Summary: Preprint di Matematica - n. 5 Ottobre 2006
On the dynamic programming approach for the
3D Navier-Stokes equations
Luigi Manca
SCUOLA NORMALE SUPERIORE
PISA
On the dynamic programming approach for the
3D Navier-Stokes equations
Luigi Manca
September 14, 2006
Abstract
The dynamic programming approach for the control of a 3D flow gov-
erned by the stochastic Navier-Stokes equations for incompressible fluid
in a bounded domain is studied. By a compactness argument, existence of
solutions for the associated Hamilton-Jacobi-Bellman equation is proved.
Finally, existence of an optimal control through the feedback formula and
of an optimal state is discussed.
R´esum´e
Nous ´etudions la programmation dynamique du contr^ole d'un flux
tridimensionnel gouvern´e par les ´equations stochastiques de Navier-Stokes

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

Collections: Mathematics