@Article{AAMM-6-6,
author = {M., Dilmi and H., Benseridi and Saadallah, A.},
title = {Asymptotic Analysis of a Bingham Fluid in a Thin Domain with Fourier and Tresca Boundary Conditions},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2014},
volume = {6},
number = {6},
pages = {797--810},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m350},
url = {https://global-sci.com/article/73471/asymptotic-analysis-of-a-bingham-fluid-in-a-thin-domain-with-fourier-and-tresca-boundary-conditions}
}