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Tangential boundary stabilization of Navier-Stokes equations

About this Title

Viorel Barbu, Irena Lasiecka and Roberto Triggiani

Publication: Memoirs of the American Mathematical Society
Publication Year 2006: Volume 181, Number 852
ISBNs: 978-0-8218-3874-7 (print); 978-1-4704-0456-7 (online)
MathSciNet review: 2215059
MSC (2000): Primary 93C20; Secondary 35Q30, 76D05, 76D55

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Table of Contents


  • 1. Introduction
  • 2. Main results
  • 3. Proof of Theorems 2.1 and 2.2 on the linearized system (2.4): = 3
  • 4. Boundary feedback uniform stabilization of the linearized system (3.1.4) via an optimal control problem and corresponding Riccati theory. Case = 3
  • 5. Theorem 2.3(i): Well-posedness of the Navier-Stokes equations with Riccati-based boundary feedback control. Case = 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