Sergiù Klainerman

9.8k total citations · 2 hit papers
87 papers, 5.5k citations indexed

About

Sergiù Klainerman is a scholar working on Mathematical Physics, Applied Mathematics and Nuclear and High Energy Physics. According to data from OpenAlex, Sergiù Klainerman has authored 87 papers receiving a total of 5.5k indexed citations (citations by other indexed papers that have themselves been cited), including 56 papers in Mathematical Physics, 43 papers in Applied Mathematics and 28 papers in Nuclear and High Energy Physics. Recurrent topics in Sergiù Klainerman's work include Advanced Mathematical Physics Problems (52 papers), Black Holes and Theoretical Physics (28 papers) and Cosmology and Gravitation Theories (16 papers). Sergiù Klainerman is often cited by papers focused on Advanced Mathematical Physics Problems (52 papers), Black Holes and Theoretical Physics (28 papers) and Cosmology and Gravitation Theories (16 papers). Sergiù Klainerman collaborates with scholars based in United States, France and Italy. Sergiù Klainerman's co-authors include Andrew J. Majda, Matei Machedon, Demetrios Christodoulou, Igor Rodnianski, Gustavo Ponce, Sigmund Selberg, Franklin John, Thomas C. Sideris, F. Nicolò and Alexandru D. Ionescu and has published in prestigious journals such as SHILAP Revista de lepidopterología, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Sergiù Klainerman

83 papers receiving 4.8k citations

Hit Papers

Singular limits of quasil... 1981 2026 1996 2011 1981 1990 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
    1981 607 citations Sergiù Klainerman et al. profile →
  2. The Global Nonlinear Stability of the Minkowski Space.
    1990 454 citations Demetrios Christodoulou, Sergiù Klainerman French digital mathematics library (Numdam) profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Sergiù Klainerman 3.7k 2.9k 1.3k 1.2k 1.2k 87 5.5k
Daniel Tataru 3.7k 1.0× 2.1k 0.7× 433 0.3× 1.6k 1.3× 293 0.3× 113 4.4k
Alan Weinstein 2.1k 0.6× 517 0.2× 447 0.3× 208 0.2× 454 0.4× 61 4.2k
Demetrios Christodoulou 1.3k 0.4× 1.1k 0.4× 3.0k 2.3× 225 0.2× 3.4k 3.0× 59 4.7k
G. A. Prodi 613 0.2× 1.1k 0.4× 318 0.2× 543 0.4× 1.0k 0.9× 121 3.4k
Jalal Shatah 3.4k 0.9× 1.2k 0.4× 166 0.1× 793 0.7× 86 0.1× 61 4.0k
Yan Guo 1.8k 0.5× 3.5k 1.2× 94 0.1× 257 0.2× 201 0.2× 134 4.2k
Cathleen S. Morawetz 1.3k 0.3× 987 0.3× 150 0.1× 400 0.3× 182 0.2× 67 2.3k
A. Kupiainen 1.1k 0.3× 273 0.1× 786 0.6× 140 0.1× 287 0.2× 90 3.1k
Denis Serre 1.3k 0.3× 2.0k 0.7× 59 0.0× 529 0.4× 169 0.1× 127 3.1k
Luis Vega 5.6k 1.5× 3.3k 1.1× 93 0.1× 1.1k 0.9× 53 0.0× 136 6.1k

Countries citing papers authored by Sergiù Klainerman

Since Specialization
Citations

This map shows the geographic impact of Sergiù Klainerman'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 Sergiù Klainerman with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Sergiù Klainerman more than expected).

Fields of papers citing papers by Sergiù Klainerman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Sergiù Klainerman. 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 Sergiù Klainerman. The network helps show where Sergiù Klainerman may publish in the future.

Co-authorship network of co-authors of Sergiù Klainerman

This figure shows the co-authorship network connecting the top 25 collaborators of Sergiù Klainerman. A scholar is included among the top collaborators of Sergiù Klainerman 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 Sergiù Klainerman. Sergiù Klainerman is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Klainerman, Sergiù & Jérémie Szeftel. (2024). Brief introduction to the nonlinear stability of Kerr. Pure and Applied Mathematics Quarterly. 20(4). 1721–1761.
2.
Klainerman, Sergiù. (2023). The Universalism of Mathematics and its Detractors: Relativism and Radical Equalitarianism Threaten STEM Disciplines in the US. European Review. 31(5). 432–458. 1 indexed citations
3.
Klainerman, Sergiù. (2016). On Nash’s unique contribution to analysis in just three of his papers. Bulletin of the American Mathematical Society. 54(2). 283–305. 7 indexed citations
4.
Klainerman, Sergiù. (2015). Is the Fields Medal the Nobel Prize of Mathematics. Notices of the American Mathematical Society. 62(4). 327–327.
5.
Klainerman, Sergiù, Igor Rodnianski, & Jérémie Szeftel. (2015). The resolution of the bounded L 2 curvature conjecture in general relativity. French digital mathematics library (Numdam). 1–18.
6.
Holzegel, Gustav, et al.. (2014). Small-data shock formation in solutions to 3D quasilinear wave equations: An overview. DSpace@MIT (Massachusetts Institute of Technology). 31 indexed citations
7.
Klainerman, Sergiù & Igor Rodnianski. (2008). On the radius of injectivity of null hypersurfaces. Journal of the American Mathematical Society. 21(3). 775–795. 20 indexed citations
8.
Klainerman, Sergiù & Igor Rodnianski. (2008). Sharp $L^1$ estimates for singular transport equations. Journal of the European Mathematical Society. 10(2). 477–505. 1 indexed citations
9.
Klainerman, Sergiù. (2007). Mathematical challenges of General Relativity. SHILAP Revista de lepidopterología. 1 indexed citations
10.
Bourgain, Jean, Carlos E. Kenig, & Sergiù Klainerman. (2007). Mathematical aspects of nonlinear dispersive equations. CERN Document Server (European Organization for Nuclear Research). 93 indexed citations
11.
Bahri, Abbas, et al.. (2004). Noncompact Problems at the Intersection of Geometry, Analysis, and Topology. Contemporary mathematics - American Mathematical Society. 24 indexed citations
12.
Klainerman, Sergiù & F. Nicol�. (2003). Peeling properties of asymptotically flat solutions to the Einstein vacuum equations. Classical and Quantum Gravity. 20(14). 3215–3257. 35 indexed citations
13.
Klainerman, Sergiù & Igor Rodnianski. (2002). Rough solutions of the Einstein vacuum equations. Comptes Rendus Mathématique. 334(2). 125–130. 10 indexed citations
14.
Foschi, Damiano & Sergiù Klainerman. (2000). Bilinear space-time estimates for homogeneous wave equations. Annales Scientifiques de l École Normale Supérieure. 33(2). 211–274. 64 indexed citations
15.
Klainerman, Sergiù & Damiano Foschi. (1999). On bilinear estimates for wave equations. Journées Équations aux dérivées partielles. 1–17. 1 indexed citations
16.
Klainerman, Sergiù & Matei Machedon. (1998). . International Mathematics Research Notices. 1998(15). 765–765. 10 indexed citations
17.
Klainerman, Sergiù & Matei Machedon. (1997). On the regularity properties of non-linear wave equations. Journées Équations aux dérivées partielles. 1–8. 2 indexed citations
18.
Christodoulou, Demetrios & Sergiù Klainerman. (1994). The Global Nonlinear Stability of the Minkowski Space (PMS-41). Princeton University Press eBooks. 102 indexed citations
19.
Christodoulou, Demetrios & Sergiù Klainerman. (1990). The Global Nonlinear Stability of the Minkowski Space.. French digital mathematics library (Numdam). 1–29. 454 indexed citations breakdown →
20.
Klainerman, Sergiù & Peter Sarnak. (1981). Explicit solutions of $\square u = 0$ on the Friedmann-Robertson-Walker space-times. French digital mathematics library (Numdam). 35(4). 253–257. 8 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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