Analysis for Flow of an Incompressible Brinkman-Type Fluid in Thin Medium with Friction
Keyword(s):
In this paper, we consider the Brinkman equation in the three-dimensional thin domain ℚ ε ⊂ ℝ 3 . The purpose of this paper is to evaluate the asymptotic convergence of a fluid flow in a stationary regime. Firstly, we expose the variational formulation of the posed problem. Then, we presented the problem in transpose form and prove different inequalities for the solution u ε , p ε independently of the parameter ε . Finally, these estimates allow us to have the limit problem and the Reynolds equation and establish the uniqueness of the solution.
2019 ◽
pp. 2150007
◽
2019 ◽
Vol 27
(5)
◽
pp. 719-730
◽
2019 ◽
Vol 27
(1)
◽
pp. 53-65
◽
2012 ◽
Vol 55
(1-3)
◽
pp. 198-213
◽
Keyword(s):
2021 ◽
Vol 118
◽
pp. 1-11
2005 ◽
Vol 15
(03)
◽
pp. 343-374
◽