| 非牛顿黏性非凸守恒律方程冲击波解的稳定性 |
| |
| 引用本文： | 颜世栋,陈肖,陈亚洲.非牛顿黏性非凸守恒律方程冲击波解的稳定性[J].北京化工大学学报(自然科学版),2017,44(3):119-122. |
| |
| 作者姓名： | 颜世栋 陈肖 陈亚洲 |
| |
| 作者单位： | 北京化工大学理学院,北京,100029;北京化工大学理学院,北京,100029;北京化工大学理学院,北京,100029 |
| |
| 摘 要： | 讨论了带有Carreau型黏性的非牛顿流体非凸守恒律方程Cauchy问题冲击波解的渐近稳定性。在小扰动情况下，运用单调算子理论以及加权能量估计方法，证明了该类黏性非凸守恒律方程的黏性冲击波解是渐近稳定的，这一结果对冲击波的强度没有限制条件。
|
| 关 键 词： | 守恒律方程 冲击波解 加权能量估计 非牛顿黏性 非凸 |
| 收稿时间： | 2016-10-26 |
Stability of shock wave solutions for non-Newtonian viscous non-convex conservation laws |
| |
| YAN ShiDong,CHEN Xiao,CHEN YaZhou.Stability of shock wave solutions for non-Newtonian viscous non-convex conservation laws[J].Journal of Beijing University of Chemical Technology,2017,44(3):119-122. |
| |
| Authors: | YAN ShiDong CHEN Xiao CHEN YaZhou |
| |
| Institution: | Faculty of Science, Beijing University of Chemical Technology, Beijing 100029, China |
| |
| Abstract: | The asymptotic stability of the shock wave solutions to the Cauchy problem for viscosity non-convex conservation laws of the Carreau type is discussed.In the case of small perturbations,the monotone operator theory and the weighted energy estimation method are used to prove that the viscous shock wave solutions of this kind of viscous non-convex conservation law equation are asymptotically stable,and this result is not affected by the strength of the shock wave. |
| |
| Keywords: | equation of viscosity conservation law shock wave solution weighted energy estimation non-Newtonian viscosity non-convex |
| 本文献已被 CNKI 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 |
