THE VON NEUMANN PARADOX FOR THE EULER EQUATIONS

• 作者: Li WANG
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（3）
• 页码范围: 753-763
• 页数: 11页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.03.008

摘要

The reflection of a weak shock wave is considered using a shock polar.We present a sufficient condition under which the von Neumann paradox appears for the Euler equations.In an attempt to resolve the von Neumann paradox for the Euler equations,two new types of reflection configuration,one called the von Neumann reflection(vNR)and the other called the Guderley reflection(GR),are observed in numerical calculations.Finally,we obtain that GR is a reasonable configuration and vNR is an unreasonable configuration to resolve the von Neumann paradox.