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2010 / March Volume 5 No.1
Mixture lemma
Published Date
2010 / March
Title
Mixture lemma
Author
Hung-Wen Kuo, Tai-Ping Liu, Se Eun Noh
Keyword
Boltzmann equation, Mixture Lemma, Boltzmann euqation, Mixture Lemma
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Pagination
1-10
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.
AMS Subject
Classification
76P05, 35L65
Received
2010-02-16
Accepted
2010-02-16
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