Stabilization of Navier#xE2;#xAC;#x1C;Stokes Flows presents recent notable progress in the mathematical theory of stabilization of Newtonian fluid flows. Finite-dimensional feedback controllers are used to stabilize exponentially the equilibrium solutions of Navier#xE2;#xAC;#x1C;Stokes equations, reducing or eliminating turbulence. Stochastic stabilization and robustness of stabilizable feedback are also discussed. The text treats the questions: #xE2;#xAC;#xA2; What is the structure of the stabilizing feedback controller? #xE2;#xAC;#xA2; How can it be designed using a minimal set of eigenfunctions of the Stokes#xE2;#xAC;#x1C;Oseen operator? The analysis developed here provides a rigorous pattern for the design of efficient stabilizable feedback controllers to meet the needs of practical problems and the conceptual controllers actually detailed will render the reader#xE2;#xAC;"s task of application easier still. Stabilization of Navier#xE2;#xAC;#x1C;Stokes Flows avoids the tedious and technical details often present in mathematical treatments of control and Navier#xE2;#xAC;#x1C;Stokes equations and will appeal to a sizeable audience of researchers and graduate students interested in the mathematics of flow and turbulence control and in Navier-Stokes equations in particular. The chief points of linear functional analysis, linear algebra, probability theory and general variational theory of elliptic, parabolic and Navier#xE2;#xAC;#x1C;Stokes equations are reviewed in an introductory chapter and at the end of chapters 3 and 4.