Asymptotic analysis of solutions of a thin film lubrication problem with Coulomb fluid-solid interface law

DOI10.1016/S0020-7225(02)00282-3zbMath1211.35282OpenAlexW1975350749MaRDI QIDQ535854

Grzegorz Ukaszewicz, Mahdi Boukrouche

Publication date: 13 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7225(02)00282-3

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Stokes and related (Oseen, etc.) flows (76D07) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (13)

Asymptotic analysis of a non-Newtonian fluid in a thin domain with Tresca law ⋮ Asymptotic convergence of a generalized non-Newtonian fluid with Tresca boundary conditions ⋮ ON A LUBRICATION PROBLEM WITH FOURIER AND TRESCA BOUNDARY CONDITIONS ⋮ Non-isothermal lubrication problem with Tresca fluid-solid interface law. I. ⋮ Calculation of Reynolds equation for the generalized non-Newtonian fluids and its asymptotic behavior in a thin domain ⋮ Behavior of the isothermal Elasticity operator with non-linear friction in a thin domain ⋮ Unnamed Item ⋮ On a non-isothermal, non-Newtonian lubrication problem with Tresca law: existence and the behavior of weak solutions ⋮ Friction boundary conditions on thermal incompressible viscous flows ⋮ Asymptotic behavior of solutions to free boundary problem with Tresca boundary conditions ⋮ Non-isothermal lubrication problem with tresca fluid-solid interface law. II: Asymptotic behavior of weak solutions ⋮ Asymptotic behaviour of solutions of lubrication problem in a thin domain with a rough boundary and Tresca fluid-solid interface law ⋮ Variational and asymptotic analysis of a static electro-elastic problem with Coulomb's law

Cites Work

• The transition between the Stokes equations and the Reynolds equation: A mathematical proof
• An analysis of a mixed finite element method for the Navier-Stokes equations
• On a free boundary problem for the Reynolds equation derived from the Stokes system with Tresca boundary conditions
• Shear behaviour of elastohydrodynamic oil films
• Écoulement engendré par le vent et la force de Coriolis dans un domaine mince: I Cas stationnaire
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