Dissipation Limit for the Compressible Navier-Stokes to Euler Equations in One-Dimensional Domains

• 作者: Shangfei Cui
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: COMPRESSIBLE NAVIER-STOKES EQUATIONS Vanishing Viscosity LIMIT RAREFACTION Waves Euler EQUATIONS
• 年，卷（期）: 2018,（10）
• 页码范围: 2142-2158
• 页数: 17页
• 分类号: O1

摘要

We prove that as the viscosity and heat-conductivity coefficients tend to zero, respectively, the global solution of the Navier-Stokes equations for one-dimensional compressible heat-conducting fluids with centered rarefaction data of small strength converges to the centered rarefaction wave solution of the corresponding Euler equations uniformly away from the initial discontinuity.