Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping

الملخص 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.