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
Full-text PDF Free Access
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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
- Yan Guo, The Vlasov-Poisson-Boltzmann system near Maxwellians, Comm. Pure Appl. Math. 55 (2002), no. 9, 1104–1135. MR 1908664, DOI https://doi.org/10.1002/cpa.10040
- Guo, Y. Decay and continuity of Boltzmann equation in bounded domains. Preprint, 2008.
References
- Guo, Y. The Vlasov-Poisson-Boltzmann system near Maxwellians. Comm. Pure Appl. Math., Vol. LV, 1104-1135 (2002). MR 1908664 (2003b:82050)
- 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
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.
