Mixture lemma
by Hung-Wen Kuo   Tai-Ping Liu   Se Eun Noh  

Vol. 5 No. 1 (2010) P.1~P.10

ABSTRACT

The Mixture Lemma plays a central role in the study of the singularity of solutions of the Boltzmann equation. We offer a detailed proof of the lemma. The proof depends on the proper switching of the differentiations with respect to the space variables to those of the microscopic velocities, and depends on the precise regularity properties of the collision operator.

KEYWORDS
Boltzmann euqation, Mixture Lemma

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 76P05, 35L65

MILESTONES

Received: 2010-02-16
Revised :
Accepted: 2010-02-16

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