Blow-up profile of Bose-Einstein condensate with singular potentials
From MaRDI portal
Publication:5354893
DOI10.1063/1.4995393zbMath1370.82019arXiv1707.07865OpenAlexW2737253810MaRDI QIDQ5354893
Publication date: 5 September 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.07865
Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10) Critical phenomena in equilibrium statistical mechanics (82B27) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Blow-up in context of PDEs (35B44) Open systems, reduced dynamics, master equations, decoherence (81S22)
Related Items
Blow-up behavior of prescribed mass minimizers for nonlinear Choquard equations with singular potentials ⋮ Existence and blow-up of attractive Gross-Pitaevskii minimizers with general bounded potentials ⋮ The existence and asymptotic behavior of normalized solutions for Kirchhoff equation with singular potential ⋮ Blow-up profile of the focusing Gross-Pitaevskii minimizer under self-gravitating effect ⋮ Optimal bilinear control of the coupled nonlinear Schrödinger system ⋮ Blow-up profile of pseudo-relativistic Hartree equations with singular potentials ⋮ Properties of ground states of attractive Gross–Pitaevskii equations with multi-well potentials ⋮ On nonlinear Schrödinger equations with attractive inverse-power potentials ⋮ Asymptotic behavior of constraint minimizers for the mass-critical fractional nonlinear Schrödinger equation with a subcritical perturbation ⋮ Existence, non-existence and blow-up behaviour of minimizers for the mass-critical fractional non-linear Schrödinger equations with periodic potentials ⋮ Ground state of the mass-critical inhomogeneous nonlinear Schrödinger functional ⋮ Existence, stability and asymptotic behaviour of normalized solutions for the Davey-Stewartson system
Cites Work
- Unnamed Item
- Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials
- On the collapse and concentration of Bose-Einstein condensates with inhomogeneous attractive interactions
- Existence and mass concentration of 2D attractive Bose-Einstein condensates with periodic potentials
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
- The bound state of weakly coupled Schrödinger operators in one and two dimensions
- On the mass concentration for Bose-Einstein condensates with attractive interactions
- The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
