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2013 Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping
Renato Colucci, Gerardo R. Chacón, Andrés Vargas
Int. J. Differ. Equ. 2013(SI2): 1-8 (2013). DOI: 10.1155/2013/874196


We study the dynamical behavior of solutions of an n-dimensional nonlinear Schrödinger equation with potential and linear derivative terms under the presence of phenomenological damping. This equation is a general version of the dissipative Gross-Pitaevskii equation including terms with first-order derivatives in the spatial coordinates which allow for rotational contributions. We obtain conditions for the existence of a global attractor and find bounds for its dimension.


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Renato Colucci. Gerardo R. Chacón. Andrés Vargas. "Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping." Int. J. Differ. Equ. 2013 (SI2) 1 - 8, 2013.


Received: 19 April 2013; Accepted: 3 June 2013; Published: 2013
First available in Project Euclid: 24 January 2017

zbMATH: 1294.35134
MathSciNet: MR3073181
Digital Object Identifier: 10.1155/2013/874196

Rights: Copyright © 2013 Hindawi


Vol.2013 • No. SI2 • 2013
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