Tabla de Contenidos:
  • 1. Introduction 2. Main results 3. Proof of Theorems 2.1 and 2.2 on the linearized system (2.4): $d$ = 3 4. Boundary feedback uniform stabilization of the linearized system (3.1.4) via an optimal control problem and corresponding Riccati theory. Case $d$ = 3 5. Theorem 2.3(i): Well-posedness of the Navier-Stokes equations with Riccati-based boundary feedback control. Case $d$ = 3 6. Theorem 2.3(ii): Local uniform stability of the Navier-Stokes equations with Riccati-based boundary feedback control 7. A PDE-interpretation of the abstract results in Sections 5 and 6.