Impulse control of stochastic Navier-Stokes equations
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.
scientific article; zbMATH DE number 1879954