On the Dynamic Programming Approach for the 3D Navier-Stokes Equations
Journal Article
·
· Applied Mathematics and Optimization
- 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, Vol. 57, Issue 3; Other Information: DOI: 10.1007/s00245-007-9024-7; Copyright (c) 2008 Springer Science+Business Media, LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
Similar Records
Approximating the trajectory attractor of the 3D Navier-Stokes system using various α-models of fluid dynamics
NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations
Optimal control of compressible Navier-Stokes equations
Journal Article
·
Sat Apr 30 00:00:00 EDT 2016
· Sbornik. Mathematics
·
OSTI ID:21242047
NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations
Journal Article
·
Sun Nov 01 00:00:00 EDT 2020
· Journal of Computational Physics
·
OSTI ID:21242047
+1 more
Optimal control of compressible Navier-Stokes equations
Conference
·
Sat Dec 31 00:00:00 EST 1994
·
OSTI ID:21242047