Stabilization of Navier-Stokes Flows

By: Viorel Barbu

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Paperback | 27 January 2013

At a Glance

Paperback
290 Pages

Dimensions(cm)
23.39 x 15.6 x 1.55

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Stabilization of Navier-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-Stokes equations, reducing or eliminating turbulence. Stochastic stabilization and robustness of stabilizable feedback are also discussed. 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's task of application easier still. Stabilization of Navier-Stokes Flows avoids the tedious and technical details often present in mathematical treatments of control and Navier-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.

Industry Reviews

From the book reviews:

"The book is well written and nice to read. Each chapter is followed by numerous references. Many of the results presented in the book come from papers by the author and co-authors. This book is an excellent introduction to the subject and is recommended to researchers wanting to learn about stabilization problems for parabolic equations." (Jean-Pierre Raymond, Mathematical Reviews, March, 2015)

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