| 一维黏性可压缩流体冲击波解的渐近稳定性 |
| |
| 引用本文： | 陈亚洲,周培培,施小丁.一维黏性可压缩流体冲击波解的渐近稳定性[J].北京化工大学学报(自然科学版),2007,34(5):557-560. |
| |
| 作者姓名： | 陈亚洲 周培培 施小丁 |
| |
| 作者单位： | 北京化工大学理学院， 北京 100029 |
| |
| 摘 要： | 研究了一维黏性可压缩流体动力学动力学方程组，给出了在小扰动条件冲击波解的渐近稳定性。计算了在初始扰动相当小的情况下冲击波解的叠加，通过局部解的存在唯一性分析和先验估计，证明了叠加得到冲击波解在全局范围内是渐近稳定的。证明通过能量估计方法给出。
|
| 关 键 词： | 黏性可压缩流体 冲击波 渐近稳定性 能量方法 黏性可压缩流体 冲击波 渐近稳定性 能量方法 |
| 修稿时间： | 2007-05-16 |
Asymptotic stability of shock wave solutions of a one-dimensional model system for compressible viscous fluids |
| |
| CHEN YaZhou,ZHOU PeiPei,SHI XiaoDing.Asymptotic stability of shock wave solutions of a one-dimensional model system for compressible viscous fluids[J].Journal of Beijing University of Chemical Technology,2007,34(5):557-560. |
| |
| Authors: | CHEN YaZhou ZHOU PeiPei SHI XiaoDing |
| |
| Institution: | School of Science, Beijing University of Chemical Technology， Beijing 100029，China |
| |
| Abstract: | A one-dimensional model system of compressible viscous dynamic fluids has been investigated,and the asymptotic stability of the shock wave has been established under conditions of small perturbation.A superposition of the shock wave has been derived under conditions where the initial disturbance is sufficiently small.By means of existence and uniqueness of the local solution and the priori estimates,the superposition of the shock wave is shown to have asymptotic stability.The proof is based on the elementary energy method. |
| |
| Keywords: | viscous compressible fluids shock wave asymptotic stability energy method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《北京化工大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《北京化工大学学报(自然科学版)》下载免费的PDF全文 |
