Solutions with Concentration to the Riemann Problem for the One-Dimensional Chaplygin Gas Equations

被引：2

作者：

Y. Brenier

机构：

[1] CNRS FR 2800,

来源：

Journal of Mathematical Fluid Mechanics | 2005年 / 7卷

关键词：

35L60; 65M06; 76N15; Gas dynamics; conservation laws; Riemann problem; finite difference;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate the Riemann problem for the one-dimensional Chaplygin gas dynamics equations. We show that it can be solved provided concentration effects are taken into account. Then, the Lax–Friedrichs scheme, with unit CFL number, is shown to be consistent with our solution to the Riemann problem.

引用

页码：S326 / S331

共 50 条

[1] Solutions with concentration to the Riemann problem for the one-dimensional chaplygin gas equations
Brenier, Y
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2005, 7 (Suppl 3) : S326 - S331
[2] THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE ONE-DIMENSIONAL CHAPLYGIN GAS EQUATIONS
王振
张庆玲
[J]. Acta Mathematica Scientia, 2012, 32 (03) : 825 - 841
[3] THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE ONE-DIMENSIONAL CHAPLYGIN GAS EQUATIONS
Wang Zhen
Zhang Qingling
[J]. ACTA MATHEMATICA SCIENTIA, 2012, 32 (03) : 825 - 841
[4] The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source term
Guo, Lihui
Li, Tong
Pan, Lijun
Han, Xinli
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 41 : 588 - 606
[5] Generalized Riemann problem for the one-dimensional Chaplygin gas with a friction term
Singh, Mayank
Arora, Rajan
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2023, 148
[6] Measure solutions of one-dimensional piston problem for compressible Euler equations of Chaplygin gas
Qu, Aifang
Yuan, Hairong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 481 (01)
[7] The Riemann problem for one dimensional generalized Chaplygin gas dynamics
Wang, Guodong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 403 (02) : 434 - 450
[8] The transition of Riemann solutions of the modified Chaplygin gas equations with friction to the solutions of the Chaplygin gas equations
Guo, Lihui
Li, Tong
Yin, Gan
[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2022, 102 (03):
[9] Concentration Phenomenon of Riemann Solutions for the Relativistic Euler Equations with the Extended Chaplygin Gas
Zhang, Yunfeng
Sun, Meina
[J]. ACTA APPLICANDAE MATHEMATICAE, 2020, 170 (01) : 539 - 568
[10] Concentration Phenomenon of Riemann Solutions for the Relativistic Euler Equations with the Extended Chaplygin Gas
Yunfeng Zhang
Meina Sun
[J]. Acta Applicandae Mathematicae, 2020, 170 : 539 - 568

← 1 2 3 4 5 →