Motion of several slender rigid filaments in a Stokes flow
From MaRDI portal
Publication:2073660
DOI10.5802/jep.184zbMath1482.76038arXiv2106.03447OpenAlexW3169745275MaRDI QIDQ2073660
Franck Sueur, Christophe Prange, Richard M. Höfer
Publication date: 3 February 2022
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.03447
singular perturbationimmersed boundary methodsteady Stokes flowslender rigid filamentvanishing body thickness
Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Stokes and related (Oseen, etc.) flows (76D07) Basic methods in fluid mechanics (76M99)
Related Items (2)
Derivation of the viscoelastic stress in Stokes flows induced by nonspherical Brownian rigid particles through homogenization ⋮ Remote trajectory tracking of a rigid body in an incompressible fluid at low Reynolds number
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the vortex filament conjecture for Euler flows
- Regularity for the stationary Navier-Stokes equations over bumpy boundaries and a local wall law
- Solutions of the divergence operator on John domains
- Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
- A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary
- Modeling of macroscopic stresses in a dilute suspension of small weakly inertial particles
- An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow
- Theoretical justification and error analysis for slender body theory with free ends
- On the effect of polydispersity and rotation on the Brinkman force induced by a cloud of particles on a viscous incompressible flow
- A new derivation of Jeffery's equation
- Homogenization of the evolutionary Navier-Stokes system
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Matrices
- The immersed boundary method
- Chute libre d’un solide dans un fluide visqueux incompressible. existence
- An improved slender-body theory for Stokes flow
- Boundary Integral and Singularity Methods for Linearized Viscous Flow
- Slender-body theory for slow viscous flow
- Global representation and multiscale expansion for the Dirichlet problem in a domain with a small hole close to the boundary
- Theorems on the Stokesian Hydrodynamics of a Rigid Filament in the Limit of Vanishing Radius
- Accuracy of slender body theory in approximating force exerted by thin fiber on viscous fluid
- Theoretical Justification and Error Analysis for Slender Body Theory
- Selfsimilar solutions of the binormal flow and their stability
- On the asymptotic series expansion of the motion of a charged particle in slowly varying fields
- Slender-body theory for particles of arbitrary cross-section in Stokes flow
- The motion of long slender bodies in a viscous fluid Part 1. General theory
- The self-propulsion of microscopic organisms through liquids
- Boundary Integral Equations
This page was built for publication: Motion of several slender rigid filaments in a Stokes flow