中文摘要：

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。

英文摘要：

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.