Stabilization of Navier-Stokes Flows
1st Edition
Published on 19. November 2010
XII, 276 pages
978-0-85729-043-4 (ISBN)
Description
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.
Reviews / Votes
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)More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Springer London
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XII, 276 p.
File size
2,73 MB
ISBN-13
978-0-85729-043-4 (9780857290434)
DOI
10.1007/978-0-85729-043-4
Schweitzer Classification
Other editions
Additional editions
Viorel Barbu
Stabilization of Navier-Stokes Flows
Book
01/2013
Springer
€106.99
Shipment within 15-20 days
Viorel Barbu
Stabilization of Navier-Stokes Flows
Book
12/2010
Springer
€106.99
Shipment within 15-20 days
Person
Professor Barbu is a professor with the University Al.I.Cuza (Romania) and member of Romanian Academy. He had visiting professorship positions with several universities in the USA and Europe including the following: Purdue University, Cincinnati University, Virginia University, Ohio University, Bonn University, University of Bologna. He has published a dozen monographs and 170 research papers in the following fields: nonlinear PDEs, control theory of parameter distributed systems and of Navier-Stokes equations, Stochatic PDEs, integral equations.
Content
Preliminaries.- Stabilization of Abstract Parabolic Systems.- Stabilization of Navier-Stokes Flows.- Stabilization by Noise of Navier-Stokes Equations.- Robust Stabilization of the Navier-Stokes Equation via the H-infinity Control Theory.
