1-D cubic NLS with several Dirac masses as initial data and consequences
Séminaire Laurent Schwartz — EDP et applications (2017-2018), Talk no. 3, 9 p.

In this proceedings article we present a result on the 1-D cubic nonlinear Schrödinger equation with a sum of Dirac masses as initial data. We shall give a sketch of the proof. By using this result we show how to construct the evolution in time of a polygonal line through the binormal flow. This equation is a geometric flow for curves in 3 and it is used as a model for the evolution of a vortex filament in fluid mechanics. These results were obtained in collaboration with Luis Vega in [4].

Published online:
DOI: 10.5802/slsedp.118
Banica, Valeria 1

1 Laboratoire Jacques-Louis Lions (UMR 7598) B.C. 187 4 place Jussieu 75005 Paris France
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Banica, Valeria. 1-D cubic NLS with several Dirac masses as initial data and consequences. Séminaire Laurent Schwartz — EDP et applications (2017-2018), Talk no. 3, 9 p. doi : 10.5802/slsedp.118. http://archive.numdam.org/articles/10.5802/slsedp.118/

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