5 citations · 9 across the 3 of their papers we have counts for
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Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations
Ru-Yu Lai, Laurel Ohm
We study the inverse problem for the fractional Laplace equation with multiple nonlinear lower order terms. We show that the direct problem is well-posed and the inverse problem is…
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…
Theoretical justification and error analysis for slender body theory with free ends
Yoichiro Mori, Laurel Ohm, Daniel Spirn
Slender body theory is a commonly used approximation in computational models of thin fibers in viscous fluids, especially in simulating the motion of cilia or flagella in swimming…
Theoretical justification and error analysis for slender body theory
Yoichiro Mori, Laurel Ohm, Daniel Spirn
Slender body theory facilitates computational simulations of thin fibers immersed in a viscous fluid by approximating each fiber using only the geometry of the fiber centerline cur…