Optimal Control for Two-Dimensional Stochastic Navier-Stokes Equations

Optimal Control for Two-Dimensional Stochastic Navier-Stokes Equations

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. [PUBLICATION ABSTRACT]

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Veröffentlicht in:Applied mathematics & optimization 2007-01, Vol.55 (1), p.61-91
Hauptverfasser: Cutland, Nigel J, Grzesiak, Katarzyna
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONTROL THEORY
Dynamic programming
Evolution
Fluid flow
Mathematical analysis
MATHEMATICAL EVOLUTION
Mathematical models
Mathematical problems
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
NAVIER-STOKES EQUATIONS
Noise
OPTIMAL CONTROL
Optimization
Stochastic models
STOCHASTIC PROCESSES
Stochasticity
Studies
Two dimensional
TWO-DIMENSIONAL CALCULATIONS
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Beschreibung
Zusammenfassung: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. [PUBLICATION ABSTRACT]
ISSN:0095-4616
1432-0606
DOI:10.1007/s00245-006-0866-1