Long-time behavior of one-dimensional compressible Bingham flows

被引：0

作者：

Basov, IV ^{[1
]}

机构：

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

[2] RAS, SB, MA Lavrentyev Hydrodynam Inst, Novosibirsk, Russia

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2005年 / 57卷 / 01期

关键词：

long-time behavior; compressible Bingham fluid;

D O I：

10.1007/s00033-005-0005-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Barotropic flows of one-dimensional compressible Bingham fluids are considered. Long-time behavior of the corresponding initial-boundary problem is investigated. The uniform upper and lower bounds for the density and a decay of the kinetic energy are established. We admit a class of mass forces not considered for similar problems to Newtonian fluids. Under additional assumptions on the mass force, we achieve strong estimates for the solution (uniformly in time) and decays of the velocity and its derivatives.

引用

页码：59 / 75

页数：17

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