From Newton to Boltzmann: Hard Spheres and Short-range Potentials

	FrontmatterDownload pp. i–iv
	PrefaceDownload pp. v–vii
	ContentsDownload pp. ix–xi
	Part I Introductionp. 1
1	The low density limitpp. 2–6
2	The Boltzmann equationpp. 7–13
3	Main resultspp. 14–18
	Part II The case of hard spheresp. 19
4	Microscopic dynamics and BBGKY hierarchypp. 20–29
5	Uniform a priori estimates for the BBGKY and Boltzmann hierarchiespp. 30–38
6	Statement of the convergence resultpp. 39–48
7	Strategy of the proof of convergencepp. 49–56
	Part III The case of short-range potentialsp. 57
8	Two-particle interactionspp. 58–67
9	Truncated marginals and the BBGKY hierarchypp. 68–80
10	Cluster estimates and uniform a priori estimatespp. 81–90
11	Convergence result and strategy of proofpp. 91–97
	Part IV Termwise convergencep. 98
12	Elimination of recollisionspp. 99–108
13	Truncated collision integralspp. 109–116
14	Proof of convergencepp. 117–127
15	Concluding remarkspp. 128–129
	Bibliographypp. 130–132
	Notation Indexpp. 133–135
	Indexp. 137

Supplementary Material

Erratum-chapter5.pdf (587 KB)