Quarterly of Applied Mathematics Quarterly of Applied Mathematics
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Bounded solutions for the Boltzmann equation

Author(s): Yan Guo
Journal: Quart. Appl. Math.
MSC (2000): Primary 35Qxx; Secondary 35Bxx
Posted: October 28, 2009
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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:

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

PII: S0033-569X-09-01180-4
Received by editor(s): December 31, 2008
Posted: October 28, 2009
Dedicated: Dedicated to Professor W. A. Strauss on the occasion of his 70th birthday
Copyright of article: Copyright 2009, Brown University
The copyright for this article reverts to public domain after 28 years from publication.


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