Vortex filaments and ID cubic Schrödinger equations: Singularity formation

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Vortex filaments and ID cubic Schrödinger equations : Singularity formation. / Gutiérrez, Susana.

In: Communications in Applied Analysis, Vol. 15, No. 2-4, 01.04.2011, p. 457-474.

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@article{3cb390ff5c1f498482aa80c775e9dad0,
title = "Vortex filaments and ID cubic Schr{\"o}dinger equations: Singularity formation",
abstract = "In this paper we will give an overview on some recent results and work in progress on self-similar solutions of the Localized Induction Approximation (LIA) leading to a phenomenon of singularity formation in finite time. A special emphasis will be drawn to the connection of this geometrical flow with certain nonlinear cubic Schr{\"o}dinger equations in one space dimension through the so-called Hasimoto transformation.",
author = "Susana Guti{\'e}rrez",
year = "2011",
month = apr,
day = "1",
language = "English",
volume = "15",
pages = "457--474",
journal = "Communications on Pure and Applied Analysis",
issn = "1534-0392",
publisher = "American Institute of Mathematical Sciences",
number = "2-4",

}

RIS

TY - JOUR

T1 - Vortex filaments and ID cubic Schrödinger equations

T2 - Singularity formation

AU - Gutiérrez, Susana

PY - 2011/4/1

Y1 - 2011/4/1

N2 - In this paper we will give an overview on some recent results and work in progress on self-similar solutions of the Localized Induction Approximation (LIA) leading to a phenomenon of singularity formation in finite time. A special emphasis will be drawn to the connection of this geometrical flow with certain nonlinear cubic Schrödinger equations in one space dimension through the so-called Hasimoto transformation.

AB - In this paper we will give an overview on some recent results and work in progress on self-similar solutions of the Localized Induction Approximation (LIA) leading to a phenomenon of singularity formation in finite time. A special emphasis will be drawn to the connection of this geometrical flow with certain nonlinear cubic Schrödinger equations in one space dimension through the so-called Hasimoto transformation.

UR - http://www.scopus.com/inward/record.url?scp=80155198508&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:80155198508

VL - 15

SP - 457

EP - 474

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

SN - 1534-0392

IS - 2-4

ER -