Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping
Copyright policy )Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping
We study the dynamical behavior of solutions of ann-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.
- PONTIFICIA UNIVERSIDAD JAVERIANA Colombia
- Pontificia Universidad Javeriana Colombia
Dissipative system, global attractor, Mathematical analysis, Quantum mechanics, Discrete Solitons in Nonlinear Photonic Systems, QA1-939, FOS: Mathematics, Attractors, Nonlinear Schrödinger Equation, Global Well-Posedness of Nonlinear Wave Equations, Classical mechanics, nonlinear Schrödinger equation, Mathematical Physics, Many-Body Physics with Ultracold Gases, NLS equations (nonlinear Schrödinger equations), Physics, Attractor, Pure mathematics, Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics, Dimension (graph theory), Physics and Astronomy, Mathematical physics, Physical Sciences, Gross–Pitaevskii equation, Nonlinear system, Gross-Pitaevskii equation, Mathematics
Dissipative system, global attractor, Mathematical analysis, Quantum mechanics, Discrete Solitons in Nonlinear Photonic Systems, QA1-939, FOS: Mathematics, Attractors, Nonlinear Schrödinger Equation, Global Well-Posedness of Nonlinear Wave Equations, Classical mechanics, nonlinear Schrödinger equation, Mathematical Physics, Many-Body Physics with Ultracold Gases, NLS equations (nonlinear Schrödinger equations), Physics, Attractor, Pure mathematics, Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics, Dimension (graph theory), Physics and Astronomy, Mathematical physics, Physical Sciences, Gross–Pitaevskii equation, Nonlinear system, Gross-Pitaevskii equation, Mathematics
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