Acoustic limit for the Boltzmann equation in optimal scaling
نویسندگان
چکیده
منابع مشابه
Acoustic Limit for the Boltzmann equation in Optimal Scaling
Based on a recent L-L framework, we establish the acoustic limit of the Boltzmann equation for general collision kernels. The scaling of the fluctuations with respect to Knudsen number is optimal. Our approach is based on a new analysis of the compressible Euler limit of the Boltzmann equation, as well as refined estimates of Euler and acoustic solutions.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2009
ISSN: 0010-3640,1097-0312
DOI: 10.1002/cpa.20308