000			04098nam a22005535i 4500
001			978-0-387-49808-9
003			DE-He213
005			20250710084004.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780387498089 _a99780387498089
024	7		_a10.1007/978-0-387-49808-9 _2doi
082	0	4	_a519 _223
100	1		_aFouque, Jean-Pierre. _eauthor.
245	1	0	_aWave Propagation and Time Reversal in Randomly Layered Media _h[recurso electrónico] / _cby Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna.
264		1	_aNew York, NY : _bSpringer New York, _c2007.
300			_aXX, 612 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aStochastic Modelling and Applied Probability, Formerly: Applications of Mathematics, _x0172-4568 ; _v56
505	0		_aand Overview of the Book -- Waves in Homogeneous Media -- Waves in Layered Media -- Effective Properties of Randomly Layered Media -- Scaling Limits -- Asymptotics for Random Ordinary Differential Equations -- Transmission of Energy Through a Slab of Random Medium -- Wave-Front Propagation -- Statistics of Incoherent Waves -- Time Reversal in Reflection and Spectral Estimation -- Applications to Detection -- Time Reversal in Transmission -- Application to Communications -- Scattering by a Three-Dimensional Randomly Layered Medium -- Time Reversal in a Three-Dimensional Layered Medium -- Application to Echo-Mode Time Reversal -- Other Layered Media -- Other Regimes of Propagation -- The Random Schrödinger Model -- Propagation in Random Waveguides.
520			_aWave propagation in random media is an interdisciplinary field that has emerged from the need in physics and engineering to model and analyze wave energy transport in complex environments. This book gives a systematic and self-contained presentation of wave propagation in randomly layered media using the asymptotic theory of ordinary differential equations with random coefficients. The first half of the book gives a detailed treatment of wave reflection and transmission in one-dimensional random media, after introducing gradually the tools from partial differential equations and probability theory that are needed for the analysis. The second half of the book presents wave propagation in three-dimensional randomly layered media along with several applications, primarily involving time reversal. Many new results are presented here for the first time. The book is addressed to students and researchers in applied mathematics that are interested in understanding how tools from stochastic analysis can be used to study some intriguing phenomena in wave propagation in random media. Parts of the book can be used for courses in which random media and related homogenization, averaging, and diffusion approximation methods are involved.
650		0	_aMATHEMATICS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aDISTRIBUTION (PROBABILITY THEORY).
650		0	_aFLUIDS.
650		0	_aACOUSTICS.
650		0	_aENGINEERING MATHEMATICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aAPPLICATIONS OF MATHEMATICS.
650	2	4	_aPROBABILITY THEORY AND STOCHASTIC PROCESSES.
650	2	4	_aFLUIDS.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aACOUSTICS.
650	2	4	_aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
700	1		_aGarnier, Josselin. _eauthor.
700	1		_aPapanicolaou, George. _eauthor.
700	1		_aSølna, Knut. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387308906
830		0	_aStochastic Modelling and Applied Probability, Formerly: Applications of Mathematics, _x0172-4568 ; _v56
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-49808-9 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c57883 _d57883