@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 = {

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.

}, 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} }