Internal stabilization of the Oseen–Stokes equations by Stratonovich noise

The design of a Stratonovich noise feedback controller with support in an arbitrary open subset O 0 of O is described. This exponentially stabilizes in probability, that is with probability one, the Oseen–Stokes systems in a domain O ⊂ R d , d = 2 , 3 . This completes the stabilization results from the author’s work Barbu (2011) [3] which is concerned with design of an Ito noise stabilizing controller.