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

共 27 条

[11] GENERAL FREE-BOUNDARY PROBLEMS FOR HEAT EQUATION .2. [J].

FASANO, A ;

PRIMICERIO, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 58 (01) :202-231

[12]

Galdi G.P., 1994, SPRINGER TRACTS NATU, VI

[13] Essay on the mechanics of isotropic continua [J].

Hohenemser, K ;

Prager, W .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1932, 12 :216-226

[14]

Kamenomostskaja S L, 1958, NAUCN DOKL VYSS SKOL, V1, P60

[15]

LADYZHENSKAYA O, 1970, BOUND VALUE PROBL, V2, P57

[16]

LADYZHENSKAYA OA, 2000, AM MATH SOC TRANSL, V164, P99

[17]

Ladyzhenskaya OA, 1968, TRANSLATION MATH MON, V23

[18]

LIONS JL, 1969, QUELQUER METHODS RES

[19]

Lions P.-L., 1998, Oxford Lecture Series in Mathematics and Its Applications, V2

[20]

Malek J., 1996, WEAK MEASURE VALUED

← 1 2 3 →