Viscosity analysis on the Boltzmann equation |
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| Authors: | Min Ling Zheng Xiao Ping Yang |
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| Institution: | 1. School of Science, Huzhou Teachers College, Huzhou, 313000, P. R. China
2. School of Science, Nanjing University of Science & Technology, Nanjing, 210094, P. R. China
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| Abstract: | This paper is devoted to investigating the asymptotic properties of the renormalized solution to the viscosity equation ? t f ? + υ·? x f ? = Q(f ? ,f ? + ?Δ υ f ? as ? → 0+ We deduce that the renormalized solution of the viscosity equation approaches to the one of the Boltzmann equation inL 1((0,T) × ? N × ? N ). The proof is based on compactness analysis and velocity averaging theory. |
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| Keywords: | Viscosity Boltzmann equation renormalized solution viscosity coemcient defect measure |
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