Year: 2014
Author: M. Dilmi, H. Benseridi, A. Saadallah
Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 6 : pp. 797–810
Abstract
In this paper we prove first the existence and uniqueness results for the weak solution, to the stationary equations for Bingham fluid in a three dimensional bounded domain with Fourier and Tresca boundary condition; then we study the asymptotic analysis when one dimension of the fluid domain tends to zero. The strong convergence of the velocity is proved, and a specific Reynolds limit equation and the limit of Tresca free boundary conditions are obtained.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2013.m350
Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 6 : pp. 797–810
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Free boundary problems Bingham fluid asymptotic approach Tresca law Reynolds equation.