On the controllability of the Navier-Stokes equation in spite of boundary layers
Language
en
Communication dans un congrès
This item was published in
Mathematical Analysis of Viscous Incompressible Fluid, 2016-11-14, Kyoto. vol. 2058, p. 162-180
English Abstract
In this note we expose a particular case of a recent result obtained in [Jean-Michel Coron, Frédéric Marbach, Franck Sueur, Small time global exact null controllability of the Navier-Stokes equation with Navier slip-with-friction ...Read more >
In this note we expose a particular case of a recent result obtained in [Jean-Michel Coron, Frédéric Marbach, Franck Sueur, Small time global exact null controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions. Preprint 2016. http://arxiv.org/abs/1612.08087] by the authors regarding the incompressible Navier-Stokes equations in a smooth bounded and simply connected bounded domain, either in 2D or in 3D, with a Navier slip-with-friction boundary condition except on a part of the boundary. This under-determination encodes that one has control over the remaining part of the boundary. We prove that for any initial data, for any positive time, there exists a weak Leray solution which vanishes at this given time.Read less <
English Keywords
Controllability
Navier-Stokes equations
Navier slip with friction boundary condition
boundary layers
return method
well-prepared dissipation method
European Project
Control of partial differential equations and nonlinearity
ANR Project
DYnamique des Fluides, Couches Limites, Tourbillons et Interfaces - ANR-13-BS01-0003
Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010
Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010
Origin
Hal imported