NEW MODELS IN MICROPOLAR FLUID AND THEIR APPLICATION TO LUBRICATION

DOI10.1142/S021820250500039XzbMath1160.76333MaRDI QIDQ4678410

Guy Bayada, Michèle Chambat, Nadia Benhaboucha

Publication date: 23 May 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

asymptotic approachexistence and uniqueness theoremlubricationReynolds equationsMicropolar fluidslippage effect

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Lubrication theory (76D08) Stokes and related (Oseen, etc.) flows (76D07) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Asymptotic analysis in optics and electromagnetic theory (78M35)

Related Items (8)

Nonzero boundary condition for the unsteady micropolar pipe flow: well-posedness and asymptotics ⋮ Analysis of the thin film flow in a rough domain filled with micropolar fluid ⋮ On the filtration of micropolar fluid through a thin pipe ⋮ Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain ⋮ Decay estimates of linearized micropolar fluid flows in \(\mathbb{R}^{3}\) space with applications to \(L_{3}\)-strong solutions ⋮ Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid ⋮ On viscous incompressible flows of nonsymmetric fluids with mixed boundary conditions ⋮ A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions

Cites Work

• Finite element approximation of the Navier-Stokes equations
• The transition between the Stokes equations and the Reynolds equation: A mathematical proof
• Lubrication theory for micropolar fluids and its application to a journal bearing
• On boundary conditions for fluid flow in porous media
• A note on the existence and uniqueness of solutions of the micropolar fluid equations
• On micropolar fluids in the theory of lubrication. Rigorous derivation of an analogue of the Reynolds equation
• Homogenization of the Navier-Stokes equations with a slip boundary condition
• The Initial-Boundary-Value Problems in the Theory of Micropolar Fluids
• About thin film micropolar asymptotic equations

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