3 papers
math.AP2025
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…
math.AP2025
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 qua…
math.AP2025
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…