Archivio Istituzionale della RicercaWe study the existence of contours which evolve retaining their shapes under the second Goldstein-Petrich flow. We present a proof of the existence, for each integer n >= 2, of a 1-parameter family of non-congruent Goldstein-Petrich contours of R(2) with symmetry group of order n. Explicit algorithms to compute and visualize the contours and their evolution are given.
Congruence curves of the Goldstein-Petrich flows / Musso, Emilio. - STAMPA. - 542:(2011), pp. 99-113. (Intervento presentato al convegno Conference on Harmonic map Fest in Honour of John C. Woods 60th Birthday tenutosi a Cagliari (Italy) nel SEP 07-10, 2009) [10.1090/conm/542].
Congruence curves of the Goldstein-Petrich flows
MUSSO, EMILIO
2011
Abstract
We study the existence of contours which evolve retaining their shapes under the second Goldstein-Petrich flow. We present a proof of the existence, for each integer n >= 2, of a 1-parameter family of non-congruent Goldstein-Petrich contours of R(2) with symmetry group of order n. Explicit algorithms to compute and visualize the contours and their evolution are given.
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https://hdl.handle.net/11583/2460552
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