Displaying similar documents to “Some inverse and control problems for fluids”

Uniqueness results for Stokes equations and their consequences in linear and nonlinear control problems

Caroline Fabre (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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The goal of this article is the study of the approximate controllability for two approximations of Navier Stokes equations with distributed controls. The method of proof combines a suitable linearization of the system with a fixed point argument. We then are led to study the approximate controllability of linear Stokes systems with potentials. We study both the case where there is no constraint on the control and the case where we search a control having one null component. In...

Controllability of 3D incompressible Euler equations by a finite-dimensional external force

Hayk Nersisyan (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper, we study the control system associated with the incompressible 3D Euler system. We show that the velocity field and pressure of the fluid are exactly controllable in projections by the same finite-dimensional control. Moreover, the velocity is approximately controllable. We also prove that 3D Euler system is not exactly controllable by a finite-dimensional external force.

Local exact controllability for the 1 -d compressible Navier-Stokes equations

Sylvain Ervedoza (2011-2012)

Séminaire Laurent Schwartz — EDP et applications

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In this talk, I will present a recent result obtained in [] with O. Glass, S. Guerrero and J.-P. Puel on the local exact controllability of the 1 -d compressible Navier-Stokes equations. The goal of these notes is to give an informal presentation of this article and we refer the reader to it for extensive details.