dynamics of a gross-pitaevskii equation with phenomenological damping
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ID: 220018
2013
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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.
| Reference Key |
colucci2013internationaldynamics
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|---|---|
| Authors | ;Renato Colucci;Gerardo R. Chacón;Andrés Vargas |
| Journal | Biological reviews of the Cambridge Philosophical Society |
| Year | 2013 |
| DOI |
10.1155/2013/874196
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