The Compressible Navier-Stokes Equations with Weak Viscosity and Heat Conductivity

• 作者: Hang Yang Liping Liu Wan Zhang
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: COMPRESSIBLE NAVIER-STOKES System Energy Estimate the HELMHOLTZ Decomposition ELLIPTIC ESTIMATES the GALERKIN Method
• 年，卷（期）: 2019,（2）
• 页码范围: 32-47
• 页数: 16页
• 分类号: O1

摘要

It is well known that the full compressible Navier-Stokes equations with viscosity and heat conductivity coefficients of order of the Knudsen number ò>0 can be deduced from the Boltzmann equation via the Chapman-Enskog expansion. In this paper, we carry out the rigorous mathematical study of the compressible Navier-Stokes equation with the initial-boundary value problems. We construct the existence and most importantly obtain the higher regularities of the solutions of the full compressible Navier-Stokes system with weak viscosity and heat conductivity in a general bounded domain.