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Etude mathématique de quelques modèles issus de la théorie cinétique

Abstract : In this thesis, we are interested in different kinetic equations. First, we consider a Landau-type equation for Fermi-Dirac particles. We investigate its well-posedness and we determine its equilibrium states. Then, in a second part, we are interested in moment systems for the relativistic Boltzmann equation and we determine the suitable relativistic moment spaces. In the third part, we consider a thermostated Kac equation without cut-off, for which we prove the existence of stationary states. Finally, the last part is devoted to the study of a coagulation equation, the Oort-Hulst-Safronov equation, which is approximated by discrete equations.
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Contributor : Véronique Bagland <>
Submitted on : Tuesday, April 4, 2006 - 7:14:17 PM
Last modification on : Wednesday, June 9, 2021 - 10:00:06 AM
Long-term archiving on: : Saturday, April 3, 2010 - 11:07:10 PM



  • HAL Id : tel-00012082, version 1


Véronique Bagland. Etude mathématique de quelques modèles issus de la théorie cinétique. Mathématiques [math]. Université Paul Sabatier - Toulouse III, 2005. Français. ⟨tel-00012082⟩



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