粘滞性粒子动力学中的二维非自相似初值问题

孙文华; 盛万成

粘滞性粒子动力学中的二维非自相似初值问题

孙文华^1,2,
盛万成¹

1.
上海大学数学系,上海 200444;2.山东理工大学数学与信息科学学院,山东淄博 255049

基金项目: 国家自然科学基金资助项目(10671120)

详细信息

作者简介:
孙文华(1976- ),男,山东人,博士(联系人.E-mail:sunwenhua@tom.com).

中图分类号: O175.27
计量
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- 被引次数: 0
出版历程
- 收稿日期: 2006-07-05
- 修回日期: 2007-05-18
- 刊出日期: 2007-09-15

Two Dimensional Non-Selfsimilar Initial Value Problem for Adhesion Particle Dynamics

SUN Wen-hua^1,2,
SHENG Wan-cheng¹

1.
Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China;

摘要

摘要: 研究了二维粘滞性粒子动力学中的非自相似初值问题．该初值被一圆环分为内外两块常状态．利用广义特征分析的方法和广义Rankine-Hugoniot关系,该关系是常微分方程组,一个包含狄拉克激波和真空的整体解被构造性地得到．
- 粘滞性粒子动力学 /
- 广义Rankine-Hugoniot关系 /
- 熵条件 /
- 狄拉克激波 /
- 真空
Abstract: Two dimensional non-selfsimilar initial value problem for adhesion particle dynamics with two pieces constant states separated by a circular is considered. By using the generalized characteristic method and the generalized Rankine-Hugoniot relation which is a system of ordinary equations, unique solution which includes delta-shock waves and vacuum is constructed.
- Adhesion particle dynamics /
- generalized Rankine-Hugoniot relation /
- entropy condition /
- delta-shock /
- vacuum

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参考文献(18)

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