Vortex filament equation in a Riemannian manifold

Norihito Koiso

doi:10.2748/tmj/1113246943

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Home > Journals > Tohoku Math. J. (2) > Volume 55 > Issue 2 > Article

2003 Vortex filament equation in a Riemannian manifold

Norihito Koiso

Tohoku Math. J. (2) 55(2): 311-320 (2003). DOI: 10.2748/tmj/1113246943

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Abstract

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.

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Norihito Koiso. "Vortex filament equation in a Riemannian manifold." Tohoku Math. J. (2) 55 (2) 311 - 320, 2003. https://doi.org/10.2748/tmj/1113246943