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.

Dynamics of a Gross-Pitaevskii equation with phenomenological damping / Colucci, Renato; Chacón, Gerardo R.; Vargas, Andrés. - In: INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1687-9643. - STAMPA. - 2013:(2013), pp. 1-8. [10.1155/2013/874196]

Dynamics of a Gross-Pitaevskii equation with phenomenological damping

Colucci, Renato;
2013-01-01

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.
2013
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/265819
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