000			03202nam a22004815i 4500
001			978-3-642-16830-7
003			DE-He213
005			20140220083750.0
007			cr nn 008mamaa
008			110103s2011 gw | s |||| 0|eng d
020			_a9783642168307 _9978-3-642-16830-7
024	7		_a10.1007/978-3-642-16830-7 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aBahouri, Hajer. _eauthor.
245	1	0	_aFourier Analysis and Nonlinear Partial Differential Equations _h[electronic resource] / _cby Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011.
300			_aXVI, 524 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, _x0072-7830 ; _v343
505	0		_aPreface -- 1. Basic analysis -- 2. Littlewood-Paley theory -- 3. Transport and transport-diffusion equations -- 4. Quasilinear symmetric systems -- 5. Incompressible Navier-Stokes system -- 6. Anisotropic viscosity -- 7. Euler system for perfect incompressible fluids -- 8. Strichartz estimates and applications to semilinear dispersive equations -- 9. Smoothing effect in quasilinear wave equations -- 10 -- The compressible Navier-Stokes system -- References. - List of notations -- Index.
520			_aIn recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schrödinger equations.  It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aPartial Differential Equations.
700	1		_aChemin, Jean-Yves. _eauthor.
700	1		_aDanchin, Raphaël. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642168291
830		0	_aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, _x0072-7830 ; _v343
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-16830-7
912			_aZDB-2-SMA
999			_c107204 _d107204