Mini-workshop: Relativistic fluids at the intersection of mathematics and physics. Abstracts from the mini-workshop held December 13--19, 2020 (online meeting)

DOI10.4171/OWR/2020/42zbMath1473.00039MaRDI QIDQ2232325

No author found.

Publication date: 5 October 2021

Published in: Oberwolfach Reports (Search for Journal in Brave)

Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to fluid mechanics (76-06) Collections of abstracts of lectures (00B05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Proceedings, conferences, collections, etc. pertaining to partial differential equations (35-06) Proceedings, conferences, collections, etc. pertaining to relativity and gravitational theory (83-06)

Cites Work

Unnamed Item
Unnamed Item
Focusing quantum many-body dynamics: the rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation
Pair excitations and the mean field approximation of interacting Bosons. I
Dynamical collapse of Boson stars
A fully anisotropic mechanism for formation of trapped surfaces in vacuum
The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation
A priori estimates for relativistic liquid bodies
The quintic NLS as the mean field limit of a boson gas with three-body interactions
Existence of axially symmetric static solutions of the Einstein-Vlasov system
A simple derivation of mean field limits for quantum systems
Orbital stability of spherical galactic models
The existence of a black hole due to condensation of matter
Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems
The formation of black holes in general relativity.
Mean-field dynamics: Singular potentials and rate of convergence
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
Mean field limit for bosons and infinite dimensional phase-space analysis
Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data
Stationary spherically symmetric models in stellar dynamics
The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
Global existence of solutions of the spherically symmetric Vlasov- Einstein system with small initial data
Stationary and static stellar dynamic models with axial symmetry
Bogoliubov correction to the mean-field dynamics of interacting bosons
Spacetime is locally inertial at points of general relativistic shock wave interaction between shocks from different characteristic families
On the asymptotic behavior of static perfect fluids
A class of counterexamples to Jeans' theorem for the Vlasov-Einstein system
A conformal approach for the analysis of the non-linear stability of radiation cosmologies
Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime
Microscopic foundations of kinetic plasma theory: the relativistic Vlasov-Maxwell equations and their radiation-reaction-corrected generalization
A Lorentz-covariant interacting electron-photon system in one space dimension
Rotating, stationary, axially symmetric spacetimes with collisionless matter
Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge
Comments on the paper `Static solutions of the Vlasov-Einstein system' by G. Wolansky
Shock wave interactions and the Riemann-flat condition: the geometry behind metric smoothing and the existence of locally inertial frames in general relativity
The derivation of the \(\mathbb{T}^{3}\) energy-critical NLS from quantum many-body dynamics
A vector field method for relativistic transport equations with applications
A note on the validity of Bogoliubov correction to mean-field dynamics
Norm approximation for many-body quantum dynamics: Focusing case in low dimensions
On the rigorous derivation of the 2D cubic nonlinear Schrödinger equation from 3D quantum many-body dynamics
Derivation of the cubic NLS and Gross-Pitaevskii hierarchy from manybody dynamics in \(d=3\) based on spacetime norms
Nonlinear stability of fluid and plasma equilibria
On axisymmetric and stationary solutions of the self-gravitating Vlasov system
Unconditional Uniqueness for the Cubic Gross-Pitaevskii Hierarchy via Quantum de Finetti
Effective Evolution Equations from Quantum Dynamics
A simple proof of convergence to the Hartree dynamics in Sobolev trace norms
Conformal Methods in General Relativity
Pair excitations and the mean field approximation of interacting Bosons, II
Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential
A novel quantum-mechanical interpretation of the Dirac equation
Existence and properties of spherically symmetric static fluid bodies with a given equation of state
Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate
Non‐linear stability for the Vlasov–Poisson system—the energy‐Casimir method
Formation of naked singularities: The violation of cosmic censorship
On the quantum-mechanics of a single photon
Black hole formation and stability: A mathematical investigation
Initial data and black holes for matter models
Bogoliubov corrections and trace norm convergence for the Hartree dynamics
The Dirac point electron in zero-gravity Kerr–Newman spacetime
On a zero-gravity limit of the Kerr–Newman spacetimes and their electromagnetic fields
Gravitational Collapse and Space-Time Singularities
Derivation of the Hartree equation for compound Bose gases in the mean field limit
No regularity singularities exist at points of general relativistic shock wave interaction between shocks from different characteristic families
The Einstein-Vlasov system/kinetic theory
Static solutions of the Vlasov-Einstein system

This page was built for publication: Mini-workshop: Relativistic fluids at the intersection of mathematics and physics. Abstracts from the mini-workshop held December 13--19, 2020 (online meeting)