| 三维可压Euler方程简单波及双重波结构 |
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| 引用本文： | 蔡宇欣,盛万成.三维可压Euler方程简单波及双重波结构[J].应用数学与计算数学学报,2010,24(2):75-79. |
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| 作者姓名： | 蔡宇欣 盛万成 |
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| 作者单位： | [1]上海大学上海市应用数学与力学研究所,上海200072 [2]上海大学理学院数学系,上海200444 |
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| 基金项目： | 国家自然科学基金，上海市教委重点学科:，上海市教委创新基金重点项目: |
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| 摘 要： | 本文研究了三维可压欧拉方程简单波解和双重波解的结构.给出了简单波的流动区域是被一族相互独立的平面所覆盖,沿着每个平面u,v,w从而p,ρ,c均为常数.双重波的流动区域是被一族相互独立的直线所覆盖,沿着每个特征平面u,v,w从而p,ρ,c均为常数.
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| 关 键 词： | 三维可压欧拉方程 拟定常流 无旋 简单波 双重波 |
The Simple Waves and Double Waves Patterns for Three-Dimensional Compressible Euler Equations |
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| Cai Yuxin,Sheng Wancheng.The Simple Waves and Double Waves Patterns for Three-Dimensional Compressible Euler Equations[J].Communication on Applied Mathematics and Computation,2010,24(2):75-79. |
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| Authors: | Cai Yuxin Sheng Wancheng |
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| Institution: | Cai Yuxin Sheng Wancheng Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China Department of Mathematics,Shanghai University,Shanghai 200444,China |
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| Abstract: | In this paper,we are mainly concerned with simple waves and double waves of flow patterns for three-dimensional compressible Euler equations.The three-dimensional isentropic ir-rotational steady simple waves are a type of flow whose flow region is covered by a one parametric family of independent planes,along each of which u,v,w and consequently p,ρ,c remain constant,double waves are a type of flow whose flow region is covered by a two parametric family of independent lines,along each of which u,v,w and consequently p,ρ,c also remain constant. |
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| Keywords: | three-dimensional Euler equations isentropic ir-rotational simple waves double waves |
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