真空下一维可压非牛顿流强解的爆破准则  

Blowup criterion for strong solutions to compressible and non-Newtonian fluids with vacuum in one dimension

作　　者：佟丽宁[1] 孙岩岩 TONG Lining;SUN Yanyan(College of Sciences,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2018年第3期707-714,共8页Communication on Applied Mathematics and Computation

摘　　要：研究一类带有幂法则结构黏性项的可压缩非牛顿流模型.当初值允许存在真空并满足正则条件时,运用反证法证明了一维情况下非牛顿流强解的爆破准则.This paper concerns with a class of compressible non-Newtonian fluid models with viscous term of power-law structure.By using the reduction to absurdity,we prove a blowup criterion for the local strong solution of non-Newtonian fluids with vacuum in one-dimensional bounded intervals,under the assumption that the initial value satisfies a natural compatibility condition.

关 键 词：可压缩非牛顿流 真空 爆破准则 强解 

分 类 号：O175.29[理学—数学]