Anchored Peskin filaments evolve by a fractional Laplacian with homogeneous Dirichlet conditions, have circular-arc equilibria for broad elastic energies, and regularize instantly to C^∞.
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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.
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Anchored Peskin Problem
Anchored Peskin filaments evolve by a fractional Laplacian with homogeneous Dirichlet conditions, have circular-arc equilibria for broad elastic energies, and regularize instantly to C^∞.
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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.