Blow-up profile of neutron stars in the Hartree-Fock-Bogoliubov theory

DOI10.1007/s00526-019-1641-xzbMath1426.81056arXiv1903.10062OpenAlexW3101605687WikidataQ126866065 ScholiaQ126866065MaRDI QIDQ2334531

Dinh-Thi Nguyen

Publication date: 7 November 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.10062

Mathematics Subject Classification ID

Variational inequalities (49J40) Gravitational interaction in quantum theory (81V17) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Galactic and stellar structure (85A15) Blow-up in context of PDEs (35B44) Unilateral problems for nonlinear hyperbolic equations and variational inequalities with nonlinear hyperbolic operators (35L86)

Related Items (1)

Many-body blow-up profile of boson stars with external potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
• Geometric methods for nonlinear many-body quantum systems
• On blowup for time-dependent generalized Hartree-Fock equations
• Stellar collapse in the time dependent Hartree-Fock approximation
• On the lowest eigenvalue of the Laplacian for the intersection of two domains
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs
• The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
• The stability and instability of relativistic matter
• The multiconfiguration equations for atoms and molecules: charge quantization and existence of solutions
• An uncertainty principle for fermions with generalized kinetic energy
• The semi-classical limit of large fermionic systems
• Ground states of pseudo-relativistic boson stars under the critical stellar mass
• On blow-up profile of ground states of boson stars with external potential
• Perturbation theory for linear operators.
• Generalized Hartree-Fock theory and the Hubbard model
• Dynamical collapse of white dwarfs in Hartree- and Hartree-Fock theory
• Uniqueness of Radial Solutions for the Fractional Laplacian
• On the Symmetry of the Ground States of Nonlinear Schrödinger Equation with Potential
• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
• On singularity formation for theL²-critical Boson star equation
• Bogolubov–Hartree–Fock mean field theory for neutron stars and other systems with attractive interactions
• The Stability of Matter in Quantum Mechanics
• The Maximum Mass of Ideal White Dwarfs
• Symmetry breaking regime in the nonlinear Hartree equation
• Many-body blow-up profile of boson stars with external potentials
• Blow-up profile of neutron stars in the Chandrasekhar theory
• Existence and mass concentration of pseudo-relativistic Hartree equation

This page was built for publication: Blow-up profile of neutron stars in the Hartree-Fock-Bogoliubov theory