F. Bouchut, Introduction to the mathematical theory of kinetic equations, in Session "L'Etat de la Recherche" of the Societe Mathematique de France, "Equation Cinetiques," Orleans, 1988, Series in Appl. Math., Elsevier, Amsterdam, New York, to appear.  Home/Search   Document Details and Download   Summary   Related Articles

....neatly into the kinetic formulation stated above. Finally, our analysis relies on so called velocity averaging lemmas first introduced by Golse, Lions, Perthame, and Sentis [GLPS 88] and further developed by DiPerna, Lions, and Meyer [DLM 91] and others. We refer to the survey article of Bouchut [Bo 98] for more references and recent results. The velocity averaging technique allows us to prove the strong compactness of a sequence of approximate solutions u h of problems (1.2) 1.4) The principal idea is that the macroscopic quantity u has more regularity than # whose v average it is. The ....

F. Bouchut, Introduction to the mathematical theory of kinetic equations, in Session "L'Etat de la Recherche" of the Societe Mathematique de France, "Equation Cinetiques," Orleans, 1988, Series in Appl. Math., Elsevier, Amsterdam, New York, to appear.

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