000			03702nam a22005657a 4500
001			sulb-eb0022507
003			BD-SySUS
005			20160413122302.0
007			cr nn 008mamaa
008			130326s2013 xxu| s |||| 0|eng d
020			_a9781461463061 _9978-1-4614-6306-1
024	7		_a10.1007/978-1-4614-6306-1 _2doi
050		4	_aQA401-425
050		4	_aQC19.2-20.85
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.15 _223
100	1		_aColangeli, Matteo. _eauthor.
245	1	0	_aFrom Kinetic Models to Hydrodynamics _h[electronic resource] : _bSome Novel Results / _cby Matteo Colangeli.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aX, 96 p. 21 illus., 9 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringerBriefs in Mathematics, _x2191-8198
505	0		_a1. Introduction -- 2. From the Phase Space to the Boltzmann Equation -- 3. Methods of Reduced Description -- 4. Hydrodynamic Spectrum of Simple Fluids -- 5. Hydrodynamic Fluctuations from the Boltzmann Equation -- 6. 13 Moment Grad System -- 7. Conclusions -- References.     .
520			_aFrom Kinetic Models to Hydrodynamics serves as an introduction to the asymptotic methods necessary to obtain hydrodynamic equations from a fundamental description using kinetic theory models and the Boltzmann equation.  The work is a survey of an active research area, which aims to bridge time and length scales from the particle-like description inherent in Boltzmann equation theory to a fully established “continuum” approach typical of macroscopic laws of physics.The author sheds light on a new method—using invariant manifolds—which addresses a functional equation for the nonequilibrium single-particle distribution function.  This method allows one to find exact and thermodynamically consistent expressions for: hydrodynamic modes; transport coefficient expressions for hydrodynamic modes; and transport coefficients of a fluid beyond the traditional hydrodynamic limit.  The invariant manifold method paves the way to establish a needed bridge between Boltzmann equation theory and a particle-based theory of hydrodynamics.  Finally, the author explores the ambitious and longstanding task of obtaining hydrodynamic constitutive equations from their kinetic counterparts. The work is intended for specialists in kinetic theory—or more generally statistical mechanics—and will provide a bridge between a physical and mathematical approach to solve real-world problems.
650		0	_aMathematics.
650		0	_aMathematical physics.
650		0	_aMathematical models.
650		0	_aPhysics.
650		0	_aStatistical physics.
650		0	_aDynamical systems.
650	1	4	_aMathematics.
650	2	4	_aMathematical Physics.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aMathematical Applications in the Physical Sciences.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
650	2	4	_aMathematical Modeling and Industrial Mathematics.
650	2	4	_aStatistical Physics, Dynamical Systems and Complexity.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461463054
830		0	_aSpringerBriefs in Mathematics, _x2191-8198
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-6306-1
912			_aZDB-2-SMA
942			_2Dewey Decimal Classification _ceBooks
999			_c44599 _d44599