The application of optimal control theory to complex problems in fluid mechanics has proven to be quite effective when complete state information from high-resolution numerical simulations isâ€¦ (More)

Abstract. We consider the stochastic Navier-Stokes equations forced by a multiplicative white noise on a bounded domain in space dimensions two and three. We establish the local existence andâ€¦ (More)

We study the two dimensional primitive equations in the presence of multiplicative stochastic forcing. We prove the existence and uniqueness of solutions in a fixed probability space. The proof isâ€¦ (More)

This paper proves that there are no zero-net wall-transpiration control strategies that can sustain net heat flux below the laminar level in an incompressible channel flow with constant-temperatureâ€¦ (More)

1 Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588-0323, USA 2 Department of Mathematics and Department of Mechanical and Aerospace Engineering, University of California,â€¦ (More)

In this note we establish the existence and uniqueness of solutions for optimal control problems for the 2D Navier-Stokes equations in a 2D-channel. Our approach is based on infinite-dimensionalâ€¦ (More)