Logarithmic Bose–Einstein condensates with harmonic potential

DOI10.3233/ASY-191538zbMath1442.35413arXiv1801.01382OpenAlexW2971752450MaRDI QIDQ5112886

Alex H. Ardila, Marco Squassina, Liliana Cely

Publication date: 9 June 2020

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01382

zbMATH Keywords

stabilityharmonic potentiallogarithmic Schrödinger equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Finite dimensional global attractor for a damped fractional anisotropic Schrödinger type equation with harmonic potential ⋮ Optimal bilinear control of the logarithmic Schrödinger equation ⋮ Global well-posedness, blow-up and stability of standing waves for supercritical NLS with rotation ⋮ Error Analysis of a First-Order IMEX Scheme for the Logarithmic Schrödinger Equation ⋮ Numerical study of the logarithmic Schrödinger equation with repulsive harmonic potential ⋮ Logarithmic Schrödinger equation with quadratic potential* ⋮ Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential

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