dynamics of a gross-pitaevskii equation with phenomenological damping

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ID: 220018
2013
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Ranked #19 of 42 articles by views in Biological reviews of the Cambridge Philosophical Society

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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.
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colucci2013internationaldynamics Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Renato Colucci, Gerardo R. Chacón, Andrés Vargas
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Journal Biological reviews of the Cambridge Philosophical Society
Year 2013
DOI
10.1155/2013/874196
URL
http://dx.doi.org/10.1155/2013/874196
Keywords
mathematics

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