caa a22 4500 467893284 CHVBK 20180406152755.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10955-006-9208-6 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9208-6 Fournier Nicolas Centre de Mathématiques, Faculté de Sciences et Technologie, Université Paris XII, 61 avenue du Général de Gaulle, 94 010, Créteil Cedex, France aut Uniqueness for a Class of Spatially Homogeneous Boltzmann Equations Without Angular Cutoff [Elektronische Daten] [Nicolas Fournier] We consider the 3-dimensional spatially homogeneous Boltzmann equation, which describes the evolution in time of the velocity distribution in a gas, where particles are assumed to undergo binary elastic collisions. We consider a cross section bounded in the relative velocity variable, without angular cutoff, but with a moderate angular singularity. We show that there exists at most one weak solution with finite mass and momentum. We use a Wasserstein distance. Although our result is far from applying to physical cross sections, it seems to be the first one which deals with cross sections without cutoff for non Maxwellian molecules. Springer Science+Business Media, LLC, 2006 Boltzmann equation nationallicence Uniqueness nationallicence Wasserstein distance nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/4(2006-11-01), 923-942 0022-4715 125:4<923 2006 125 10955 https://doi.org/10.1007/s10955-006-9208-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9208-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fournier Nicolas Centre de Mathématiques, Faculté de Sciences et Technologie, Université Paris XII, 61 avenue du Général de Gaulle, 94 010, Créteil Cedex, France aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/4(2006-11-01), 923-942 0022-4715 125:4<923 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer