Analytical solutions to the Euler equations for Chaplygin gas

被引：0

作者：

Jiang, Hongjing ^{[1
]}

Dong, Jianwei ^{[2
]}

机构：

[1] Huanghe Sci & Technol Coll, Fac Engn, Zhengzhou 450063, Peoples R China

[2] Zhengzhou Univ Aeronaut, Sch Math, Zhengzhou 450015, Peoples R China

来源：

PHYSICA SCRIPTA | 2024年 / 99卷 / 06期

关键词：

compressible Euler equations; Chaplygin gas; analytical solutions; DELTA INITIAL DATA; RIEMANN PROBLEM; AXISYMMETRICAL SOLUTIONS; GLOBAL EXISTENCE; BLOWUP PHENOMENA; SMOOTH SOLUTIONS; SINGULARITIES; WAVES; FLOWS;

D O I：

10.1088/1402-4896/ad46c3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the analytical solutions to the Euler equations for Chaplygin gas. First, we construct two exact solutions for the one-dimensional system by using a self-similar ansatz. Second, we present some analytical solutions for the N-dimensional radially symmetric system. Third, we extend the above results to the two-phase flow case. The concentration and cavitation phenomena are observed from the constructed solutions.

引用

页数：11

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