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Mathematics

D-Index
41
Citations
4918
World Ranking
1965
National Ranking
122

Overview

Gerhard Rein is affiliated with the University of Bayreuth in Germany and specializes in research at the intersection of mathematics and physics. Their body of work primarily addresses several advanced topics within applied mathematics and theoretical physics.

The scientist's research spans the fields of Mathematics and Physics and Astronomy, with a particular emphasis on subfields such as Applied Mathematics, Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics, and Statistical and Nonlinear Physics.

Research topics covered by Gerhard Rein include:

  • Gas Dynamics and Kinetic Theory
  • Cosmology and Gravitation Theories
  • Advanced Mathematical Physics Problems
  • Navier-Stokes Equation Solutions
  • Pulsars and Gravitational Waves Research
  • Black Holes and Theoretical Physics
  • Quantum Chaos and Dynamical Systems

Frequent co-authors in Gerhard Rein's publications include:

  • Christopher Straub
  • Mahir Hadžić
  • Matthew Schrecker
  • Sebastian Günther

Publication venues where Gerhard Rein's work commonly appears include:

  • arXiv (Cornell University)
  • Archive for Rational Mechanics and Analysis
  • The Astrophysical Journal
  • Classical and Quantum Gravity
  • Kinetic and Related Models

Selected recent publications are:

  • "Collisionless Equilibria in General Relativity: Stable Configurations beyond the First Binding Energy Maximum" (2021), The Astrophysical Journal
  • "Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas-a review" (2023), Classical and Quantum Gravity
  • "Damping versus oscillations for a gravitational Vlasov-Poisson system" (2023), arXiv (Cornell University)
  • "The Einstein-Vlasov system in maximal areal coordinates---Local existence and continuation" (2021), Kinetic and Related Models
  • "A Birman-Schwinger Principle in General Relativity: Linearly Stable Shells of Collisionless Matter Surrounding a Black Hole" (2022), arXiv (Cornell University)

Gerhard Rein's work incorporates significant mathematical rigor applied to problems in gravitational theory, gas dynamics, and the kinetic behavior of astrophysical systems. Their collaborations reflect an active engagement in theoretical developments related to general relativity and self-gravitating matter models.

Best Publications

  • Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data

    Gerhard Rein;Alan D. Rendall

  • Fairing cubic B-spline curves

    Gerald Farin;G. Rein;N. Sapidis;A. J. Worsey

  • Chapter 5 - Collisionless Kinetic Equations from Astrophysics – The Vlasov–Poisson System

    Gerhard Rein

  • Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics

    Gerhard Rein;Alan D. Rendall

  • Time Decay of the Solutions of the Vlasov–Poisson System in the Plasma Physical Case

    Reinhard Illner;Gerhard Rein

  • Non-Linear Stability of Gaseous Stars

    Gerhard Rein

  • Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics

    Gerhard Rein

  • Isotropic Steady States in Galactic Dynamics

    Yan Guo;Gerhard Rein

  • Global classical solutions of the periodic Vlasov-Poisson system in three dimensions

    J Batt;G Rein

  • Stable steady states in stellar dynamics.

    Yan Guo;Gerhard Rein

  • Non-linear stability for the Vlasov-Poisson system—the energy-Casimir method

    Gerhard Rein

  • Static solutions of the spherically symmetric Vlasov-Einstein system

    Gerhard Rein

  • Linear stability of stationary solutions of the Vlasov-Poisson system in three dimensions

    Jürgen Batt;Philip J. Morrison;Gerhard Rein

  • Smooth static solutions of the spherically symmetric Vlasov-Einstein system

    G. Rein;A. D. Rendall

  • Critical collapse of collisionless matter: A numerical investigation

    Gerhard Rein;Alan D. Rendall;Jack Schaeffer

  • A regularity theorem for solutions of the spherically symmetric Vlasov-Einstein system

    Gerhard Rein;Alan D. Rendall;Jack Schaeffer

  • A non-variational approach to nonlinear stability in stellar dynamics applied to the King model

    Yan Guo;Gerhard Rein

  • Cosmological solutions of the Vlasov-Einstein system with spherical, plane, and hyperbolic symmetry.

    Gerhard Rein

  • Isotropic steady states in galactic dynamics revised

    Yan Guo;Gerhard Rein

  • Global Weak Solutions to the Relativistic Vlasov-Maxwell System Revisited

    Gerhard Rein

Frequent Co-Authors

Alan D. Rendall
Alan D. Rendall Johannes Gutenberg University of Mainz
Yan Guo
Yan Guo Brown University
Gerald Teschl
Gerald Teschl University of Vienna
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Philip Morrison
Philip Morrison The University of Texas at Austin
Peter A. Markowich
Peter A. Markowich King Abdullah University of Science and Technology

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