A class of compressible non-Newtonian fluids with external force and vacuum under no compatibility conditions

Boundary value problems

Zan Yang¹  Hongjun Yuan¹ 

[1] Institute of Mathematics, Jilin University, Changchun, P.R. China

关键词: non-Newtonian fluid;    vacuum;    strong solution;    76N10;    76A05;   

DOI  :  10.1186/s13661-016-0708-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We are concerned with the Cauchy problem for a class of compressible non-Newtonian fluids on the whole one-dimensional space with external force and vacuum. It is proved that the Cauchy problem for a class of compressible non-Newtonian fluids with external force and vacuum admits a unique local strong solution under no compatibility conditions.

【 授权许可】

CC BY