Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping

Renato Colucci, Gerardo R. Chacón and Andrés Vargas

International Journal of Differential Equations, 2013, vol. 2013, 1-8

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:874196

DOI: 10.1155/2013/874196

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