Please use this identifier to cite or link to this item: doi:10.22028/D291-26250
Title: On estimates of the Boltzmann collision operator with cutoff
Author(s): Duduchava, Roland
Kirsch, Ralf
Rjasanow, Sergej
Language: English
Year of Publication: 2003
Free key words: Boltzmann equation
kinetic theory of gases
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: We present new estimates of the Boltzmann collision operator in weighted Lebesgue and Bessel potential spaces. The main focus is put on hard potentials under the assumption that the angular part of the collision kernel fulfills some weighted integrability condition. In addition, the proofs for some previously known \mathbb{L}_{p^{-}} estimates have been considerably shortened and carried out by elementary methods. For a class of metric spaces, the collision integral is seen to be a continous operator into the same space. Furthermore, we give a new pointwise lower bound as well as asymptotic estimates for the loss term without requiring that the entropy is finite.
Link to this record: urn:nbn:de:bsz:291-scidok-44434
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 97
Date of registration: 5-Jan-2012
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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