Thermal effects in gravitational Hartree systems

DOI10.1007/s00023-011-0096-1zbMath1226.85003arXiv1009.0128OpenAlexW3104974612MaRDI QIDQ639271

Gonca L. Aki, Jean Dolbeault, Christof Sparber

Publication date: 20 September 2011

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

Full work available at URL: https://arxiv.org/abs/1009.0128

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Methods of quantum field theory in general relativity and gravitational theory (83C47) Classical and relativistic thermodynamics (80A10) Galactic and stellar structure (85A15) Electromagnetic theory (general) (78A25) Exact solutions to problems in general relativity and gravitational theory (83C15) Measures of information, entropy (94A17)

Related Items (3)

Semi-classical limit of quantum free energy minimizers for the gravitational Hartree equation ⋮ Global existence versus finite time blowup dichotomy for the system of nonlinear Schrödinger equations ⋮ Compact embeddings of \(p\)-Sobolev-like cones of nuclear operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Nonlinear stability of stationary spherically symmetric models in stellar dynamics
• Uniqueness of ground states for pseudorelativistic Hartree equations
• Orbital stability for polytropic galaxies
• Compactness properties for trace-class operators and applications to quantum mechanics
• Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs
• The one-dimensional Schrödinger-Newton equations
• 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
• The time-dependent Hartree-Fock equations with Coulomb two-body interaction
• On nonlinear stability of polytropic galaxies
• Stable steady states in stellar dynamics
• On nonlinear stability of isotropic models in stellar dynamics
• Nonlinear stability of gaseous stars
• Existence and nonlinear stability of stationary states of the Schrödinger-Poisson system
• Asymptotic behaviour for the Vlasov-Poisson system in the stellar-dynamics case
• Steady states in galactic dynamics
• Lieb--Thirring type inequalities and Gagliardo--Nirenberg inequalities for systems
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• A variational formulation of schrödinger-poisson systems in dimension d ≤ 3
• A Stationary Schrödinger-Poisson System Arising from the Modelling of Electronic Devices
• ORBITALLY STABLE STATES IN GENERALIZED HARTREE–FOCK THEORY
• The Choquard equation and related questions
• Some remarks on Hartree equation
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Boltzmann distributed quantum steady states and their classical limit
• Schrödinger-Poisson systems in dimension d ≦ 3: The whole-space case
• Self-consistent relaxation-time models in quantum mechanics
• Isotropic steady states in galactic dynamics

This page was built for publication: Thermal effects in gravitational Hartree systems