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Frank Merle (mathematician)

April 14, 2024

For the American filmmaker, see Frank Merle.

Frank Merle (born 22 November 1962, in Marseille) is a French mathematician, specializing in partial differential equations and mathematical physics.

Frank Merle
Born (1962-11-22) 22 November 1962 (age 61)
Marseilles, France
CitizenshipFrench
Alma materÉcole normale supérieure
University of Paris IV
AwardsBôcher Prize (2005)
Prix Ampère (2018)
Bôcher Memorial Prize (2023)
Clay Research Award (2023)
Scientific career
FieldsPartial differential equations
Mathematical physics
InstitutionsUniversity of Cergy-Pontoise
Courtant Institute of Mathematical Sciences
Stanford University
Rutgers University
University of Chicago
Leiden University
University of Tokyo
Thesis Contributions a l'etude de certaines equations aux derivees partielles non lineaires de la physique mathematique (1987)

Education and career edit

After graduation from the École normale supérieure (ENS), Merle received in 1987 his Ph.D. from the University of Paris VI under Henri Berestycki with thesis Contributions a l'etude de certaines equations aux derivees partielles non lineaires de la physique mathematique.[1][2] He became a researcher for CNRS at ENS. In 1989/90 he was an assistant professor at the Courant Institute of Mathematical Sciences of the University of New York. Since 1991 Merle has been a professor at the University of Cergy-Pontoise. From 1998 to 2003 he was a member of the Institut Universitaire de France. In the fall of 1996, the fall of 2001, and the academic year 2003–2004 he was a visiting scholar at the Institute for Advanced Study.[3] He was a visiting professor at Stanford University, Rutgers University, the University of Chicago, the Mathematical Sciences Research Institute (MSRI) at Berkeley, Leiden University, and the University of Tokyo.

Mathematical research edit

Merle does research on partial differential equations (PDEs) and mathematical physics, notably dispersive nonlinear PDEs such as the nonlinear Schrödinger equation and the Korteweg–De Vries equation, and the study of such PDE solutions which over time break down or diverge (blow up). Such research earned him in 2005 the Bôcher Prize which he earned again in 2023.

Selected publications edit

  • with Yvan Martel: Martel, Yvan; Merle, Frank (2002). "Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation". Annals of Mathematics. 155 (1): 235–280. arXiv:math/0405229. doi:10.2307/3062156. JSTOR 3062156. S2CID 14960075.
  • with Y. Martel: "Blow up in finite time and dynamics of blow up solutions for the L2-critical generalized KdV equation". J. Amer. Math. Soc. 15: 617–664. 2002. doi:10.1090/S0894-0347-02-00392-2. MR 1896235.
  • with Pierre Raphäel: Merle, Frank; Raphael, Pierre (2004). "On universality of blow-up profile for L2 critical nonlinear Schroedinger equation". Inventiones Mathematicae. 156 (3): 565–672. Bibcode:2004InMat.156..565M. doi:10.1007/s00222-003-0346-z. S2CID 122944822.

Awards and honors edit

References edit

  1. ^ Contributions a l'etude de certaines equations aux derivees partielles non lineaires de la physique mathematique par Frank Merle, theses.fr
  2. ^ Frank Merle at the Mathematics Genealogy Project
  3. ^ Merle, Frank | Institute for Advanced Study
  4. ^ Merle, Frank (1998). "Blow-up phenomena for critical nonlinear Schrödinger and Sakharov equations". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. III. pp. 57–66.
  5. ^ "2005 Bôcher Memorial Prize" (PDF). Notices of the AMS. 52 (4): 443–444. April 2005.
  6. ^ "2023 Bôcher Memorial Prize". American Mathematical Society. December 5, 2022. Retrieved January 15, 2024.
  7. ^ Clay Research Award 2023

April 14, 2024
frank, merle, mathematician, american, filmmaker, frank, merle, frank, merle, born, november, 1962, marseille, french, mathematician, specializing, partial, differential, equations, mathematical, physics, frank, merleborn, 1962, november, 1962, marseilles, fra. For the American filmmaker see Frank Merle Frank Merle born 22 November 1962 in Marseille is a French mathematician specializing in partial differential equations and mathematical physics Frank MerleBorn 1962 11 22 22 November 1962 age 61 Marseilles FranceCitizenshipFrenchAlma materEcole normale superieure University of Paris IVAwardsBocher Prize 2005 Prix Ampere 2018 Bocher Memorial Prize 2023 Clay Research Award 2023 Scientific careerFieldsPartial differential equations Mathematical physicsInstitutionsUniversity of Cergy Pontoise Courtant Institute of Mathematical Sciences Stanford University Rutgers University University of Chicago Leiden University University of TokyoThesisContributions a l etude de certaines equations aux derivees partielles non lineaires de la physique mathematique 1987 Contents 1 Education and career 2 Mathematical research 3 Selected publications 4 Awards and honors 5 ReferencesEducation and career editAfter graduation from the Ecole normale superieure ENS Merle received in 1987 his Ph D from the University of Paris VI under Henri Berestycki with thesis Contributions a l etude de certaines equations aux derivees partielles non lineaires de la physique mathematique 1 2 He became a researcher for CNRS at ENS In 1989 90 he was an assistant professor at the Courant Institute of Mathematical Sciences of the University of New York Since 1991 Merle has been a professor at the University of Cergy Pontoise From 1998 to 2003 he was a member of the Institut Universitaire de France In the fall of 1996 the fall of 2001 and the academic year 2003 2004 he was a visiting scholar at the Institute for Advanced Study 3 He was a visiting professor at Stanford University Rutgers University the University of Chicago the Mathematical Sciences Research Institute MSRI at Berkeley Leiden University and the University of Tokyo Mathematical research editMerle does research on partial differential equations PDEs and mathematical physics notably dispersive nonlinear PDEs such as the nonlinear Schrodinger equation and the Korteweg De Vries equation and the study of such PDE solutions which over time break down or diverge blow up Such research earned him in 2005 the Bocher Prize which he earned again in 2023 Selected publications editwith Yvan Martel Martel Yvan Merle Frank 2002 Stability of blow up profile and lower bounds for blow up rate for the critical generalized KdV equation Annals of Mathematics 155 1 235 280 arXiv math 0405229 doi 10 2307 3062156 JSTOR 3062156 S2CID 14960075 with Y Martel Blow up in finite time and dynamics of blow up solutions for the L2 critical generalized KdV equation J Amer Math Soc 15 617 664 2002 doi 10 1090 S0894 0347 02 00392 2 MR 1896235 with Pierre Raphael Merle Frank Raphael Pierre 2004 On universality of blow up profile for L2 critical nonlinear Schroedinger equation Inventiones Mathematicae 156 3 565 672 Bibcode 2004InMat 156 565M doi 10 1007 s00222 003 0346 z S2CID 122944822 Awards and honors edit1997 Prix de l Institut Poincare en Physique theorique 1998 Invited speaker at the International Congress of Mathematicians in Berlin lecture entitled Blow up phenomena for critical nonlinear Schrodinger and Zakharov equations 4 2000 Prix Charles Louis de Saulse de Freycinet de l Academie des Sciences de Paris 2005 Medaille d argent du CNRS 2005 Bocher Memorial Prize 5 2014 Plenary speaker at the International Congress of Mathematicians in Seoul lecture entitled Asymptotics for critical nonlinear dispersive equations 2018 Prix Ampere awarded by French Academy of Sciences 2023 Bocher Memorial Prize 6 jointly to Merle Raphael Rodnianski and Szeftel 2023 Clay Research Award 7 References edit Contributions a l etude de certaines equations aux derivees partielles non lineaires de la physique mathematique par Frank Merle theses fr Frank Merle at the Mathematics Genealogy Project Merle Frank Institute for Advanced Study Merle Frank 1998 Blow up phenomena for critical nonlinear Schrodinger and Sakharov equations Doc Math Bielefeld Extra Vol ICM Berlin 1998 vol III pp 57 66 2005 Bocher Memorial Prize PDF Notices of the AMS 52 4 443 444 April 2005 2023 Bocher Memorial Prize American Mathematical Society December 5 2022 Retrieved January 15 2024 Clay Research Award 2023 Retrieved from https en wikipedia org w index php title Frank Merle mathematician amp oldid 1199194171, wikipedia, wiki, book, books, library,

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