论文信息 - On controllability of the Navier-Stokes equations

On controllability of the Navier-Stokes equations

Different statements of the controllability problem for the Navier-Stokes equations are given. Theorems on exact, on local exact and on approximate controllability of the 3D Navier-Stokes equations are obtained when control is concentrated on the boundary of a domain Ω filled by a fluid and in the case of periodic boundary conditions (i.e. these equations are defined on torus II), the control is distributed and it is concentrated in a subdomain of II

A. V. Fursikov

[1] A. Fursikov,et al. Local Exact Boundary Controllability of the Boussinesq Equation , 1998 .

[2] Andrei V. Fursikov,et al. Exact controllability of the Navier-Stokes and Boussinesq equations , 1999 .

[3] Jean-Michel Coron,et al. Global Exact Controllability of the 2D Navier-Stokes Equations on a Manifold without boundary , 1996 .

[4] J. Coron,et al. On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions , 1996 .

[5] Andrei V. Fursikov,et al. Local exact controllability of the Navier-Stokes equations , 1996 .

[6] Andrei V. Fursikov,et al. On exact boundary zero-controlability of two-dimensional Navier-Stokes equations , 1994 .

[7] Local exact controllability of the?two-dimensional Navier-Stokes equations , 1996 .

[8] J. Lions,et al. Problèmes aux limites non homogènes et applications , 1968 .

[9] V. Tikhomirov,et al. Optimal Control , 1987 .

[10] A. Fursikov,et al. Exact boundary zero controllability of three-dimensional Navier-Stokes equations , 1995 .