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  • Séminaire Laurent Schwartz — EDP et applications
  • Année 2011-2012
  • Exposé no. 23
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Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator
N. Lerner1 ; Y. Morimoto2 ; K. Pravda-Starov3 ; C.-J. Xu4
1 Institut de Mathématiques de Jussieu Université Pierre et Marie Curie (Paris VI) 4 Place Jussieu 75252 Paris cedex 05 France
2 Graduate School of Human and Environmental Studies Kyoto University Kyoto 606-8501 Japan
3 Université de Cergy-Pontoise CNRS UMR 8088 Département de Mathématiques 95000 Cergy-Pontoise France
4 School of Mathematics Wuhan university 430072 Wuhan P.R. China and Université de Rouen CNRS UMR 6085 Département de Mathématiques 76801 Saint-Etienne du Rouvray France
Séminaire Laurent Schwartz — EDP et applications (2011-2012), Exposé no. 23, 10 p.
  • Résumé

We provide some new explicit expressions for the linearized non-cutoff radially symmetric Boltzmann operator with Maxwellian molecules, proving that this operator is a simple function of the standard harmonic oscillator. A detailed article is available on arXiv [15].

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DOI : 10.5802/slsedp.18
Affiliations des auteurs :
N. Lerner 1 ; Y. Morimoto 2 ; K. Pravda-Starov 3 ; C.-J. Xu 4

1 Institut de Mathématiques de Jussieu Université Pierre et Marie Curie (Paris VI) 4 Place Jussieu 75252 Paris cedex 05 France
2 Graduate School of Human and Environmental Studies Kyoto University Kyoto 606-8501 Japan
3 Université de Cergy-Pontoise CNRS UMR 8088 Département de Mathématiques 95000 Cergy-Pontoise France
4 School of Mathematics Wuhan university 430072 Wuhan P.R. China and Université de Rouen CNRS UMR 6085 Département de Mathématiques 76801 Saint-Etienne du Rouvray France
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@article{SLSEDP_2011-2012____A23_0,
     author = {N. Lerner and Y. Morimoto and K. Pravda-Starov and C.-J. Xu},
     title = {Hermite basis diagonalization for the non-cutoff radially symmetric linearized {Boltzmann} operator},
     journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
     note = {talk:23},
     pages = {1--10},
     publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2011-2012},
     doi = {10.5802/slsedp.18},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.18/}
}
TY  - JOUR
AU  - N. Lerner
AU  - Y. Morimoto
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AU  - C.-J. Xu
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JO  - Séminaire Laurent Schwartz — EDP et applications
N1  - talk:23
PY  - 2011-2012
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PB  - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.18/
DO  - 10.5802/slsedp.18
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ID  - SLSEDP_2011-2012____A23_0
ER  - 
%0 Journal Article
%A N. Lerner
%A Y. Morimoto
%A K. Pravda-Starov
%A C.-J. Xu
%T Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator
%J Séminaire Laurent Schwartz — EDP et applications
%Z talk:23
%D 2011-2012
%P 1-10
%I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
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%R 10.5802/slsedp.18
%G en
%F SLSEDP_2011-2012____A23_0
N. Lerner; Y. Morimoto; K. Pravda-Starov; C.-J. Xu. Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator. Séminaire Laurent Schwartz — EDP et applications (2011-2012), Exposé no. 23, 10 p. doi : 10.5802/slsedp.18. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.18/
  • Bibliographie
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[15] N. Lerner, Y. Morimoto, K. Pravda-Starov, C.-J. Xu, Diagonalization of the Linearized Non-Cutoff Radially Symmetric Boltzmann Operator, preprint, arXiv:1111.0423v1.

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