Threshold of global existence for a Gross-Pitaevskii system associated with a dipolar Bose-Einstein condensate in 2D

DOI10.1007/S00028-021-00741-YzbMath1503.35207OpenAlexW3199630141MaRDI QIDQ2064575

L. Chergui, Hichem Hajaiej

Publication date: 6 January 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-021-00741-y

zbMATH Keywords

blowupBose-Einstein condensateGross-Pitaevskii system

Mathematics Subject Classification ID

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) Galactic and stellar dynamics (85A05) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

A sharp Gagliardo-Nirenberg inequality and its application to fractional problems with inhomogeneous nonlinearity

Cites Work

• Nonlinear Schrödinger equation with time dependent potential
• A construction of the fundamental solution for the Schrödinger equation
• On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential
• Remarks on convergence of the Feynman path integrals
• Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials
• Ground state solutions of the complex Gross Pitaevskii equation associated to exciton-polariton Bose-Einstein condensates
• THRESHOLD OF GLOBAL EXISTENCE FOR THE CRITICAL NONLINEAR GROSS–PITAEVSKII EQUATION
• Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential

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