Some Estimates on the Boltzmann Collision Operator

  • The paper presents some new estimates on the gain term of the Boltzmann collision operator. For Maxwellian molecules, it is shown that the L -norm of the gain term can be bounded in terms of the L1 and L -norm of the density function f. In the case of more general collision kernels, like the hard-sphere interaction potential, the gain term is estimated pointwise by the L -norm of the density function and the loss term of the Boltzmann collision operator.

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Author:Jens Struckmeier
URN (permanent link):urn:nbn:de:hbz:386-kluedo-5687
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (165)
Document Type:Preprint
Language of publication:English
Year of Completion:1996
Year of Publication:1996
Publishing Institute:Technische Universität Kaiserslautern
Tag:Boltzmann Equation ; Collision Operator; Kinetic Theory of Gases
Source:Math. Mod. & Meth. Appl. Sci., Vol. 7, No. 7, 1023-1033 (1997)
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):76P05 Rarefied gas flows, Boltzmann equation [See also 82B40, 82C40, 82D05]

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