THE UNIQUENESS OF A TRANSONIC SHOCK IN A NOZZLE FOR THE 2-D COMPLETE EULER SYSTEM WITH THE VARIABLE END PRESSURE

• 来源期刊: 偏微分方程(英文版)
• 关键词: Steady Euler system supersonic flow subsonic flow transonic shock nozzle
• 年，卷（期）: 2008,（3）
• 页码范围: 263-288
• 页数: 26页
• 语种: 英文

摘要

In this paper, by use of the methods in [1-3], we establish the uniqueness of a 2-D transonic shock solution in a nozzle when the end pressure in the diverging part of the nozzle lies in an appropriate scope. Especially, we remove the crucial but unnatural assumption in recent references which the transonic shock must be assumed to go through a fixed point in advance.