ON A LUBRICATION PROBLEM WITH FOURIER AND TRESCA BOUNDARY CONDITIONS

DOI10.1142/S0218202504003490zbMath1099.35093OpenAlexW2096377804MaRDI QIDQ5315607

Mahdi Boukrouche, Grzegorz Łukaszewicz

Publication date: 9 September 2005

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

Full work available at URL: https://doi.org/10.1142/s0218202504003490

zbMATH Keywords

asymptotic behaviorStokes flowReynolds equationlubricationFourier and Tresca fluid solid conditions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Lubrication theory (76D08) Stokes and related (Oseen, etc.) flows (76D07) Free boundary problems for PDEs (35R35)

Related Items (19)

On the asymptotic behavior of solutions of anisotropic viscoelastic body ⋮ 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 ⋮ Non-isothermal lubrication problem with Tresca fluid-solid interface law. I. ⋮ Asymptotic behaviour of a nonlinear boundary value problem with friction ⋮ 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 ⋮ Existence and uniqueness results for compressible Reynolds equation with slip boundary conditions ⋮ Asymptotic Analysis of a Bingham Fluid in a Thin Domain with Fourier and Tresca Boundary Conditions ⋮ Asymptotic behavior of solutions to a boundary value problem with mixed boundary conditions and friction 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 ⋮ 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

• Asymptotic analysis of solutions of a thin film lubrication problem with Coulomb fluid-solid interface law
• The effect of the slip boundary condition on the flow of fluids in a channel
• On a free boundary problem for the Reynolds equation derived from the Stokes system with Tresca boundary conditions
• The initial value problem for the Navier-Stokes equations with general slip boundary condition in Hölder spaces
• On the unsteady Navier-Stokes equations in a time-moving domain with velocity-pressure boundary conditions
• Existence and uniqueness of the flow of second-grade fluids with slip boundary conditions
• A coherent analysis of Stokes flows under boundary conditions of friction type
• The initial value problem for the non-homogeneous Navier—Stokes equations with general slip boundary condition
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