On the effects of surface roughness in thin film flow governed by the time dependent Stokes equations

DOI10.1134/S106456241405010XzbMath1308.35229OpenAlexW1996884040MaRDI QIDQ483663

Yu. O. Koroleva, A. Tsandzana, John Fabricius, Peter Wall

Publication date: 17 December 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456241405010x

zbMATH Keywords

asymptotic behaviorStokes equationsthin filmlubrication

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Lubrication theory (76D08) Stokes and related (Oseen, etc.) flows (76D07)

Cites Work

• Unnamed Item
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• On multiscale homogenization problems in boundary layer theory
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• Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
• Diffraction of a plane wave by a rapidly-oscillating surface
• A rigorous derivation of the time-dependent Reynolds equation
• On the rate of convergence of solutions in domain with periodic multilevel oscillating boundary
• Homogenization of the Stokes system in a thin film flow with rapidly varying thickness
• Homogenization and Two-Scale Convergence
• Asymptotic behaviour of pressure and stresses in a thin film flow with a rough boundary

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