On the Dynamic Programming Approach for the 3D Navier-Stokes Equations

Journal Article · Sun Jun 15 00:00:00 EDT 2008 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-007-9024-7· OSTI ID:21242047

Manca, Luigi ^[1]

---

1. Universita di Padova, Dipartimento di Matematica Pura e Applicata (Italy)

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.

• OSTI ID: 21242047
• Journal Information: Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 3 Vol. 57; ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
99 GENERAL AND MISCELLANEOUS
DYNAMIC PROGRAMMING
FEEDBACK
HAMILTON-JACOBI EQUATIONS
MATHEMATICAL SOLUTIONS
NAVIER-STOKES EQUATIONS
OPTIMAL CONTROL
STOCHASTIC PROCESSES
THREE-DIMENSIONAL CALCULATIONS