Impulse control of stochastic Navier-Stokes equations
type: Item
instance of: scholarly article
title: Impulse control of stochastic Navier-Stokes equations
zbMATH Open document ID: 1087.93061
DOI: 10.1016/S0362-546X(01)00722-2
author: Sivaguru S. Sritharan
author: José-Luis Menaldi
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-03-11T00:00:00Z
review text: The authors develop a new direction in optimal control theory of fluid dynamics. They mathematically formulate and resolve impulse and stopping time problems for stochastic Navier-Stokes equations that are interpreted as Itô stochastic equations in variational forms. The Markov-Feller process generated by stochastic Navier-Stokes equation in a two-dimensional domain is discussed in detail. Further the authors define the Navier-Stokes semigroup which appears to be the Markov-Feller semigroup and they develop the theory of impulse control for the Markov-Feller semigroup not necessarily strongly continuous. The bibliography contains 26 items carefully selected.
reviewed by: Wiesław Kotarski
Mathematics Subject Classification ID: 93E20
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 76D55
Mathematics Subject Classification ID: 76M35
Mathematics Subject Classification ID: 60G40
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1879954
zbMATH Keywords: stochastic Navier-Stokes equation
zbMATH Keywords: dynamic programming
zbMATH Keywords: impulse control
zbMATH Keywords: variational inequality
zbMATH Keywords: stochastic optimal control
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1879954