MARC Record from marc_columbia

LEADER: 03450cam a2200553Ii 4500
001 16039890
005 20220521225622.0
006 m o d
007 cr mn|||||||||
008 140208s2013 sz a ob 001 0 eng d
035 $a(OCoLC)ocn870211495
035 $a(NNC)16039890
040 $aOSU$beng$erda$epn$cOSU$dCOO$dCHVBK$dLLB$dOCLCF$dN$T$dYDXCP$dNOC$dOCL$dTEF$dN$T$dNJR$dOCLCQ$dINT$dOCLCQ$dOCLCO
019 $a872990366$a921827868
020 $a9783037196298$q(electronic bk.)
020 $a3037196297$q(electronic bk.)
020 $z9783037191293
035 $a(OCoLC)870211495$z(OCoLC)872990366$z(OCoLC)921827868
050 4 $aQC175.2$b.G35 2013
072 7 $aMAT$x005000$2bisacsh
072 7 $aMAT$x034000$2bisacsh
082 04 $a515.353$223
049 $aZCUA
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 $a1 online resource :$billustrations
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aZurich lectures in advanced mathematics
588 0 $aOnline resource; title from PDF title page (EBSCO, viewed February 24, 2017)
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"--Publisher's description.
504 $aIncludes bibliographical references and index.
650 0 $aTransport theory.
650 0 $aDifferential equations, Partial.
650 6 $aThéorie du transport.
650 6 $aÉquations aux dérivées partielles.
650 7 $aMATHEMATICS$xCalculus.$2bisacsh
650 7 $aMATHEMATICS$xMathematical Analysis.$2bisacsh
650 7 $aDifferential equations, Partial.$2fast$0(OCoLC)fst00893484
650 7 $aTransport theory.$2fast$0(OCoLC)fst01154987
655 4 $aElectronic books.
700 1 $aSaint-Raymond, Laure,$eauthor.
700 1 $aTexier, Benjamin,$eauthor.
830 0 $aZurich lectures in advanced mathematics.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16039890$zAll EBSCO eBooks
852 8 $blweb$hEBOOKS