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<p>For the study of gas motions, there are three main models: the Euler equations, Navier–Stokes equations, and Boltzmann equation. These models have distinct features within singular layers. The aim of the present article is to study their different behaviors within the initial layer. We illustrate this through explicit calculations for propagation of discontinuities and formation of nonlinear waves in the solutions of the Riemann problem.</p>

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Singularity for Euler, Navier–Stokes, and Boltzmann equations

  • 期刊论文

  • 发表日期：

    2025年9月5日

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  • Tai-Ping Liu

摘要

For the study of gas motions, there are three main models: the Euler equations, Navier–Stokes equations, and Boltzmann equation. These models have distinct features within singular layers. The aim of the present article is to study their different behaviors within the initial layer. We illustrate this through explicit calculations for propagation of discontinuities and formation of nonlinear waves in the solutions of the Riemann problem.