The Boltzmann equation with weakly inhomogeneous data in bounded domain

2016/04/19 by Yan Guo, Guo, Yan, Shuangqian Liu +1
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1604.05760

openalex publication_date 2016/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is concerned with the Boltzmann equation with specular reflection boundary condition. We construct a unique global solution and obtain its large time asymptotic behavior in the case that the initial data is close enough to a radially symmetric homogeneous datum. The result extends the case of Cauchy problem considered by Arkeryd-Esposito-Pulvirenti [Comm. Math. Phys. 111(3): 393-407 (1987)] to the specular reflection boundary value problem in bounded domain.

Related

• The Boltzmann equation with large-amplitude initial data and specular reflection boundary condition
• The Boltzmann Equation with Large-amplitude Initial Data in Bounded Domains
• Boltzmann equation with mixed boundary condition
• Global solutions in L^p_vL^∞_x for the Boltzmann equation in bounded domains
• Rarefied gas dynamics with external fields under specular reflection boundary condition