Displaying similar documents to “Exact controllability in projections for three-dimensional Navier–Stokes equations”

Controllability of three-dimensional Navier–Stokes equations and applications

Armen Shirikyan (2005-2006)

Séminaire Équations aux dérivées partielles

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We formulate two results on controllability properties of the 3D Navier–Stokes (NS) system. They concern the approximate controllability and exact controllability in finite-dimensional projections of the problem in question. As a consequence, we obtain the existence of a strong solution of the Cauchy problem for the 3D NS system with an arbitrary initial function and a large class of right-hand sides. We also discuss some qualitative properties of admissible weak solutions for randomly...

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...

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.