Hydrodynamic Limit of a Kinetic Gas Flow Past an Obstacle
Hydrodynamic Limit of a Kinetic Gas Flow Past an Obstacle
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DOI：
10.1007/s00220-018-3173-1
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发表时间：
2017-02
影响因子：
2.4
通讯作者：
R. Esposito;Yan Guo;R. Marra
中科院分区：
文献类型：
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作者：
R. Esposito;Yan Guo;R. Marra
给定一个障碍物，在无穷远处具有小振幅的非零速度，我们构造了以规定速度绕着该障碍物流动的唯一稳态Boltzmann解，该解在平均自由路径趋于零时接近相应的Navier-Stokes稳态流。此外，我们建立了Boltzmann解与其Navier-Stokes近似之间的误差估计。我们的方法包括无界外域的newl6和l3估计，以及一个保持分布函数正性的迭代方案。
Given an obstacle inand a non-zero velocity with small amplitude at the infinity, we construct the unique steady Boltzmann solution flowing around such an obstacle with the prescribed velocity as, which approaches the corresponding Navier–Stokes steady flow, as the mean-free path goes to zero. Furthermore, we establish the error estimate between the Boltzmann solution and its Navier–Stokes approximation. Our method consists of newL6andL3estimates in the unbounded exterior domain, as well as an iterative scheme preserving the positivity of the distribution function.