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.
@article{M2AN_2003__37_2_345_0, author = {Desvillettes, Laurent and Salvarani, Francesco}, title = {Characterization of collision kernels}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis }, pages = {345--355}, publisher = {EDP-Sciences}, volume = {37}, number = {2}, year = {2003}, doi = {10.1051/m2an:2003030}, zbl = {1047.76114}, mrnumber = {1991205}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003030/} }
TY - JOUR AU - Desvillettes, Laurent AU - Salvarani, Francesco TI - Characterization of collision kernels JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2003 SP - 345 EP - 355 VL - 37 IS - 2 PB - EDP-Sciences UR - https://geodesic-test.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis %D 2003 %P 345-355 %V 37 %N 2 %I EDP-Sciences %U https://geodesic-test.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 2, pp. 345-355. doi : 10.1051/m2an:2003030. https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003030/
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