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Mathematics

D-Index
56
Citations
13386
World Ranking
729
National Ranking
361

Research.com Recognitions

  • 2018 - Fellow of the American Mathematical Society For contributions to partial differential equations, to the mathematical theory of general relativity, and mentoring.
  • 2005 - Member of the National Academy of Sciences
  • 2002 - Academie des sciences, France
  • 1997 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1996 - Fellow of the American Academy of Arts and Sciences
  • 1991 - Fellow of the MacArthur Foundation
  • 1983 - Fellow of Alfred P. Sloan Foundation

Overview

Sergiu Klainerman is affiliated with Princeton University in the United States. Their primary research spans the fields of Physics and Astronomy, with notable contributions in Mathematics. The main areas of study encompass Astronomy and Astrophysics, Nuclear and High Energy Physics, Mathematical Physics, Statistical and Nonlinear Physics, and Applied Mathematics.

The scientist's research topics focus on Black Holes and Theoretical Physics, Cosmology and Gravitation Theories, Advanced Mathematical Physics Problems, Pulsars and Gravitational Waves Research, Advanced Differential Geometry Research, Nonlinear Waves and Solitons, and Noncommutative and Quantum Gravity Theories.

Their publication record includes work in the following venues:

  • arXiv (Cornell University)
  • Princeton University Press eBooks
  • Pure and Applied Mathematics Quarterly
  • Annals of PDE
  • Inference International Review of Science

Recent papers by Sergiu Klainerman include:

  • Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations, 2020, Princeton University Press eBooks
  • Kerr Stability for Small Angular Momentum, 2023, Pure and Applied Mathematics Quarterly
  • Effective Results on Uniformization and Intrinsic GCM Spheres in Perturbations of Kerr, 2022, Annals of PDE
  • Construction of GCM Spheres in Perturbations of Kerr, 2022, Annals of PDE
  • Wave Equations Estimates and the Nonlinear Stability of Slowly Rotating Kerr Black Holes, 2022, arXiv (Cornell University)

Book publications are mainly associated with Princeton University Press, including two editions of Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations published in 2020.

Frequent co-authors include:

  • Jérémie Szeftel
  • Xinhua Chen
  • Yanyan Li
  • Elena E. Giorgi
  • Elena Giorgi

Sergiu Klainerman has received several awards and honors throughout their career. These include:

  • Fellow of the American Mathematical Society (2018) for contributions to partial differential equations, the mathematical theory of general relativity, and mentoring
  • Member of the National Academy of Sciences (2005)
  • Academie des sciences, France (2002)
  • Fellow of John Simon Guggenheim Memorial Foundation (1997)
  • Fellow of the American Academy of Arts and Sciences (1996)
  • Fellow of the MacArthur Foundation (1991)
  • Fellow of Alfred P. Sloan Foundation (1983)

Best Publications

  • The Global Nonlinear Stability of the Minkowski Space.

    Demetrios Christodoulou;Sergiu Klainerman

  • Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids

    Sergiu Klainerman;Andrew Majda

  • Compressible and incompressible fluids

    Sergiu Klainerman;Andrew Majda

  • Space-time estimates for null forms and the local existence theorem

    Sergiu Klainerman;M. MacHedon

  • Uniform decay estimates and the lorentz invariance of the classical wave equation

    Sergiu Klainerman

  • Global existence for nonlinear wave equations

    Sergiu Klainerman

  • Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions

    Sergiu Klainerman

  • Global, small amplitude solutions to nonlinear evolution equations

    S. Klainerman;Gustavo Ponce

  • Almost global existence to nonlinear wave equations in three space dimensions

    F. John;S. Klainerman

  • Smoothing estimates for null forms and applications

    S. Klainerman;M. Machedon

  • The Global Nonlinear Stability of the Minkowski Space (PMS-41)

    Demetrios Christodoulou;Sergiu Klainerman

  • Formation of singularities for wave equations including the nonlinear vibrating string

    Sergiu Klainerman;Andrew Majda

  • On almost global existence for nonrelativistic wave equations in 3D

    Sergiu Klainerman;Thomas C. Sideris

  • Long-time behavior of solutions to nonlinear evolution equations

    Sergiu Klainerman

  • The Evolution Problem in General Relativity

    Sergiu Klainerman;Francesco Nicolò

  • Remarks on the global sobolev inequalities in the minkowski space Rn+1

    Sergiu Klainerman

  • Finite energy solutions of the Yang-Mills equations in $\mathbb{R}^{3+1}$

    Sergiu Klainerman;Matei Machedon

  • Remark on the optimal regularity for equations of wave maps type

    Sergiu Klainerman;Sigmund Selberg

  • On the Maxwell-Klein-Gordon equation with finite energy

    S. Klainerman;M. Machedon

  • Decay and regularity for the schrödinger equation

    Matania Ben-artzi;Sergiu Klainerman

  • Mathematical aspects of nonlinear dispersive equations

    Jean Bourgain;Carlos E. Kenig;Sergiu Klainerman

Frequent Co-Authors

Igor Rodnianski
Igor Rodnianski Princeton University
Alexandru D. Ionescu
Alexandru D. Ionescu Princeton University
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Jean Bourgain
Jean Bourgain Institute for Advanced Study
Terence Tao
Terence Tao University of California, Los Angeles
Gustavo Ponce
Gustavo Ponce University of California, Santa Barbara
Daniel Tataru
Daniel Tataru University of California, Berkeley
James Isenberg
James Isenberg University of Oregon
Alan D. Rendall
Alan D. Rendall Johannes Gutenberg University of Mainz

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