000			03197nam a22004098i 4500
001			CR9780511721595
003			UkCbUP
005			20200124160240.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100303s2008||||enk o ||1 0|eng|d
020			_a9780511721595 (ebook)
020			_z9780521885720 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA402.3 _b.G56 2008
082	0	0	_a515/.642 _222
100	1		_aGlowinski, R., _eauthor.
245	1	0	_aExact and approximate controllability for distributed parameter systems : _ba numerical approach / _cRoland Glowinski, Jacques-Louis Lions, Jiwen He.
246	3		_aExact & Approximate Controllability for Distributed Parameter Systems
264		1	_aCambridge : _bCambridge University Press, _c2008.
300			_a1 online resource (xii, 458 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 117
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aDiffusion models -- Distributed and pointwise control for linear diffusion equations -- Boundary control -- Control of the Stokes system -- Control of nonlinear diffusion systems -- Dynamic programming for linear diffusion equations -- Wave models -- Wave equations -- On the application of controllability methods to the solution of the Helmholtz equation at large wave numbers -- Other wave and vibration problems, coupled systems -- Flow control -- Optimal control of systems modelled by the Navier-Stokes equations : application to drag reduction.
520			_aThe behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour of such systems mathematically and computationally. A thorough mathematical analysis of controllability problems is combined with a detailed investigation of methods used to solve them numerically, these methods being validated by the results of numerical experiments. In Part I of the book the authors discuss the mathematics and numerics relating to the controllability of systems modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling incompressible viscous flow. The book is accessible to graduate students in applied and computational mathematics, engineering and physics; it will also be of use to more advanced practitioners.
650		0	_aControl theory.
650		0	_aDistributed parameter systems.
650		0	_aDifferential equations, Partial _xNumerical solutions.
700	1		_aLions, J.-L. _q(Jacques-Louis), _d1928-2001, _eauthor.
700	1		_aHe, Jiwen, _eauthor.
776	0	8	_iPrint version: _z9780521885720
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 117.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511721595
999			_c518467 _d518465