Long time existence for vortex filament equation in a Riemannian manifold
Koiso, Norihito
Osaka J. Math., Tome 45 (2008) no. 1, p. 265-271 / Harvested from Project Euclid
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Vortex filament equation in the Euclidean space has a long time solution for any closed initial data, because it can be converted into a standard nonlinear Schrödinger equation. While the Riemannian version of vortex filament equation is not integrable at all, we prove that it has a long time solution for any closed initial data.
Publié le : 2008-06-15
Classification:  53C44,  35Q35,  35B25 
@article{1216151099,
     author = {Koiso, Norihito},
     title = {Long time existence for vortex filament equation in a Riemannian manifold},
     journal = {Osaka J. Math.},
     volume = {45},
     number = {1},
     year = {2008},
     pages = { 265-271},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1216151099}
}

Koiso, Norihito. Long time existence for vortex filament equation in a Riemannian manifold. Osaka J. Math., Tome 45 (2008) no. 1, pp.  265-271. http://gdmltest.u-ga.fr/item/1216151099/