2020/08/18 by Yan Guo, Feimin Huang, Yong Wang
Mathematics · #Advanced Mathematical Physics Problems #Boltzmann constant #Boltzmann equation #Boundary value problem #Compressible flow #Euler equations #Euler's formula #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #Reflection (computer programming) #Specular reflection #math.AP
paper · pdf · doi:10.1007/s00205-021-01651-6
65 pages, comments are welcome
arxiv created 2020/08/18 · openalex created_date 2020/08/24 · openalex publication_date 2021/04/26 · arxiv updated 2021/05/12 · openalex updated_date 2026/08/05
Boundary effects play an important role in the study of hydrodynamic limits in the Boltzmann theory. Based on a systematic derivation and study of the viscous layer equations and the L2 to L^∞ framework, 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.