approximation of the boundary stabilization of the Navi...
International audienceThis paper presents a global stabilization for the two and three-dimensional N...
The present paper seeks to continue the analysis in Barbu et al. [Tangential boundary stabilization ...
International audienceIn this article, we discuss the stabilization of incompressible Navier-Stokes ...
Abstract — In a previous work, we presented formulae for boundary control laws which stabilized the ...
International audienceIn this paper we study the local stabilization of one dimensional compressible...
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic pro...
International audienceIn this work we study the exponential stabilization of the two and three-dimen...
Uniform stabilization in the neighborhood of an unstable equilibrium of the Navier-Stokes equations ...