Sergiu Klainerman

Sergiu Klainerman (born May 13, 1950) is a mathematician known for his contributions to the study of hyperbolic differential equations and general relativity. He is currently the Eugene Higgins Professor of Mathematics at Princeton University, where he has been teaching since 1987. From 1980 to 1987 he was a faculty member at New York University.

Sergiu Klainerman
Sergiu Klainerman
Born (1950-05-13) May 13, 1950
Bucharest, Romania
NationalityRomanian American
Alma materNew York University
AwardsBôcher Prize (1999)[1]
Scientific career
FieldsMathematics
InstitutionsPrinceton University
Doctoral advisorsFritz John
Louis Nirenberg
Doctoral studentsGustavo Ponce

Klainerman is a member of the U.S. National Academy of Sciences (elected 2005),[2] a foreign member of the French Academy of Sciences (elected 2002)[3] and a Fellow of the American Academy of Arts and Sciences (elected 1996).[4] He was elected to the 2018 class of fellows of the American Mathematical Society.[5]

He was named a MacArthur Fellow in 1991[6] and Guggenheim Fellow in 1997.[7] Klainerman was awarded the Bôcher Memorial Prize by the American Mathematical Society in 1999 "for his contributions to nonlinear hyperbolic equations".[1] He is currently a co-Editor-in-Chief of Publications Mathématiques de l'IHÉS.[8]

Major publications
  • Klainerman, Sergiu. Global existence for nonlinear wave equations. Comm. Pure Appl. Math. 33 (1980), no. 1, 43–101.
  • Klainerman, Sergiu; Majda, Andrew. Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Comm. Pure Appl. Math. 34 (1981), no. 4, 481–524.
  • Klainerman, Sergiu; Majda, Andrew. Compressible and incompressible fluids. Comm. Pure Appl. Math. 35 (1982), no. 5, 629–651.
  • Klainerman, Sergiu. Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions. Comm. Pure Appl. Math. 38 (1985), no. 5, 631–641.
  • Klainerman, Sergiu. Uniform decay estimates and the Lorentz invariance of the classical wave equation. Comm. Pure Appl. Math. 38 (1985), no. 3, 321–332.
  • Klainerman, S. The null condition and global existence to nonlinear wave equations. Nonlinear systems of partial differential equations in applied mathematics, Part 1 (Santa Fe, N.M., 1984), 293–326, Lectures in Appl. Math., 23, Amer. Math. Soc., Providence, RI, 1986.
  • Klainerman, S.; Machedon, M. Space-time estimates for null forms and the local existence theorem. Comm. Pure Appl. Math. 46 (1993), no. 9, 1221–1268.
  • Klainerman, S.; Machedon, M. Smoothing estimates for null forms and applications. A celebration of John F. Nash, Jr. Duke Math. J. 81 (1995), no. 1, 99–133 (1996).
  • Klainerman, Sergiu; Sideris, Thomas C. On almost global existence for nonrelativistic wave equations in 3D. Comm. Pure Appl. Math. 49 (1996), no. 3, 307–321.

Books
  • Christodoulou, Demetrios; Klainerman, Sergiu. The global nonlinear stability of the Minkowski space. Princeton Mathematical Series, 41. Princeton University Press, Princeton, NJ, 1993. x+514 pp. ISBN 0-691-08777-6
  • Klainerman, Sergiu; Nicolò, Francesco. The evolution problem in general relativity. Progress in Mathematical Physics, 25. Birkhäuser Boston, Inc., Boston, MA, 2003. xiv+385 pp. ISBN 0-8176-4254-4

References
  1. 1999 Bôcher Prize, Notices of the American Mathematical Society, vol. 46 (1999), no. 4, pp. 463-466
  2. National Academy of Sciences elections, Notices of the American Mathematical Society, vol. 52 (2005), no. 7, p. 764
  3. Sergiu Klainerman bio page, French Academy of Sciences. Accessed January 13, 2010.
  4. American Academy Elections. Notices of the American Mathematical Society, vol. 43 (1996), no. 7, p. 781
  5. 2018 Class of the Fellows of the AMS, American Mathematical Society, retrieved 2017-11-03
  6. MacArthur Fellows, July 1991 Archived 2007-09-29 at the Wayback Machine, MacArthur Foundation. Accessed January 13, 2010.
  7. Fellows list, Archived 2011-06-03 at the Wayback Machine Guggenheim Foundation. Accessed January 13, 2010.
  8. Editorial Board, Publications Mathématiques de l'IHÉS. Accessed January 13, 2010
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