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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
