- Home
- Best Scientists - Mathematics
- Gerhard Rein

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
37
Citations
4,291
128
World Ranking
1713
National Ranking
99

- Quantum mechanics
- Mathematical analysis
- General relativity

Classical mechanics, Complex system, Mathematical physics, Mathematical analysis and Einstein are his primary areas of study. As part of one scientific family, Gerhard Rein deals mainly with the area of Classical mechanics, narrowing it down to issues related to the Particle, and often Angular momentum, Phase space, Stars and Dynamics. He studies Mathematical physics, focusing on Poisson system in particular.

Mathematical analysis is often connected to Nonlinear system in his work. His Einstein research is multidisciplinary, relying on both Circular symmetry, Singularity, General relativity and Vlasov equation. His work deals with themes such as Einstein field equations, Distribution function and Existence theorem, which intersect with Vlasov equation.

- Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data (179 citations)
- Chapter 5 - Collisionless Kinetic Equations from Astrophysics – The Vlasov–Poisson System (117 citations)
- Stable steady states in stellar dynamics. (101 citations)

His primary areas of investigation include Classical mechanics, Mathematical physics, Einstein, Mathematical analysis and Initial value problem. In the field of Classical mechanics, his study on Dynamics overlaps with subjects such as Complex system. His research in Mathematical physics focuses on subjects like Partial differential equation, which are connected to Weak solution, Maxwell's equations and Plasma.

His Einstein research integrates issues from Circular symmetry, General relativity, Symmetry, Vlasov equation and Isotropy. He focuses mostly in the field of Mathematical analysis, narrowing it down to matters related to Axial symmetry and, in some cases, Implicit function theorem, Angular momentum and Rotational symmetry. His Initial value problem research includes themes of Uniqueness and Applied mathematics.

- Classical mechanics (43.70%)
- Mathematical physics (34.81%)
- Einstein (29.63%)

- Classical mechanics (43.70%)
- Mathematical analysis (22.96%)
- Einstein (29.63%)

His primary areas of investigation include Classical mechanics, Mathematical analysis, Einstein, Steady state and Mathematical physics. His research in Classical mechanics is mostly focused on Angular momentum. His Mathematical analysis research includes elements of Quadratic equation, Hamiltonian, Axial symmetry and Coercivity.

Gerhard Rein works mostly in the field of Einstein, limiting it down to topics relating to Isotropy and, in certain cases, Hilbert space. Mathematical physics connects with themes related to Redshift in his study. The Equation of state study combines topics in areas such as Modified Newtonian dynamics, Gravitational interaction and Dynamics.

- Spherically Symmetric Equilibria for Self-Gravitating Kinetic or Fluid Models in the Nonrelativistic and Relativistic Case---A Simple Proof for Finite Extension (35 citations)
- Existence of Axially Symmetric Static Solutions of the Einstein-Vlasov System (33 citations)
- Rotating, Stationary, Axially Symmetric Spacetimes with Collisionless Matter (26 citations)

- Quantum mechanics
- Mathematical analysis
- General relativity

Mathematical analysis, Mathematical physics, Classical mechanics, Einstein and Euler's formula are his primary areas of study. Gerhard Rein integrates Mathematical analysis and Complex system in his research. His work carried out in the field of Mathematical physics brings together such families of science as Trichotomy, Instability and Globular cluster, Stars.

The concepts of his Classical mechanics study are interwoven with issues in Work and Limit. His biological study spans a wide range of topics, including Quadratic equation, Stability result and Constant. His Euler's formula research incorporates elements of Ball, Cutoff, Kinetic energy and Fluid models.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Fairing cubic B-spline curves

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

Computer Aided Geometric Design **(1987)**

275 Citations

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

Gerhard Rein;Alan D. Rendall.

Communications in Mathematical Physics **(1992)**

274 Citations

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

Gerhard Rein.

Handbook of Differential Equations: Evolutionary Equations **(2007)**

193 Citations

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

Gerhard Rein;Alan D. Rendall.

Mathematical Proceedings of the Cambridge Philosophical Society **(2000)**

140 Citations

Non-Linear Stability of Gaseous Stars

Gerhard Rein.

Archive for Rational Mechanics and Analysis **(2003)**

137 Citations

Isotropic Steady States in Galactic Dynamics

Yan Guo;Gerhard Rein.

Communications in Mathematical Physics **(2001)**

131 Citations

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

Reinhard Illner;Gerhard Rein.

Mathematical Methods in The Applied Sciences **(1996)**

130 Citations

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

Gerhard Rein.

Communications in Mathematical Physics **(1990)**

127 Citations

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

J Batt;G Rein.

Comptes rendus de l'Académie des sciences. Série 1, Mathématique **(1991)**

117 Citations

Stable steady states in stellar dynamics.

Yan Guo;Gerhard Rein.

Archive for Rational Mechanics and Analysis **(1999)**

107 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Johannes Gutenberg University of Mainz

Brown University

University of Vienna

Paris Dauphine University

King Abdullah University of Science and Technology

École Polytechnique

University of Rome Tor Vergata

Max Planck Society

Rovira i Virgili University

Shenzhen University

TU Dresden

Korea University

State University of Campinas

Freie Universität Berlin

Purdue University West Lafayette

University of Toronto

United States Naval Research Laboratory

Nihon University

University of Calgary

Memorial Sloan Kettering Cancer Center

Kyungpook National University

Something went wrong. Please try again later.