On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions

DOI10.3934/DCDSB.2020239zbMath1471.35259arXiv1902.05591OpenAlexW3047159264MaRDI QIDQ2033567

Yongming Luo, Athanasios N. Stylianou

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.05591

zbMATH Keywords

well-posednessground statescompeting nonlinearitiesdipolar Gross-Pitaevskii equationLee-Huang-Young correction

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Asymptotic dynamics of certain solutions for an extended nonlinear Gross-Pitaevskii equation with critical nonlinear damping in \(\mathbb{R}^3\) ⋮ Stabilization in dipolar Gross-Pitaevskii theory by mass-subcritical perturbation

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