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JOURNAL OF MATHEMATICAL PHYSICS
Volume 51, Issue 12, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3516479
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In this paper, we are interested in the Cauchy problem for the Boltzmann-BGK model for a general class of collision frequencies. We prove that the Boltzmann-BGK model linearized around a global Maxwellian admits a unique global smooth solution if the initial perturbation is sufficiently small in a high order energy norm. We also establish an asymptotic decay estimate and uniform L-2-stability for nonlinear perturbations. (C) 2010 American Institute of Physics. [doi:10.1063/1.3516479]
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