The structure of phase flow and nonlocal feedback stabilization for semilinear parabolic equations of normal type

Henri Poincaré

Description

THE STRUCTURE OF PHASE FLOW AND NONLOCAL FEEDBACK STABILIZATION FOR SEMILINEAR PARABOLIC EQUATIONS OF NORMAL TYPE Andrei V. Fursikov Department of Mechanics and Mathematics Moscow State University, 119991 Moscow, Russia Institute Henri Poincare, November 15, 2010 1

• spacial subdo- main


• parabolic equation


• equations has


• imanuvilov exact


• dirac ?-function


• local stabilization


• nonlocal feedback


• main ?

Sujets

• Poincaré
• Parabolic partial differential equation
• maths

Informations

• Publié par: pefav
• Nombre de lectures: 12
• Langue: English

Extrait

THE STRUCTURE OF PHASE FLOW AND NONLOCAL FEEDBACK STABILIZATION FOR SEMILINEAR PARABOLIC EQUATIONS OF NORMAL TYPE

Andrei V. Fursikov Department of Mechanics and Mathematics Moscow State University, 119991 Moscow, Russia

Institute Henri Poincare, November 15, 2010

1

Global exact controllability for 3D Navier- Stokes equations has been established in

A.V.Fursikov, O.Yu.Imanuvilov Exact control- lability of the Navier-Stokes and Boussinesq equations .- Russian Math. surveys, vol.54:3 (1999), 565-618.

where, among other tools, the methods of the paper

J.-M.Coron On the controllability of 2D In- compressible Perfect Fluids .-J.Math. Pures Appl. (9) 75, (1996), 155-188.

have been used.

Our aim now is to develop methods for so- lution of nonlocal stabilization problem by means of feedback control.

2