133 citations · 275 across the 20 of their papers we have counts for
9 papers · 1 filter
The Tension Determination Problem for an Inextensible Interface in 2D Stokes Flow
Po-Chun Kuo, Ming-Chih Lai, Yoichiro Mori +1
Consider an inextensible closed filament immersed in a 2D Stokes fluid. Given a force density defined on this filament, we consider the problem of determining the tens…
Well-Posedness of the 3D Peskin Problem
Eduardo García-Juárez, Po-Chun Kuo, Yoichiro Mori +1
This paper introduces the 3D Peskin problem: a two-dimensional elastic membrane immersed in a three-dimensional steady Stokes flow. We obtain the equations that model this free bou…
Well-posedness and applications of classical elastohydrodynamics for a swimming filament
Yoichiro Mori, Laurel Ohm
We consider a classical elastohydrodynamic model of an inextensible filament undergoing planar motion in . The hydrodynamics are described by resistive force theory,…
The Peskin Problem with Viscosity Contrast
Eduardo Garcia-Juarez, Yoichiro Mori, Robert M. Strain
The Peskin problem models the dynamics of a closed elastic filament immersed in an incompressible fluid. In this paper, we consider the case when the inner and outer viscosities ar…
Accuracy of slender body theory in approximating force exerted by thin fiber on viscous fluid
Yoichiro Mori, Laurel Ohm
We consider the accuracy of slender body theory in approximating the force exerted by a thin fiber on the surrounding viscous fluid when the fiber velocity is prescribed. We term t…
An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow
Yoichiro Mori, Laurel Ohm
We investigate the motion of a thin rigid body in Stokes flow and the corresponding slender body approximation used to model sedimenting fibers. In particular, we derive a rigorous…