Sergiu Klainerman

{{Infobox scientist

| name = Sergiu Klainerman

| image = Sergiu Klainerman.jpg

| image_size = 220px

| alt =

| caption = Sergiu Klainerman in 1978

| birth_date = {{birth date and age |1950|5|13|mf=y}}

| birth_place = Bucharest, Romanian People's Republic

| death_date =

| death_place =

| nationality = Romanian American

| fields = Mathematics

| workplaces = University of California, Berkeley
New York University
Princeton University

| alma_mater = University of Bucharest
New York University

| thesis_title = Global Existence for Nonlinear Wave Equations

| thesis_url = https://bobcat.library.nyu.edu/permalink/f/ci13eu/nyu_aleph001044164

| thesis_year = 1978

| doctoral_advisors = Fritz John
Louis Nirenberg

| doctoral_students = Gustavo Ponce

| known_for =

| awards = Bôcher Prize (1999)[http://www.ams.org/notices/199904/comm-bocher-prz.pdf 1999 Bôcher Prize], Notices of the American Mathematical Society, vol. 46 (1999), no. 4, pp. 463-466

}}

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.

Biography

He was born in 1950 in Bucharest, Romania, into a Jewish family. After attending the Petru Groza High School,{{cite news|url=https://ziare.com/international/stiri-internationale/sergiu-klainerman-nu-este-suficient-sa-aparam-libertatea-de-exprimare-si-neutralitatea-o-strategie-de-aparare-a-culturii-occidentale-e-necesara-1629593|title=Sergiu Klainerman: Nu este suficient să apărăm libertatea de exprimare și neutralitatea. O strategie de apărăre a culturii occidentale e necesară|lang=ro|publisher=Ziare.com|date=September 7, 2020|access-date=August 16, 2024}} he studied mathematics at the University of Bucharest from 1969 to 1974. For graduate studies he went to New York University, obtaining his Ph.D. in 1978.{{cite web| url=https://web.math.princeton.edu/~seri/homepage/SergiuCV.pdf|title=Sergiu Klainerman's Curriculum Vitae}} His thesis, written under the direction of Fritz John and Louis Nirenberg, was titled Global Existence for Nonlinear Wave Equations.{{MathGenealogy |id=18856}} From 1978 to 1980 Klainerman was a Miller Research Fellow at the University of California, Berkeley, while from 1980 to 1987 he was a faculty member at New York University's Courant Institute of Mathematical Sciences, rising in rank to Professor in 1986.

Klainerman is a member of the U.S. National Academy of Sciences (elected 2005),[https://www.ams.org/notices/200507/people.pdf National Academy of Sciences elections], Notices of the American Mathematical Society, vol. 52 (2005), no. 7, p. 764 a foreign member of the French Academy of Sciences (elected 2002)[http://www.academie-sciences.fr/membres/K/Klainerman_Sergiu.htm Sergiu Klainerman bio page] {{Webarchive|url=https://web.archive.org/web/20091129083838/http://www.academie-sciences.fr/membres/K/Klainerman_Sergiu.htm |date=2009-11-29 }}, French Academy of Sciences. Accessed January 13, 2010. and a Fellow of the American Academy of Arts and Sciences (elected 1996).[http://www.ams.org/notices/199607/people.pdf American Academy Elections.] Notices of the American Mathematical Society, vol. 43 (1996), no. 7, p. 781 In 2003, he was awarded the Romanian Order of Merit, Commander rank.{{citation| url=https://legislatie.just.ro/Public/DetaliiDocument/44401| title=Decret nr. 370 din 11 iunie 2003| language=ro|work=Monitorul Oficial| issue=420|date=June 16, 2003|access-date=May 28, 2025}} He was elected to the 2018 class of fellows of the American Mathematical Society.{{citation|url=http://ams.org/profession/ams-fellows/new-fellows|title=2018 Class of the Fellows of the AMS|publisher=American Mathematical Society|access-date=2017-11-03}}

He was named a MacArthur Fellow in 1991[http://www.macfound.org/site/c.lkLXJ8MQKrH/b.1142705/k.28E8/Fellows_List__July_1991.htm MacArthur Fellows, July 1991] {{webarchive|url=https://web.archive.org/web/20070929090935/http://www.macfound.org/site/c.lkLXJ8MQKrH/b.1142705/k.28E8/Fellows_List__July_1991.htm |date=2007-09-29 }}, MacArthur Foundation. Accessed January 13, 2010. and Guggenheim Fellow in 1997.[http://www.gf.org/fellows/all?index=k&page=10 Fellows list], {{webarchive|url=https://web.archive.org/web/20110603234941/http://www.gf.org/fellows/all?index=k&page=10 |date=2011-06-03 }} Guggenheim Foundation. Accessed January 13, 2010.

Klainerman was awarded the Bôcher Memorial Prize by the American Mathematical Society in 1999 "for his contributions to nonlinear hyperbolic equations". He is currently a co-Editor-in-Chief of Publications Mathématiques de l'IHÉS.[https://www.ihes.fr/jsp/site/Portal.jsp?page_id=29 Editorial Board], Publications Mathématiques de l'IHÉS. Accessed January 13, 2010

Major publications

{{Cite journal|last=Klainerman|first=Sergiu|year=1980|title=Global existence for nonlinear wave equations|journal=Communications on Pure and Applied Mathematics|volume=33|issue=1|pages=43–101|doi=10.1002/cpa.3160330104|mr=0544044}}
{{Cite journal|last1=Klainerman|first1=Sergiu|last2=Majda|first2=Andrew|author2-link=Andrew Majda|year=1981|title=Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids|journal=Communications on Pure and Applied Mathematics|volume=34|issue=4|pages=481–524|doi=10.1002/cpa.3160340405|bibcode=1981CPAM...34..481K|mr=0615627}}
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 Mathematical Journal 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}}