Global well-posedness is established for a nonlocal curve evolution of an immersed elastic filament, together with convergence to resistive force theory as the filament thickness approaches zero.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AP 2verdicts
UNVERDICTED 2representative citing papers
Establishes a solution theory for the slender body free boundary problem of an inextensible closed elastic filament in Stokes flow via the Neumann-to-Dirichlet map and tension enforcement.
citing papers explorer
-
A nonlocal curve evolution for an immersed elastic filament: global existence and convergence to resistive force theory
Global well-posedness is established for a nonlocal curve evolution of an immersed elastic filament, together with convergence to resistive force theory as the filament thickness approaches zero.
-
The slender body free boundary problem
Establishes a solution theory for the slender body free boundary problem of an inextensible closed elastic filament in Stokes flow via the Neumann-to-Dirichlet map and tension enforcement.