On the dynamic programming approach for the 3D Navier-Stokes equations
Optimization and Control
2007-05-23 v1 Probability
Abstract
The dynamic programming approach for the control of a 3D flow governed 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.
Cite
@article{arxiv.math/0609389,
title = {On the dynamic programming approach for the 3D Navier-Stokes equations},
author = {Luigi Manca},
journal= {arXiv preprint arXiv:math/0609389},
year = {2007}
}
Comments
18 pages