Blow-up profile of rotating 2D focusing Bose gases

DOI10.1007/978-3-030-01602-9_7zbMath1414.82032arXiv1802.01854OpenAlexW2787783241MaRDI QIDQ2418857

Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie

Publication date: 29 May 2019

Full work available at URL: https://arxiv.org/abs/1802.01854

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of gases (82D05) Blow-up in context of PDEs (35B44)

Related Items (18)

Existence and Asymptotic Behavior of Ground States for Rotating Bose–Einstein Condensates ⋮ Existence and stability of standing waves for nonlinear Schrödinger equations with a critical rotational speed ⋮ Blow-up profile of 2D focusing mixture Bose gases ⋮ Ground states of attractive Bose gases in rotating anharmonic traps ⋮ Ground states of attractive Bose gases near the critical rotating velocity ⋮ Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations ⋮ The nonexistence of vortices for rotating Bose-Einstein condensates with attractive interactions ⋮ Threshold for blowup and stability for nonlinear Schrödinger equation with rotation ⋮ On the Stability of 2D Dipolar Bose--Einstein Condensates ⋮ Remarks on nonlinear Schrödinger equations arising on rotational Bose-Einstein condensates ⋮ Local uniqueness of ground states for rotating Bose-Einstein condensates with attractive interactions ⋮ Stability and instability properties of rotating Bose-Einstein condensates ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Many-body blow-up profile of boson stars with external potentials ⋮ Blow-up profile of neutron stars in the Chandrasekhar theory ⋮ The derivation of the \(\mathbb{T}^{3}\) energy-critical NLS from quantum many-body dynamics ⋮ Thomas-Fermi profile of a fast rotating Bose-Einstein condensate ⋮ The nonexistence of vortices for rotating Bose-Einstein condensates in non-radially symmetric traps

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