Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping

Joint Authors

Vargas, Andrés
Colucci, Renato
Chacón, Gerardo R.

Source

International Journal of Differential Equations

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-06-18

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Colucci, Renato& Chacón, Gerardo R.& Vargas, Andrés. 2013. Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping. International Journal of Differential Equations،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1005918

Modern Language Association (MLA)

Colucci, Renato…[et al.]. Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping. International Journal of Differential Equations No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1005918

American Medical Association (AMA)

Colucci, Renato& Chacón, Gerardo R.& Vargas, Andrés. Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping. International Journal of Differential Equations. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1005918

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1005918