Existence of a rigid core in the flow of a compressible Bingham fluid under the action of a homogeneous force

被引：1

作者：

Basov, IV

机构：

[1] Russian Acad Sci, SB, Lavrentyev Inst Hydronam, Novosibirsk 630090, Russia

[2] Max Planck Inst Math Sci, Leipzig, Germany

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2005年 / 7卷 / 04期

关键词：

Bingham fluid; rigid zone; a priori estimate; regularity;

D O I：

10.1007/s00021-005-0179-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A compressible one-dimensional plain Bingham flow starting in equilibrium under the action of a time-increasing spatially homogeneous mass force is investigated. A lower estimate for the width of a rigid zone is obtained. The estimate shows that the rigid zone converges to the whole interval for t tends to zero. In other words, existence of a rigid core is established. As a supplementary result, additional smoothness of solutions to the system considered is established.

引用

页码：515 / 528

页数：14

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