Title: Exact controllability for the three-dimensional Navier-Stokes equations with the Navier slip boundary conditions

Authors: Teodor Havarneanu, Catalin Popa and S. S. Sritharan

Issue: Volume 54 (2005), Issue 5, 1303-1350

Abstract: In this paper we establish the local exact internal controllability of steady state solutions for the Navier-Stokes equations in three-dimensional bounded domains, with the Navier slip boundary conditions. The proof is based on a Carleman-type estimate for the backward Stokes equations with the same boundary conditions, which is also established here.