Theoretical justification and error analysis for slender body theory with free ends

DOI10.1007/s00205-019-01458-6zbMath1458.76035arXiv1901.11456OpenAlexW3099391437MaRDI QIDQ2297688

Yoichiro Mori, Laurel Ohm, Daniel P. Spirn

Publication date: 20 February 2020

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.11456

zbMATH Keywords

force densitythin swimming fiberwell-posedness constant

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Biopropulsion in water and in air (76Z10)

Related Items (8)

A single-layer based numerical method for the slender body boundary value problem ⋮ Slender body theories for rotating filaments ⋮ Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping ⋮ An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow ⋮ Viscous tubular-body theory for plane interfaces ⋮ Theorems on the Stokesian Hydrodynamics of a Rigid Filament in the Limit of Vanishing Radius ⋮ Motion of several slender rigid filaments in a Stokes flow ⋮ Well-posedness and applications of classical elastohydrodynamics for a swimming filament

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