MARC Record from Library of Congress

LEADER: 02982cam a22004337i 4500
001 2014430327
003 DLC
005 20150610081819.0
008 141023t20132013sz a f b 001 0 eng d
010 $a 2014430327
020 $a9783037191293 (pbk. : acid-free paper)
020 $a3037191295 (pbk. : acid-free paper)
035 $a(OCoLC)ocn876427669
040 $aCSt$beng$cSTF$erda$dOCLCO$dIPL$dCUS$dYDXCP$dOCLCA$dOCLCF$dOHX$dDLC
042 $alccopycat
050 00 $aQC175.2$b.G35 2013
072 7 $aQA$2lcco
072 7 $aQC$2lcco
082 04 $a515/.353$223
100 1 $aGallagher, Isabelle,$eauthor.
245 10 $aFrom Newton to Boltzmann :$bhard spheres and short-range potentials /$cIsabelle Gallagher, Laure Saint-Raymond, Benjamin Texier.
264 1 $aZürich, Switzerland :$bEuropean Mathematical Society,$c[2013]
264 4 $c©2013
300 $axi, 135 pages :$billustrations ;$c24 cm.
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
490 1 $aZurich lectures in advanced mathematics
520 $a"The question addressed in this monograph is the relationship between the time-reversible Newton dynamics for a system of particles interacting via elastic collisions, and the irreversible Boltzmann dynamics which gives a statistical description of the collision mechanism. Two types of elastic collisions are considered: hard spheres, and compactly supported potentials. Following the steps suggested by Lanford in 1974, we describe the transition from Newton to Boltzmann by proving a rigorous convergence result in short time, as the number of particles tends to infinity and their size simultaneously goes to zero, in the Boltzmann-Grad scaling. Boltzmann's kinetic theory rests on the assumption that particle independence is propagated by the dynamics. This assumption is central to the issue of appearance of irreversibility. For finite numbers of particles, correlations are generated by collisions. The convergence proof establishes that for initially independent configurations, independence is statistically recovered in the limit. This book is intended for mathematicians working in the fields of partial differential equations and mathematical physics, and is accessible to graduate students with a background in analysis." --$cSource other than Library of Congress.
504 $aIncludes bibliographical references (pages [130]-132) and indexes.
650 0 $aTransport theory.
650 0 $aDifferential equations, Partial.
650 7 $aDifferential equations, Partial.$2fast$0(OCoLC)fst00893484
650 7 $aTransport theory.$2fast$0(OCoLC)fst01154987
653 $aAtomic physics$aMatter constitution, properties$aStatistical physical phenomena$aTransport theory$aEarly 21st century
700 1 $aSaint-Raymond, Laure,$eauthor.
700 1 $aTexier, Benjamin,$eauthor.
710 2 $aEuropean Mathematical Society.
830 0 $aZurich lectures in advanced mathematics.