论文标题
玻璃体方程的边界层解决方程
Boundary layer solution of the Boltzmann equation for specular boundary condition
论文作者
论文摘要
在论文中，我们建立了boltzmann方程的稳定边界层解决方案的存在，其镜面边界条件在$ l^2_ {x，v} \ cap l^\ infty_ {x，v} $中，在半空间中。获得了溶液的独特性，连续性和指数衰减，并且对于证明玻璃体方程的希尔伯特（Hilbert）扩展对于具有镜面边界条件的半空间问题而言，这种估计值很重要。
In the paper, we establish the existence of steady boundary layer solution of Boltzmann equation with specular boundary condition in $L^2_{x,v}\cap L^\infty_{x,v}$ in half-space. The uniqueness, continuity and exponential decay of the solution are obtained, and such estimates are important to prove the Hilbert expansion of Boltzmann equation for half-space problem with specular boundary condition.
