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Title: 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:
 [1];  [2]
  1. Mathematics Department, University of York (United Kingdom), E-mail: nc507@york.ac.uk
  2. 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}
}