International Journal of Differential Equations

Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping

Renato Colucci, Gerardo R. Chacón, and Andrés Vargas

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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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Int. J. Differ. Equ., Volume 2013, Special Issue (2013), Article ID 874196, 8 pages.

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

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Colucci, Renato; Chacón, Gerardo R.; Vargas, Andrés. Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping. Int. J. Differ. Equ. 2013, Special Issue (2013), Article ID 874196, 8 pages. doi:10.1155/2013/874196.

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