Practical Error Estimates for Reynolds' Lubrication Approximation and its Higher Order Corrections

DOI10.1137/070695447zbMath1423.76114arXiv0706.4103OpenAlexW3106372520MaRDI QIDQ3553803

Jon Wilkening

Publication date: 21 April 2010

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.4103

zbMATH Keywords

asymptotic expansionincompressible flowthin domainStokes equationslubrication theorya priori error estimates

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Lubrication theory (76D08) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (5)

Transition to thermohydrodynamic lubrication problem ⋮ Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid ⋮ Asymptotic modeling of the thin film flow with a pressure-dependent viscosity ⋮ Error estimates for pressure-driven Hele-Shaw flow ⋮ A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions

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