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.
We obtained a blow-up criterion for strong solutions to a class of compressible non-Newtonian fluids j ust 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,the initial vacuum states are allowed in our cases.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2014年第5期969-970,共2页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11271153)
博士点基金(批准号:20140101-20161231)
吉林省科技发展计划项目(批准号:20130101065JC)
东北电力大学博士科研启动基金(批准号:BSJXM-201331)
关键词
爆破准则
可压缩非牛顿流体
真空
强解
blow-up criterion
compressible non-Newtonian fluids
vacuum
strong solutions