D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 49 Citations 11,447 114 World Ranking 832 National Ranking 417

Research.com Recognitions

Awards & Achievements

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

What is he best known for?

The fields of study Sergiu Klainerman is best known for:

  • Quantum mechanics
  • Statistics
  • Applied mathematics

In most of his Statistics studies, his work intersects topics such as Smoothing and Energy (signal processing). As part of his studies on Energy (signal processing), Sergiu Klainerman often connects relevant subjects like Quantum mechanics. While working in this field, he studies both Quantum mechanics and Mathematical physics. Sergiu Klainerman merges many fields, such as Mathematical physics and Mathematical analysis, in his writings. Much of his study explores Mathematical analysis relationship to Maxwell's equations. He undertakes interdisciplinary study in the fields of Applied mathematics and Algorithm through his research. Sergiu Klainerman performs multidisciplinary study on Algorithm and Applied mathematics in his works. His Data mining study frequently draws connections between adjacent fields such as Null (SQL). His Null (SQL) study typically links adjacent topics like Data mining.

His most cited work include:

  • Smoothing estimates for null forms and applications (156 citations)
  • On the Maxwell-Klein-Gordon equation with finite energy (144 citations)

What are the main themes of his work throughout his whole career to date

His biological study deals with issues like Statistics, which deal with fields such as Energy (signal processing). His Energy (signal processing) study frequently draws connections between related disciplines such as Quantum mechanics. Sergiu Klainerman regularly links together related areas like Rigidity (electromagnetism) in his Quantum mechanics studies. His Algebra over a field course of study focuses on Pure mathematics and Field (mathematics), Riemannian manifold and Hypersurface. His Field (mathematics) study frequently links to other fields, such as Pure mathematics. His biological study deals with issues like Null (SQL), which deal with fields such as Data mining. His work on Data mining is being expanded to include thematically relevant topics such as Null (SQL). His research on Mathematical physics frequently links to adjacent areas such as Einstein. His work on Mathematical physics expands to the thematically related Einstein.

Sergiu Klainerman most often published in these fields:

  • Mathematical physics (70.00%)
  • Operating system (50.00%)
  • Space (punctuation) (50.00%)

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.

Best Publications

The Global Nonlinear Stability of the Minkowski Space.

Demetrios Christodoulou;Sergiu Klainerman.
(1994)

1252 Citations

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

Sergiu Klainerman;Andrew Majda.
Communications on Pure and Applied Mathematics (1981)

992 Citations

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

Sergiu Klainerman;M. MacHedon.
Communications on Pure and Applied Mathematics (1993)

717 Citations

Compressible and incompressible fluids

Sergiu Klainerman;Andrew Majda.
Communications on Pure and Applied Mathematics (1982)

687 Citations

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

Sergiu Klainerman.
Communications on Pure and Applied Mathematics (1985)

643 Citations

Global existence for nonlinear wave equations

Sergiu Klainerman.
Communications on Pure and Applied Mathematics (1980)

544 Citations

Global, small amplitude solutions to nonlinear evolution equations

S. Klainerman;Gustavo Ponce.
Communications on Pure and Applied Mathematics (1983)

373 Citations

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

Sergiu Klainerman.
Communications on Pure and Applied Mathematics (1985)

364 Citations

Almost global existence to nonlinear wave equations in three space dimensions

F. John;S. Klainerman.
Communications on Pure and Applied Mathematics (1984)

260 Citations

Smoothing estimates for null forms and applications

S. Klainerman;M. Machedon.
Duke Mathematical Journal (1995)

243 Citations

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