Geodesic
Motion by curvature of a three-dimensional filament: similarity solutions
Giles W. Richardson1 ; John R. King1
1University of Nottingham, United Kingdom
Interfaces and free boundaries, Tome 4 (2002) no. 4, pp. 395-421

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DOI

We systematically classify and investigate fully three-dimensional similarity solutions to a system of equations describing the motion of a filament moving in the direction of its principal normal with velocity proportional to its curvature, [ngr] = [kgr]n, where n is the principal normal and [kgr] the curvature of the filament. Such formulations are relevant to superconducting vortices and disclinations.
DOI : 10.4171/ifb/67
Classification : 46-XX, 60-XX
Mots-clés : Motion by curvature

Giles W. Richardson  1   ; John R. King  1

1 University of Nottingham, United Kingdom 
Giles W. Richardson; John R. King. Motion by curvature of a three-dimensional filament: similarity solutions. Interfaces and free boundaries, Tome 4 (2002) no. 4, pp. 395-421. doi: 10.4171/ifb/67
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