Gerhard Rein

2.8k total citations
69 papers, 1.5k citations indexed

About

Gerhard Rein is a scholar working on Applied Mathematics, Astronomy and Astrophysics and Computational Mechanics. According to data from OpenAlex, Gerhard Rein has authored 69 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 65 papers in Applied Mathematics, 37 papers in Astronomy and Astrophysics and 19 papers in Computational Mechanics. Recurrent topics in Gerhard Rein's work include Gas Dynamics and Kinetic Theory (64 papers), Cosmology and Gravitation Theories (37 papers) and Navier-Stokes equation solutions (33 papers). Gerhard Rein is often cited by papers focused on Gas Dynamics and Kinetic Theory (64 papers), Cosmology and Gravitation Theories (37 papers) and Navier-Stokes equation solutions (33 papers). Gerhard Rein collaborates with scholars based in Germany, Sweden and United States. Gerhard Rein's co-authors include Alan D. Rendall, Yan Guo, Håkan Andréasson, Jürgen Batt, Reinhard Illner, Markus Kunze, A.J. Worsey, Gerald Farin, Simone Calogero and P. Morrison and has published in prestigious journals such as The Astrophysical Journal, Monthly Notices of the Royal Astronomical Society and Annals of the New York Academy of Sciences.

In The Last Decade

Gerhard Rein

68 papers receiving 1.4k citations

Peers

Gerhard Rein

AMPO

Florian Méhats France

M. Brio United States

Helmut Neunzert Germany

G. Nath India

Matania Ben‐Artzi Israel

Guy Boillat France

Ricardo Estrada United States

Laure Saint‐Raymond France

Seiji Ukai Japan

P. L. Sachdev India

Florian Méhats France

Gerhard Rein

314 ×0.3

106 ×0.2

221 ×0.5

261 ×0.8

250 ×0.9

AMPO

Citations per year, relative to Gerhard Rein Gerhard Rein (= 1×) peers Florian Méhats

Countries citing papers authored by Gerhard Rein

Since Specialization

Citations

This map shows the geographic impact of Gerhard Rein's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Gerhard Rein with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gerhard Rein more than expected).

Fields of papers citing papers by Gerhard Rein

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gerhard Rein. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Gerhard Rein. The network helps show where Gerhard Rein may publish in the future.

Co-authorship network of co-authors of Gerhard Rein

This figure shows the co-authorship network connecting the top 25 collaborators of Gerhard Rein. A scholar is included among the top collaborators of Gerhard Rein based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Gerhard Rein. Gerhard Rein is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Rein, Gerhard, et al.. (2025). A Birman–Schwinger Principle in General Relativity: Linearly Stable Shells of Collisionless Matter Surrounding a Black Hole. Archive for Rational Mechanics and Analysis. 249(5). 1 indexed citations

Rein, Gerhard. (2023). Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas—a review. Classical and Quantum Gravity. 40(19). 193001–193001. 5 indexed citations

Rein, Gerhard. (2023). Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas -- A review. arXiv (Cornell University).

Rein, Gerhard, et al.. (2021). The Einstein-Vlasov system in maximal areal coordinates---Local existence and continuation. Kinetic and Related Models. 15(4). 681–681. 3 indexed citations

Andréasson, Håkan & Gerhard Rein. (2014). On the rotation curves for axially symmetric disc solutions of the Vlasov–Poisson system. Monthly Notices of the Royal Astronomical Society. 446(4). 3932–3942. 4 indexed citations

Andréasson, Håkan & Gerhard Rein. (2010). FORMATION OF TRAPPED SURFACES FOR THE SPHERICALLY SYMMETRIC EINSTEIN–VLASOV SYSTEM. Journal of Hyperbolic Differential Equations. 7(4). 707–731. 7 indexed citations

Rein, Gerhard, et al.. (2008). Flat galaxies with dark matter halos—existence and stability. 3 indexed citations

Rein, Gerhard. (2005). Nonlinear Stability of Newtonian Galaxies and Stars from a Mathematical Perspective. Annals of the New York Academy of Sciences. 1045(1). 103–119. 6 indexed citations

Andréasson, Håkan, Simone Calogero, & Gerhard Rein. (2005). Global classical solutions to the spherically symmetric Nordström–Vlasov system. Mathematical Proceedings of the Cambridge Philosophical Society. 138(3). 533–539. 7 indexed citations

10.

Calogero, Simone & Gerhard Rein. (2004). Global weak solutions to the Nordström–Vlasov system. Journal of Differential Equations. 204(2). 323–338. 18 indexed citations

11.

Rein, Gerhard. (2004). Global Weak Solutions to the Relativistic Vlasov-Maxwell System Revisited. Communications in Mathematical Sciences. 2(2). 145–158. 30 indexed citations

12.

Rein, Gerhard. (2002). Stability of Spherically Symmetric Steady States in Galactic Dynamics¶against General Perturbations. Archive for Rational Mechanics and Analysis. 161(1). 27–42. 11 indexed citations

13.

Guo, Yan & Gerhard Rein. (1999). Stable Steady States in Stellar Dynamics. Archive for Rational Mechanics and Analysis. 147(3). 225–243. 61 indexed citations

14.

Guo, Yan & Gerhard Rein. (1999). Existence and stability of Camm type steady states in galactic dynamics. Indiana University Mathematics Journal. 48(4). 0–0. 27 indexed citations

15.

Rein, Gerhard & Alan D. Rendall. (1996). Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data (vol 150, pg 561, 1992). Communications in Mathematical Physics. 176(2). 475–478. 8 indexed citations

16.

Rein, Gerhard & Alan D. Rendall. (1996). Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data. Communications in Mathematical Physics. 176(2). 475–478. 23 indexed citations

17.

Batt, Jürgen & Gerhard Rein. (1993). A rigorous stability result for the Vlasov-Poisson system in three dimensions. Annali di Matematica Pura ed Applicata (1923 -). 164(1). 133–154. 37 indexed citations

18.

Rein, Gerhard, et al.. (1992). Generic global classical solutions of the Vlasov-Fokker-Planck-Poisson system in three dimensions. Journal of Differential Equations. 99(1). 59–77. 38 indexed citations

19.

Batt, Jürgen & Gerhard Rein. (1991). Global classical solutions of the periodic Vlasov-Poisson system in three dimensions. 313(6). 411–416. 58 indexed citations

20.

Rein, Gerhard. (1990). A two‐species plasma in the limit of large ion mass. Mathematical Methods in the Applied Sciences. 13(2). 159–167. 7 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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