Vortex filament equation in a Riemannian manifold
Koiso, Norihito
Tohoku Math. J. (2), Tome 55 (2003) no. 2, p. 311-320 / Harvested from Project Euclid
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We define a riemannian version of the vortex filament equation. Using perturbation to a parabolic equation, we prove the short time unique existence of a solution for any initial closed curve.
Publié le : 2003-06-14
Classification:  Vortex filament,  Riemannian manifold,  singular perturbation,  53C44,  35B25,  35Q55 
@article{1113246943,
     author = {Koiso, Norihito},
     title = {Vortex filament equation in a Riemannian manifold},
     journal = {Tohoku Math. J. (2)},
     volume = {55},
     number = {2},
     year = {2003},
     pages = { 311-320},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113246943}
}

Koiso, Norihito. Vortex filament equation in a Riemannian manifold. Tohoku Math. J. (2), Tome 55 (2003) no. 2, pp.  311-320. http://gdmltest.u-ga.fr/item/1113246943/