The Riemann Problem for Pressureless Fluid Dynamics with Distribution Solutions in Colombeau's Sense

被引：0
|
作者：
Jiaxin Hu
机构：
[1] The Young Scientist Laboratory of Mathematical Physics,
[2] Wuhan Institute of Physics and Mathematics,undefined
[3] Academia Sinica,undefined
[4] Wuhan 430071,undefined
[5] P.O.Box 71010,undefined
[6] P.R. China. E-mail: jxhu@wipm.whcnc.ac.cn,undefined
来源：
Communications in Mathematical Physics | 1998年 / 194卷
关键词：
Viscosity; Entropy; Shock Wave; Generalize Function; Initial Data;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The Riemann problem for the equations of pressureless fluid dynamics was considered. Solutions of this problem were constructed by employing the viscosity vanishing approach. For some initial data, solutions showed high singularity around the shock waves. A new mathematical theory of generalized functions initiated by J.F. Colombeau was applied to dealing with the multiplication of singular distributions. As a byproduct, the entropy condition was obtained for singular distribution solutions.
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页码：191 / 205
页数：14
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