# Optimal Control for Two-Dimensional Stochastic Navier-Stokes Equations

## Abstract

Loeb space methods are used to prove the existence of an optimal control for the two-dimensional stochastic Navier--Stokes equations in a variety of settings-including that of control based on digital observations of the evolution of the solution.

- Authors:

- Mathematics Department, University of York (United Kingdom), E-mail: nc507@york.ac.uk
- Department of Finance, National-Louis University (Poland), E-mail: jermakowicz@wsb-nlu.edu.pl

- Publication Date:

- OSTI Identifier:
- 21064196

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Applied Mathematics and Optimization; Journal Volume: 55; Journal Issue: 1; Other Information: DOI: 10.1007/s00245-006-0866-1; Copyright (c) 2007 Springer; www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONTROL THEORY; MATHEMATICAL EVOLUTION; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; NAVIER-STOKES EQUATIONS; OPTIMAL CONTROL; STOCHASTIC PROCESSES; TWO-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Cutland, Nigel J., and Grzesiak, Katarzyna.
```*Optimal Control for Two-Dimensional Stochastic Navier-Stokes Equations*. United States: N. p., 2007.
Web. doi:10.1007/S00245-006-0866-1.

```
Cutland, Nigel J., & Grzesiak, Katarzyna.
```*Optimal Control for Two-Dimensional Stochastic Navier-Stokes Equations*. United States. doi:10.1007/S00245-006-0866-1.

```
Cutland, Nigel J., and Grzesiak, Katarzyna. Mon .
"Optimal Control for Two-Dimensional Stochastic Navier-Stokes Equations". United States.
doi:10.1007/S00245-006-0866-1.
```

```
@article{osti_21064196,
```

title = {Optimal Control for Two-Dimensional Stochastic Navier-Stokes Equations},

author = {Cutland, Nigel J. and Grzesiak, Katarzyna},

abstractNote = {Loeb space methods are used to prove the existence of an optimal control for the two-dimensional stochastic Navier--Stokes equations in a variety of settings-including that of control based on digital observations of the evolution of the solution.},

doi = {10.1007/S00245-006-0866-1},

journal = {Applied Mathematics and Optimization},

number = 1,

volume = 55,

place = {United States},

year = {Mon Jan 15 00:00:00 EST 2007},

month = {Mon Jan 15 00:00:00 EST 2007}

}

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