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D-Index & Metrics

Mathematics

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

Gerhard Rein publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Gerhard Rein sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 132 publications — 28th percentile

28% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Gerhard Rein D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Gerhard Rein sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 41 D-Index — 49th percentile

49% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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