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.
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页数：11
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