3 papers
math.AP2026
A nonlocal curve evolution for an immersed elastic filament: global existence and convergence to resistive force theory
Laurel Ohm
We consider a nonlocal curve evolution belonging to a hierarchy of models for the dynamics of an inextensible elastic filament in a 3D Stokes fluid. This model captures the princip…
math.AP2025
A hierarchy of blood vessel models, Part II: 3D-3D to 3D-1D and 1D
Laurel Ohm, Sarah Strikwerda
We propose and analyze a hierarchy of three models of blood perfusion through a tissue surrounding a thin arteriole or venule. Our goal is to rigorously link 3D-3D Darcy--Stokes, 3…
math.AP2025
A hierarchy of blood vessel models, Part I: 3D-1D to 1D
Laurel Ohm, Sarah Strikwerda
We propose and analyze a family of models describing blood perfusion through a tissue surrounding a thin blood vessel. Our goal is to rigorously establish convergence results among…