Asymptotic Analysis of a Micropolar Fluid Flow in a Thin Domain with a Free and Rough Boundary

DOI10.1137/110837772zbMath1259.35164arXiv1309.4875OpenAlexW2023273917MaRDI QIDQ2904743

Mahdi Boukrouche, Laetitia Paoli

Publication date: 23 August 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4875

zbMATH Keywords

asymptotic analysismicropolar fluidtwo-scale convergencelubricationReynolds equationsfree and rough boundary

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Lubrication theory (76D08) Homogenization applied to problems in fluid mechanics (76M50)

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Analysis of the thin film flow in a rough domain filled with micropolar fluid ⋮ Leray's problem for the nonstationary micropolar fluid flow ⋮ Unsteady 3D-Navier–Stokes system with Tresca’s friction law ⋮ Unsteady micropolar fluid flow in a thin domain with Tresca fluid-solid interface law ⋮ Non-isothermal Navier-Stokes system with mixed boundary conditions and friction law: uniqueness and regularity properties ⋮ Micropolar fluid flow in a thick domain with multiscale oscillating roughness and friction boundary conditions ⋮ Analysis of the roughness regimes for micropolar fluids via homogenization ⋮ Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid ⋮ Mathematical modeling of micropolar fluid flows through a thin porous medium ⋮ A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions

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