Bingham Viscoplastic as a Limit of Non-Newtonian Fluids

被引：37

作者：

Shelukhin, V. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Div, Lavrentyev Inst Hydrodynam, Lavrentyev Pr 15, Novosibirsk 630090, Russia

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2002年 / 4卷 / 02期

关键词：

Viscous incompressible non-Newtonian fluid; weak existence; Stefan problem;

D O I：

10.1007/s00021-002-8538-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new formulation is proposed for the equations of the Bingham viscoplastic. Global existence of x-periodic solutions is proved. A uniqueness theorem is established in the two-dimensional case. A relation with the G. Duvaut-J. L. Lions variational inequality is discussed, and a result on equivalence is obtained. The question of interaction between fluid-rigid phases is studied when the initial state is rigid. A free-boundary problem that describes two-phase one-dimensional flows is considered.

引用

页码：109 / 127

页数：19

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