Dynamics of a Gross-Pitaevskii equation with phenomenological damping

Renato Colucci; Gerardo R. Chacón; Andrés Vargas

doi:10.1155/2013/874196

Dynamics of a Gross-Pitaevskii equation with phenomenological damping

Renato Colucci
, Gerardo R. Chacón
, Andrés Vargas

Universidad Javeriana

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Article number	874196
Journal	International Journal of Differential Equations
Volume	2013
DOIs	https://doi.org/10.1155/2013/874196
State	Published - 2013

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@article{f6e634b81bb84beda08e6c15f368eb0b,

title = "Dynamics of a Gross-Pitaevskii equation with phenomenological damping",

abstract = "We study the dynamical behavior of solutions of an n-dimensional nonlinear Schr{\"o}dinger 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.",

author = "Renato Colucci and Chac{\'o}n, \{Gerardo R.\} and Andr{\'e}s Vargas",

year = "2013",

doi = "10.1155/2013/874196",

language = "English",

volume = "2013",

journal = "International Journal of Differential Equations",

issn = "1687-9643",

publisher = "John Wiley and Sons Ltd",

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T1 - Dynamics of a Gross-Pitaevskii equation with phenomenological damping

AU - Colucci, Renato

AU - Chacón, Gerardo R.

AU - Vargas, Andrés

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84887653236

U2 - 10.1155/2013/874196

DO - 10.1155/2013/874196

M3 - Article

AN - SCOPUS:84887653236

SN - 1687-9643

VL - 2013

JO - International Journal of Differential Equations

JF - International Journal of Differential Equations

M1 - 874196

ER -

Dynamics of a Gross-Pitaevskii equation with phenomenological damping

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