| A Global Solution to a Two-dimensional Riemann Problem Involving Shocks as Free Boundaries |
| |
| 作者姓名： | YuxiZheng |
| |
| 作者单位： | DepartmentofMathematics,thePennsylvaniaStateUniversity,UniversityPark,PA16802 |
| |
| 基金项目： | Partially supported by NSF-DMS-0071858,0305497,0305114. |
| |
| 摘 要： | We present a global solution to a Riemann problem for the pressure gradient system of equations.The Riemann problem has initially two shock waves and two contact discontinuities. The angle between the two shock waves is set initially to be close to 180 degrees. The solution has a shock wave that is usually regarded as a free boundary in the self-similar variable plane. Our main contribution in methodology is handling the tangential oblique derivative boundary values.
|
| 关 键 词： | 全局解 二维Riemann问题 压力梯度方程 边值问题 超声学 |
| 收稿时间： | 28 August 2003 |
A Global Solution to a
Two-dimensional Riemann Problem Involving Shocks as Free
Boundaries |
| |
| YuxiZheng.A Global Solution to a Two-dimensional Riemann Problem Involving Shocks as Free Boundaries[J].Acta Mathematicae Applicatae Sinica,2003,19(4):559-572. |
| |
| Authors: | Email author" target="_blank">Yuxi?ZhengEmail author |
| |
| Institution: | (1) Department of Mathematics, the Pennsylvania State University, University Park, PA, 16802 |
| |
| Abstract: | We present a global solution to a Riemann problem for the pressure gradient system of equations. The Riemann problem has initially two shock waves and two contact discontinuities. The angle between the two shock waves is set initially to be close to 180 degrees. The solution has a shock wave that is usually regarded as a free boundary in the self-similar variable plane. Our main contribution in methodology is handling the tangential oblique derivative boundary values. |
| |
| Keywords: | Pressure gradient equation free boundary shock waves tangential oblique derivative 2-D Riemann problem gas dynamics |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
