Justification of lubrication approximation: An application to fluid/solid interactions

DOI10.3233/ASY-151319zbMath1333.35195arXiv1506.04690MaRDI QIDQ5744773

Takfarinas Kelaï, Matthieu Hillairet

Publication date: 19 February 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04690

zbMATH Keywords

Stokes problemlubrication approximationfluid/solid interactions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Lubrication theory (76D08) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (5)

Note on the fall of an axisymmetric body in a perfect fluid over a horizontal ramp ⋮ Quantitative Estimates for Stress Concentration of the Stokes Flow Between Adjacent Circular Cylinders ⋮ Global solutions to coupled (Navier-)Stokes Newton systems in R 3 ⋮ On the derivation of a Stokes-Brinkman problem from Stokes equations around a random array of moving spheres ⋮ Numerical simulation of rigid particles in Stokes flow: lubrication correction for general shapes of particles

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