Analysis of a Class of Frictional Contact Problems for the Bingham Fluid

被引:0
作者
Mohamed Selmani
Boubakeur Merouani
Lynda Selmani
机构
[1] University of Setif,Department of Mathematics
来源
Mediterranean Journal of Mathematics | 2005年 / 2卷
关键词
Primary 74M10; Secondary 74M15; 76M30; Bingham fluid; frictional contact; subdifferential; variational inequality; weak solution;
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摘要
We consider a mathematical model which describes the stationary flow of a Bingham fluid with friction. The frictional contact is modeled by a general velocity dependent dissipation functional. We derive a weak formulation of the model which consists in a variational inequality for the velocity field. We establish the existence and uniqueness of the weak solution as well as its continuous dependence with respect to the contact condition. Finally, we describe a number of concrete friction conditions which may be set in this general framework and for which our results apply.
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页码:113 / 124
页数:11
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