Summary: Session ``L'Etat de la Recherche'' de la S.M.F.
Equations Cin'etiques
Orl'eans, 4­6 juin 1998
Introduction to the mathematical theory of kinetic
equations
F. Bouchut
Universit'e d'Orl'eans et CNRS, UMR 6628
D'epartement de Math'ematiques
BP 6759
45067 Orl'eans cedex 2, France
e­mail: fbouchut@labomath.univ­orleans.fr
Abstract
In this course, we introduce kinetic equations, and notably the Vlasov­Poisson
and Vlasov­Maxwell systems, and we describe their mathematical structure. We
give an overview of the classical ingredients used in this domain: transport equa­
tions theory, a priori estimates, averaging lemmas, dispersion estimates.
Summary
1 Theory of characteristics
2 The kinetic transport equation
3 Weak solutions for Vlasov­Poisson and Vlasov­Maxwell

Source: Arnold, Anton - Institut für Analysis und Scientific Computing, Technische Universität Wien

Collections: Mathematics