Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space
Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space
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DOI：
10.1007/s00205-021-01651-6
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发表时间：
2020-08
影响因子：
2.5
通讯作者：
Yan Guo;F. Huang;Yong Wang
中科院分区：
文献类型：
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作者：
Yan Guo;F. Huang;Yong Wang
在玻尔兹曼理论中，边界效应在流体力学极限的研究中起着重要的作用。在系统研究粘性层方程和理论框架的基础上，建立了具有镜面反射边界条件的Boltzmann方程的Hilbert展开式的有效性，从而导出了半空间中可压缩的Euler方程和声学方程。
Boundary effects play an important role in the study of hydrodynamic limits in the Boltzmann theory. Based on a systematic study of the viscous layer equations and thetoframework, we establish the validity of the Hilbert expansion for the Boltzmann equation with specular reflection boundary conditions, which leads to derivations of compressible Euler equations and acoustic equations in half-space.