Analytical solutions to a class of non-Newtonian fluids with free boundaries

被引：12

作者：

Fang, Li ^{[1
]}

Guo, Zhenhua ^{[1
]}

机构：

[1] NW Univ Xian, Dept Math, Xian 710127, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 10期

关键词：

ANALYTICAL BLOWUP SOLUTIONS; COMPRESSIBLE VISCOUS-FLUID; EULER-POISSON EQUATIONS; NAVIER-STOKES EQUATIONS; GLOBAL SOLVABILITY; MULTIPOLAR FLUID; EXISTENCE; UNIQUENESS; VISCOSITY; VACUUM;

D O I：

10.1063/1.4748523

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study analytical solutions to a class of non-Newtonian fluids with free boundaries. For suitable non-Newtonian fluids, we construct a class of analytical solutions in R with both continuous density condition and the stress free condition across the free boundaries separating the fluid from vacuum. Such solutions exhibit interesting new information such as the formation of vacuum as time tends to infinitely and explicit regularities and large time decay estimates of the velocity field. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4748523]

引用

页数：11

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