000			04197nam a22003735i 4500
001			298217
003			MX-SnUAN
005			20160429155454.0
007			cr nn 008mamaa
008			150903s2008 gw | o |||| 0|eng d
020			_a9783540775621 _99783540775621
024	7		_a10.1007/9783540775621 _2doi
035			_avtls000351475
039		9	_a201509030448 _bVLOAD _c201405060251 _dVLOAD _y201402171138 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA370-380
100	1		_aTartar, Luc. _eautor _9332014
245	1	0	_aFrom Hyperbolic Systems to Kinetic Theory : _bA Personalized Quest / _cby Luc Tartar.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008.
300			_brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aLecture Notes of the Unione Matematica Italiana, _x1862-9113 ; _v6
500			_aSpringer eBooks
505	0		_aHistorical Perspective -- Hyperbolic Systems: Riemann Invariants, Rarefaction Waves -- Hyperbolic Systems: Contact Discontinuities, Shocks -- The Burgers Equation and the 1-D Scalar Case -- The 1-D Scalar Case: the E-Conditions of Lax and of Oleinik -- Hopf's Formulation of the E-Condition of Oleinik -- The Burgers Equation: Special Solutions -- The Burgers Equation: Small Perturbations; the Heat Equation -- Fourier Transform; the Asymptotic Behaviour for the Heat Equation -- Radon Measures; the Law of Large Numbers -- A 1-D Model with Characteristic Speed 1/? -- A 2-D Generalization; the Perron–Frobenius Theory -- A General Finite-Dimensional Model with Characteristic Speed 1/? -- Discrete Velocity Models -- The Mimura–Nishida and the Crandall–Tartar Existence Theorems -- Systems Satisfying My Condition (S) -- Asymptotic Estimates for the Broadwell and the Carleman Models -- Oscillating Solutions; the 2-D Broadwell Model -- Oscillating Solutions: the Carleman Model -- The Carleman Model: Asymptotic Behaviour -- Oscillating Solutions: the Broadwell Model -- Generalized Invariant Regions; the Varadhan Estimate -- Questioning Physics; from Classical Particles to Balance Laws -- Balance Laws; What Are Forces? -- D. Bernoulli: from Masslets and Springs to the 1-D Wave Equation -- Cauchy: from Masslets and Springs to 2-D Linearized Elasticity -- The Two-Body Problem -- The Boltzmann Equation -- The Illner–Shinbrot and the Hamdache Existence Theorems -- The Hilbert Expansion -- Compactness by Integration -- Wave Front Sets; H-Measures -- H-Measures and “Idealized Particles” -- Variants of H-Measures -- Biographical Information -- Abbreviations and Mathematical Notation.
520			_aEquations of state are not always effective in continuum mechanics. Maxwell and Boltzmann created a kinetic theory of gases, using classical mechanics. How could they derive the irreversible Boltzmann equation from a reversible Hamiltonian framework? By using probabilities, which destroy physical reality! Forces at distance are non-physical as we know from Poincaré's theory of relativity. Yet Maxwell and Boltzmann only used trajectories like hyperbolas, reasonable for rarefied gases, but wrong without bound trajectories if the "mean free path between collisions" tends to 0. Tartar relies on his H-measures, a tool created for homogenization, to explain some of the weaknesses, e.g. from quantum mechanics: there are no "particles", so the Boltzmann equation and the second principle, can not apply. He examines modes used by energy, proves which equation governs each mode, and conjectures that the result will not look like the Boltzmann equation, and there will be more modes than those indexed by velocity!
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783540775614
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-540-77562-1 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942			_c14
999			_c298217 _d298217