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Geometric and projective instability for the Gross–Pitaevski equation

Article type: Research Article

Authors: Thomann, Laurent

Affiliations: Université Paris-Sud, Mathématiques, Bât 425, 91405 Orsay Cedex, France E-mail: [email protected] Url: http://www.math.u-psud.fr/~thomann

Abstract: Using variational methods, we construct approximate solutions for the Gross–Pitaevski equation which concentrate on circles in $\mathbb{R}$3. These solutions will help to show that the L2 flow is unstable for the usual topology and for the projective distance.

Keywords: nonlinear Schrödinger equation, instability

Journal: Asymptotic Analysis, vol. 51, no. 3-4, pp. 271-287, 2007

Published: 2007
Price: EUR 27.50
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