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Preprint di Matematica -n. 5 Ottobre 2006 On the dynamic programming approach for the
 

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.
RŽesumŽe
Nous Žetudions la programmation dynamique du contr^ole d'un flux
tridimensionnel gouvernŽe par les Žequations stochastiques de Navier-Stokes

  

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

 

Collections: Mathematics