Transition to thermohydrodynamic lubrication problem

DOI10.1090/qam/1468zbMath1364.35235OpenAlexW2595012860WikidataQ59316421 ScholiaQ59316421MaRDI QIDQ2977497

Ionel Sorin Ciuperca, Mohammed Jai, Eduard Feireisl

Publication date: 18 April 2017

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1468

zbMATH Keywords

asymptotic approachReynolds equationfree boundary problemsStokes equationlubrication

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Lubrication theory (76D08) Navier-Stokes equations (35Q30) Wave equation (35L05) Free boundary problems for PDEs (35R35) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (2)

Effects of the viscous dissipation on the Darcy-Brinkman flow: rigorous derivation of the higher-order asymptotic model ⋮ Existence and uniqueness results for compressible Reynolds equation with slip boundary conditions

Cites Work

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• Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• The hydrodynamical theory of film lubrication

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