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Stabilization of Navier-Stokes flows

Author: Viorel Barbu
Publisher: London : Springer, ©2011.
Series: Communications and control engineering.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version :
Barbu, Viorel.
Stabilization of Navier-Stokes flows.
London : Springer, ©2011
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Viorel Barbu
ISBN: 9780857290434 0857290436
OCLC Number: 695387368
Description: 1 online resource (xi, 276 pages).
Contents: Preface; Contents; Symbols and Notation; Preliminaries; Banach Spaces and Linear Operators; Sobolev Spaces and Elliptic Boundary Value Problems; The Semigroups of Class C0; The Nonlinear Cauchy Problem; Strong Solutions to Navier-Stokes Equations; Stabilization of Abstract Parabolic Systems; Nonlinear Parabolic-like Systems; Internal Stabilization of Linearized System; Boundary Stabilization of Linearized System; Stabilization by Noise of the Linearized Systems; Internal Stabilization of Nonlinear Parabolic-like Systems; Stabilization of Time-periodic Flows; Comments to Chap. 2.
Series Title: Communications and control engineering.
Responsibility: Viorel Barbu.
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Abstract:

This volume presents recent and notable progress in the mathematical theory of stabilization of Newtonian fluid flows. It avoids the tedious technical details often seen in mathematical treatments of  Read more...

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