Rotational and self-similar solutions to the 2D Euler equations for Chaplygin gas

IF 1.5 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Modern Physics Letters A Pub Date : 2024-04-08 DOI:10.1142/s0217732324750026

Guangpu Lou, Jianwei Dong

引用次数: 0

Abstract

In this paper, we study the 2D Euler equations for Chaplygin gas, which is a model for dark energy of the universe in some of cosmology theories. By using an ansatz developed by Yuen, we present some rotational and self-similar analytical solutions. We obtain the global existence of the constructed solutions and investigate the qualitative properties of the gas density according to various parameters.

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查普利金气体二维欧拉方程的旋转解和自相似解

本文研究了查普利金气体的二维欧拉方程，查普利金气体是一些宇宙学理论中的宇宙暗能量模型。通过使用袁隆平提出的一个等式，我们给出了一些旋转和自相似的解析解。我们得到了所建解的全局存在性，并研究了气体密度随不同参数的定性性质。

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

Modern Physics Letters A 物理-物理：核物理

CiteScore

3.10

自引率

7.10%

发文量

186

审稿时长

3 months

期刊介绍： This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.