Acoustic Limit for the Boltzmann equation in Optimal Scaling
Analysis of PDEs
2009-01-16 v1 Mathematical Physics
math.MP
Abstract
Based on a recent 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.
Keywords
Cite
@article{arxiv.0901.2290,
title = {Acoustic Limit for the Boltzmann equation in Optimal Scaling},
author = {Yan Guo and Juhi Jang and Ning Jiang},
journal= {arXiv preprint arXiv:0901.2290},
year = {2009}
}