17 citations · 67 across the 16 of their papers we have counts for
18 papers
Boundary layers and vanishing diffusivity in run-and-tumble models
Dallas Albritton, Laurel Ohm, Timur Yastrzhembskiy
A notable feature of confined active matter systems is the tendency for motile particles to accumulate near solid boundaries. In various linear models with no-flux boundary conditi…
The slender body free boundary problem
Laurel Ohm
We consider the slender body free boundary problem describing the evolution of an inextensible, closed elastic filament immersed in a Stokes fluid in . The filament e…
Rods in flows: the PDE theory of immersed elastic filaments
Dallas Albritton, Laurel Ohm
We investigate a family of curve evolution equations approximating the motion of a Kirchhoff rod immersed in a low Reynolds number fluid. The rod is modeled as a framed curve whose…
A free boundary problem for an immersed filament in 3D Stokes flow
Laurel Ohm
We consider a simplified extensible version of a dynamic free boundary problem for a thin filament with radius immersed in 3D Stokes flow. The 3D fluid is coupled to the quas…
On an angle-averaged Neumann-to-Dirichlet map for thin filaments
Laurel Ohm
We consider the Laplace equation in the exterior of a thin filament in and perform a detailed decomposition of a notion of slender body Neumann-to-Dirichlet (NtD) an…
Well-posedness of a viscoelastic resistive force theory and applications to swimming
Laurel Ohm
We propose and analyze a simple model for the evolution of an immersed, inextensible filament which incorporates linear viscoelastic effects of the surrounding fluid. The model is…