Threshold for blowup and stability for nonlinear Schrödinger equation with rotation

DOI10.1007/s00023-022-01249-yOpenAlexW4287868728MaRDI QIDQ2699043

Yanyan Li

Publication date: 26 April 2023

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.04722

zbMATH Keywords

stabilitynonlinear Schrödinger equationblowupBose-Einstein condensate

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Global well-posedness, blow-up and stability of standing waves for supercritical NLS with rotation ⋮ Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation ⋮ Blowup rate for mass critical rotational nonlinear Schrödinger equations ⋮ Universal Upper Bound on the Blowup Rate of Nonlinear Schrödinger Equation with Rotation

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