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| 一类可压缩非牛顿流解的爆破准则 | |
| 引用本文： | 李华鹏,朱秀丽,李鹏松,袁洪君. 一类可压缩非牛顿流解的爆破准则[J]. 吉林大学学报(理学版), 2014, 52(5): 969-970 |
| 作者姓名： | 李华鹏 朱秀丽 李鹏松 袁洪君 |
| 作者单位： | 1. 东北电力大学 理学院, 吉林 吉林 132012； 2. 吉林大学 数学学院, 长春 130012 |
| 基金项目： | 国家自然科学基金，博士点基金，吉林省科技发展计划项目，东北电力大学博士科研启动基金 |
| 摘 要： | 利用反证法研究一类真空可压缩非牛顿流体,给出了其强解的爆破准则.即当时间t趋于临界时间T*时,若速度的导数是有界的,则该局部强解关于时间可以延拓成整体解.特别地,允许初始密度含有真空的情形. |
| 关 键 词： | 爆破准则 可压缩非牛顿流体 真空 强解 |
| 收稿时间： | 2014-06-26 |
Blow-up Criterion for a Class of Compressible Non-Newtonian Fluids with Vacuum |
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| LI Huapeng,ZHU Xiuli,LI Pengsong,YUAN Hongjun. Blow-up Criterion for a Class of Compressible Non-Newtonian Fluids with Vacuum[J]. Journal of Jilin University: Sci Ed, 2014, 52(5): 969-970 | |
| Authors: | LI Huapeng ZHU Xiuli LI Pengsong YUAN Hongjun |
| Affiliation: | 1. College of Science, Northeast Dianli University, Jilin 132012, Jilin Province, China;2. College of Mathematics, Jilin University, Changchun 130012, China |
| Abstract: | We obtained a blow up criterion for strong solutions to a class of compressible non-Newtonian fluids just in terms of the derivative of the velocity using the proof of contradiction. In other words, if the derivative of the velocity remains bounded as time t approaches to the critical time, a local strong solution can be continued globally in time. In addition, theinitial vacuum states are allowed in our cases. |
| Keywords: | blow-up criterion compressible non-Newtonian fluids vacuum strong solutions |
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