In this paper we show how abstract physical requirements are enough to characterize the classical collision kernels appearing in kinetic equations. In particular Boltzmann and Landau kernels are derived.
Mots-clés : Boltzmann, Landau, collision kernels
@article{M2AN_2003__37_2_345_0,
author = {Desvillettes, Laurent and Salvarani, Francesco},
title = {Characterization of collision kernels},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {345--355},
publisher = {EDP-Sciences},
volume = {37},
number = {2},
year = {2003},
doi = {10.1051/m2an:2003030},
mrnumber = {1991205},
zbl = {1047.76114},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an:2003030/}
}
TY - JOUR AU - Desvillettes, Laurent AU - Salvarani, Francesco TI - Characterization of collision kernels JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2003 SP - 345 EP - 355 VL - 37 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2003030/ DO - 10.1051/m2an:2003030 LA - en ID - M2AN_2003__37_2_345_0 ER -
%0 Journal Article %A Desvillettes, Laurent %A Salvarani, Francesco %T Characterization of collision kernels %J ESAIM: Modélisation mathématique et analyse numérique %D 2003 %P 345-355 %V 37 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2003030/ %R 10.1051/m2an:2003030 %G en %F M2AN_2003__37_2_345_0
Desvillettes, Laurent; Salvarani, Francesco. Characterization of collision kernels. ESAIM: Modélisation mathématique et analyse numérique, Tome 37 (2003) no. 2, pp. 345-355. doi : 10.1051/m2an:2003030. http://www.numdam.org/articles/10.1051/m2an:2003030/
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