On the dynamical collapse of pseudo-relativistic quantum stars

DOI10.5802/slsedp.10zbMath1325.35229OpenAlexW4300132270MaRDI QIDQ2354242

Mathieu Lewin

Publication date: 10 July 2015

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/slsedp.10

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Galactic and stellar structure (85A15) Galactic and stellar dynamics (85A05) PDEs in connection with astronomy and astrophysics (35Q85)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamical collapse of Boson stars
• On blowup for time-dependent generalized Hartree-Fock equations
• Stellar collapse in the time dependent Hartree-Fock approximation
• L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
• 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
• Well-posedness for semi-relativistic Hartree equations of critical type
• Orbital stability of standing waves for some nonlinear Schrödinger equations
• The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
• ``Mass concentration phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity. II
• The time-dependent Hartree-Fock equations with Coulomb two-body interaction
• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
• Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation
• Perturbation theory for linear operators.
• Solutions of Hartree-Fock equations for Coulomb systems
• Generalized Hartree-Fock theory and the Hubbard model
• Dynamical collapse of white dwarfs in Hartree- and Hartree-Fock theory
• Mathematical methods in quantum chemistry. An introduction
• On singularity formation for theL²-critical Boson star equation
• Mean field dynamics of boson stars
• Variational methods in relativistic quantum mechanics
• On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
• Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
• On Commutators of Singular Integrals and Bilinear Singular Integrals
• The Maximum Mass of Ideal White Dwarfs
• Effective dynamics for boson stars
• Blowup for nonlinear wave equations describing boson stars
• COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
• Theory of Superconductivity

This page was built for publication: On the dynamical collapse of pseudo-relativistic quantum stars