二维有限直喷管中的超声速欧拉流

IF 1.3 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2025-08-23 DOI:10.1007/s00021-025-00969-5

Qianfeng Li, Ting Xiao, Hairong Yuan

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引用次数: 0

摘要

本文研究了二维有限直喷管内的静止超声速可压缩欧拉流。通过引入变权的Glimm泛函，克服了弱波在两侧壁间连续反射的潜在积累，从而用改进的Glimm格式建立了有界变分函数空间中欧拉方程边值问题的弱熵解的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Supersonic Euler Flow Through a Two-dimensional Finite Straight Nozzle

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Supersonic Euler Flow Through a Two-dimensional Finite Straight Nozzle

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.

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来源期刊

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.