Steady Supersonic Flows Past Lipschitz Wedges for Two-Dimensional Relativistic Euler Equations

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Mathematical Analysis Pub Date : 2024-08-02 DOI:10.1137/23m1600530

Min Ding, Yachun Li

引用次数: 0

Abstract

SIAM Journal on Mathematical Analysis, Volume 56, Issue 4, Page 5474-5520, August 2024.
Abstract. We are concerned with two-dimensional steady supersonic flows past Lipschitz wedges for the relativistic Euler equations. If the vertex angle of the upstream flow is less than the critical angle, determined by shock polar, then a shock wave is generated from the wedge vertex. When the total variations of the tangent angle of the boundary and the upstream flow are both suitably small, we establish global stability of entropy solutions, including a large 1-shock wave. Moreover, we obtain global nonrelativistic limits of the entropy solutions, and also investigate the asymptotic behavior of these solutions as [math]. It is worth mentioning that we demonstrate the basic properties of nonlinear waves for the two-dimensional steady relativistic Euler system, especially the geometric structure of shock polar.

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二维相对论欧拉方程中经过 Lipschitz 楔的稳定超音速流

SIAM 数学分析期刊》，第 56 卷第 4 期，第 5474-5520 页，2024 年 8 月。摘要。我们关注的是相对论欧拉方程中经过 Lipschitz 楔的二维稳定超音速流。如果上游流的顶点角小于由冲击极性确定的临界角，则会从楔形顶点产生冲击波。当边界切角和上游流的总变化都适当小的时候，我们建立了熵解的全局稳定性，包括一个大的 1 级冲击波。此外，我们还得到了熵解的全局非相对论极限，并研究了这些解的渐近行为[math]。值得一提的是，我们证明了二维稳定相对论欧拉系统非线性波的基本性质，尤其是冲击波极的几何结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Mathematical Analysis 数学-应用数学

CiteScore

3.30

自引率

5.00%

发文量

175

审稿时长

12 months

期刊介绍： SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods in such areas as partial differential equations, the calculus of variations, functional analysis, approximation theory, harmonic or wavelet analysis, or dynamical systems. Additionally, every paper relates to a model for natural phenomena in such areas as fluid mechanics, materials science, quantum mechanics, biology, mathematical physics, or to the computational analysis of such phenomena. Submission of a manuscript to a SIAM journal is representation by the author that the manuscript has not been published or submitted simultaneously for publication elsewhere. Typical papers for SIMA do not exceed 35 journal pages. Substantial deviations from this page limit require that the referees, editor, and editor-in-chief be convinced that the increased length is both required by the subject matter and justified by the quality of the paper.