000 03442nam a22005415i 4500
001 978-0-85729-043-4
003 DE-He213
005 20141014113434.0
007 cr nn 008mamaa
008 101119s2011 xxk| s |||| 0|eng d
020 _a9780857290434
_9978-0-85729-043-4
024 7 _a10.1007/978-0-85729-043-4
_2doi
041 _aeng
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aTEC004000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aBarbu, Viorel.
_eauthor.
245 1 0 _aStabilization of Navier–Stokes Flows
_h[electronic resource] /
_cby Viorel Barbu.
260 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2011.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2011.
300 _aXII, 276 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCommunications and Control Engineering,
_x0178-5354
505 0 _aPreliminaries -- 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.
520 _aStabilization 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 text treats the questions: • What is the structure of the stabilizing feedback controller? • How can it be designed using a minimal set of eigenfunctions of the Stokes–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’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. The chief points of linear functional analysis, linear algebra, probability theory and general variational theory of elliptic, parabolic and Navier–Stokes equations are reviewed in an introductory chapter and at the end of chapters 3 and 4.
650 0 _aEngineering.
650 0 _aDifferential equations, partial.
650 0 _aSystems theory.
650 0 _aHydraulic engineering.
650 1 4 _aEngineering.
650 2 4 _aControl.
650 2 4 _aSystems Theory, Control.
650 2 4 _aFluid- and Aerodynamics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aEngineering Fluid Dynamics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780857290427
830 0 _aCommunications and Control Engineering,
_x0178-5354
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-85729-043-4
912 _aZDB-2-ENG
942 _cEB
999 _c917
_d917