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<p>This paper studies stationary supersonic compressible Euler flow in a two-dimensional finite straight nozzle. By introducing Glimm functionals with variable weights, we overcome the potential accumulation of successive reflections of weak waves between the two lateral walls, thus establish the existence of a weak entropy solution to a boundary-value problem of the Euler equations in the space of functions with bounded variations by a modified Glimm scheme.</p>

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Supersonic Euler Flow Through a Two-dimensional Finite Straight Nozzle

  • 期刊论文

  • 发表日期：

    2025年8月23日

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  • Qianfeng Li,
  • Ting Xiao,
  • Hairong Yuan

摘要

This paper studies stationary supersonic compressible Euler flow in a two-dimensional finite straight nozzle. By introducing Glimm functionals with variable weights, we overcome the potential accumulation of successive reflections of weak waves between the two lateral walls, thus establish the existence of a weak entropy solution to a boundary-value problem of the Euler equations in the space of functions with bounded variations by a modified Glimm scheme.