Study of Stokes dynamical system in a thin domain with Fourier and Tresca boundary conditions

DOI10.1142/S1793557121500078zbMath1464.35233OpenAlexW2965705528MaRDI QIDQ4985532

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Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121500078

zbMATH Keywords

asymptotic approachReynolds equationfree boundary problemsStokes fluidfriction law

Mathematics Subject Classification ID

Variational inequalities (49J40) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Lubrication theory (76D08) Variational methods applied to PDEs (35A15) Shear flows and turbulence (76F10) Stokes and related (Oseen, etc.) flows (76D07) Free boundary problems for PDEs (35R35) Asymptotic analysis in optics and electromagnetic theory (78M35)

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On the asymptotic behavior of solutions of anisotropic viscoelastic body

Cites Work

• Estimates for the asymptotic convergence of a non-isothermal linear elasticity with friction
• On a non-isothermal, non-Newtonian lubrication problem with Tresca law: existence and the behavior of weak solutions
• Non-isothermal lubrication problem with tresca fluid-solid interface law. II: Asymptotic behavior of weak solutions
• Existence and uniqueness of stationary solutions of non-Newtonian viscous incompressible fluids
• On a free boundary problem for the Reynolds equation derived from the Stokes system with Tresca boundary conditions
• Asymptotic solutions of weakly compressible Newtonian Poiseuille flows with pressure-dependent viscosity
• Asymptotic analysis of a non-Newtonian fluid in a thin domain with Tresca law
• On a non-stationary, non-Newtonian lubrication problem with Tresca fluid-solid law
• Asymptotic stability of non-Newtonian flows with large perturbation in \(\mathbb{R}^{2}\)
• Some inequalities and asymptotic behavior of a dynamic problem of linear elasticity
• Asymptotic Analysis of a Bingham Fluid in a Thin Domain with Fourier and Tresca Boundary Conditions
• ON A LUBRICATION PROBLEM WITH FOURIER AND TRESCA BOUNDARY CONDITIONS
• Unnamed Item

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