On a free boundary problem for the Reynolds equation derived from the Stokes system with Tresca boundary conditions

DOI10.1016/S0022-247X(03)00140-9zbMath1025.35022MaRDI QIDQ1399386

Mahdi Boukrouche, Guy Bayada

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

variational inequalitiesexistenceuniquenessasymptotic approachReynolds equationasymptotic behaviourlubricationTresca fluid-slide condition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Lubrication theory (76D08) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Free boundary problems for PDEs (35R35)

Related Items (24)

On the asymptotic behavior of an interface problem in a thin domain ⋮ Asymptotic analysis of a non-Newtonian fluid in a thin domain with Tresca law ⋮ On the asymptotic study of transmission problem in a thin domain ⋮ Estimates for the asymptotic convergence of a non-isothermal linear elasticity with friction ⋮ ON A LUBRICATION PROBLEM WITH FOURIER AND TRESCA BOUNDARY CONDITIONS ⋮ Non-isothermal lubrication problem with Tresca fluid-solid interface law. I. ⋮ Asymptotic behaviour of a nonlinear boundary value problem with friction ⋮ Source term model for elasticity system with nonlinear dissipative term in a thin domain ⋮ 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 ⋮ On a finite element approximation of the Stokes equations under a slip boundary condition of the friction type ⋮ A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis ⋮ Unnamed Item ⋮ On a non-isothermal, non-Newtonian lubrication problem with Tresca law: existence and the behavior of weak solutions ⋮ Existence and uniqueness results for compressible Reynolds equation with slip boundary conditions ⋮ Asymptotic analysis of solutions of a thin film lubrication problem with Coulomb fluid-solid interface law ⋮ On a non-stationary, non-Newtonian lubrication problem with Tresca fluid-solid law ⋮ 3D-2D asymptotic analysis of an interface problem with a dissipative term in a dynamic regime ⋮ Non-isothermal lubrication problem with tresca fluid-solid interface law. II: Asymptotic behavior of weak solutions ⋮ Equatorial wave-current interactions ⋮ A priori and a posteriori estimates of stabilized mixed finite volume methods for the incompressible flow arising in arteriosclerosis ⋮ Study of Stokes dynamical system in a thin domain with Fourier and Tresca boundary conditions ⋮ About new models of slip/no-slip boundary condition in thin film flows ⋮ Asymptotic behaviour of solutions of lubrication problem in a thin domain with a rough boundary and Tresca fluid-solid interface 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
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Homogenization of the Navier-Stokes equations with a slip boundary condition
• 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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