Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Bounded solutions for the Boltzmann equation

Author: Yan Guo
Journal: Quart. Appl. Math. 68 (2010), 143-148
MSC (2000): Primary 35Qxx; Secondary 35Bxx
DOI: https://doi.org/10.1090/S0033-569X-09-01180-4
Published electronically: October 28, 2009
MathSciNet review: 2598886
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Abstract | References | Similar Articles | Additional Information

Abstract: In either a periodic box $ \mathbf{T}^{d}$ or $ \mathbf{R}^{d}$ ( $ 1\leq d\leq 3 )$, we establish a unified $ L^{\infty }$ estimate for solutions near Maxwellians for the Boltzmann equation, in terms of natural mass, momentum, energy conservation and the entropy inequality.

References [Enhancements On Off] (What's this?)

  • 1. Guo, Y. The Vlasov-Poisson-Boltzmann system near Maxwellians. Comm. Pure Appl. Math., Vol. LV, 1104-1135 (2002). MR 1908664 (2003b:82050)
  • 2. Guo, Y. Decay and continuity of Boltzmann equation in bounded domains. Preprint, 2008.

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Additional Information

Yan Guo
Affiliation: Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912
Email: guoy@dam.brown.edu

DOI: https://doi.org/10.1090/S0033-569X-09-01180-4
Received by editor(s): December 31, 2008
Published electronically: October 28, 2009
Dedicated: Dedicated to Professor W. A. Strauss on the occasion of his 70th birthday
Article copyright: © Copyright 2009 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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