吉林大学学报(理学版)Issue(5):969-970,2.DOI:10.13413/j.cnki.jdxblxb.2014.05.19
一类可压缩非牛顿流解的爆破准则
Blow-up Criterion for a Class of Compressible Non-Newtonian Fluids with Vacuum
摘要
Abstract
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.关键词
爆破准则/可压缩非牛顿流体/真空/强解Key words
blow-up criterion/compressible non-Newtonian fluids/vacuum/strong solutions分类
数理科学引用本文复制引用
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,(5):969-970,2.基金项目
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)和东北电力大学博士科研启动基金(批准号:BSJXM-201331) (批准号:11271153)