000 03425nam a22005295i 4500
001 978-3-540-73705-6
003 DE-He213
005 20190213151905.0
007 cr nn 008mamaa
008 100301s2008 gw | s |||| 0|eng d
020 _a9783540737056
_9978-3-540-73705-6
024 7 _a10.1007/978-3-540-73705-6
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aMAT029000
_2bisacsh
072 7 _aPBT
_2thema
072 7 _aPBWL
_2thema
082 0 4 _a519.2
_223
100 1 _aRezakhanlou, Fraydoun.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aEntropy Methods for the Boltzmann Equation
_h[electronic resource] :
_bLectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 /
_cby Fraydoun Rezakhanlou, Cédric Villani ; edited by François Golse, Stefano Olla.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _aXII, 113 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1916
520 _aEntropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level. During a special semester on Hydrodynamic Limits at the Centre Émile Borel in Paris, 2001 two of the research courses were held by C. Villani and F. Rezakhanlou. Both illustrate the major role of entropy and entropy production in a mutual and complementary manner and have been written up and updated for joint publication. Villani describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields, including information theory, logarithmic Sobolev inequalities and fluid mechanics. Rezakhanlou discusses four conjectures for the kinetic behaviour of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.
650 0 _aDistribution (Probability theory.
650 0 _aDifferential equations, partial.
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19005
700 1 _aVillani, Cédric.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aGolse, François.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aOlla, Stefano.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540841142
776 0 8 _iPrinted edition:
_z9783540737049
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1916
856 4 0 _uhttps://doi.org/10.1007/978-3-540-73705-6
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c12241
_d12241