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Yvan Martel

April 14, 2024

Yvan Martel (born January 5, 1970) is a French mathematician.

Education and career edit

Martel matriculated in 1989 at the École Polytechnique and graduated there in 1992 with an undergraduate degree and in 1993 with a Diplôme d'études approfondies (DEA) in nonlinear analysis and numerical analysis. At Pierre and Marie Curie University (Paris 6) he graduated in 1996 with Thèse de Doctorat (PhD) under the supervision of Thierry Cazenave. At the Cergy-Pontoise University, Martel habilitated in 2000[1] with advisor Jean Ginibre.

Martel's research deals with partial differential equations from mathematical physics, especially solitons. He has collaborated extensively with Frank Merle.

Martel was a Maître de conférences at Cergy-Pontoise University from 1997 to 2004, on leave at École Polytechnique as a full-time associate professor (Professeur chargé de cours à temps complet) from 2002 to 2004. From 2004 to 2012 he was a part-time associate professor (Professeur chargé de cours à temps incomplet) at École Polytechnique and a professor at Versailles Saint-Quentin-en-Yvelines University. He was the director of the laboratoire de mathématiques de Versailles (UVSQ/CNRS UMR8100) from 2008 to 2012 and the director of the Centre de mathématiques Laurent-Schwartz (CMLS) from 2012 to 2017. Since 2012 he is a professor at École Polytechnique[1] at CMLS.[2]

In 2008 Martel was an invited speaker at the European Congress of Mathematics in Amsterdam. From 2008 to 2012, he was a junior member of the Institut Universitaire de France.[1] In 2011 he gave a one-hour lecture at the Rivière-Fabes symposium in Minneapolis.[3] In 2018 he was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro.[4]

Selected publications edit

  • Cabré, Xavier; Martel, Yvan (1999). "Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier". Comptes Rendus de l'Académie des Sciences, Série I. 329 (11): 973–978. Bibcode:1999CRASM.329..973C. doi:10.1016/S0764-4442(00)88588-2. hdl:2117/764. ISSN 0764-4442.
  • 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.
  • Martel, Yvan; Merle, Frank (2002). "Blow up in finite time and dynamics of blow up solutions for the  2-critical generalized KdV equation". Journal of the American Mathematical Society. 15 (3): 617–665. doi:10.1090/S0894-0347-02-00392-2.
  • Martel, Yvan; Merle, Frank (2004). "Review on blow up and asymptotic dynamics for critical and subcritical gKDV equations". Noncompact Problems at the Intersection of Geometry, Analysis, and Topology. Contemporary Mathematics. Vol. 350. pp. 157–177. doi:10.1090/conm/350/06344. ISBN 9780821836354.
  • Martel, Yvan (2005). "Asymptotic N-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations". American Journal of Mathematics. 127 (5): 1103–1140. doi:10.1353/ajm.2005.0033. S2CID 121636286.
  • Martel, Yvan (2006). "Linear Problems Related to Asymptotic Stability of Solitons of the Generalized KDV Equations". SIAM Journal on Mathematical Analysis. 38 (3): 759–781. doi:10.1137/050637510.
  • Martel, Yvan; Merle, Frank; Tsai, Tai-Peng (2006). "Stability in   of the sum of   solitary waves for some nonlinear Schrödinger equations". Duke Mathematical Journal. 133 (3): 405–466. doi:10.1215/S0012-7094-06-13331-8. ISSN 0012-7094.
  • Martel, Yvan; Merle, Frank (2007). "Asymptotic stability of solitons of the gKdV equations with general nonlinearity". Mathematische Annalen. 341 (2): 391–427. arXiv:0706.1174. Bibcode:2007arXiv0706.1174M. doi:10.1007/s00208-007-0194-z. ISSN 0025-5831. S2CID 17518506.
  • Krieger, Joachim; Raphaël, Pierre; Martel, Yvan (2009). "Two-soliton solutions to the three-dimensional gravitational Hartree equation". Communications on Pure and Applied Mathematics. 62 (11): 1501–1550. arXiv:0811.3637. doi:10.1002/cpa.20292. S2CID 14888016.
  • Martel, Yvan; Merle, Frank (2011). "Description of two soliton collision for the quartic gKDV equation". Annals of Mathematics. 174 (2): 757–857. arXiv:0709.2672. doi:10.4007/annals.2011.174.2.2. S2CID 115170654.
  • Kenig, C.E.; Martel, Y.; Robbiano, L. (2011). "Local well-posedness and blow-up in the energy space for a class of   critical dispersion generalized Benjamin–Ono equations". Annales de l'Institut Henri Poincaré C. 28 (6): 853–887. arXiv:1006.0122. Bibcode:2011AIHPC..28..853K. doi:10.1016/j.anihpc.2011.06.005. ISSN 0294-1449.
  • Martel, Yvan; Merle, Frank (2011). "Review of long time asymptotics and collision of solitons for the quartic generalized Korteweg—de Vries equation". Proceedings of the Royal Society of Edinburgh, Section A. 141 (2): 287–317. doi:10.1017/S030821051000003X. S2CID 125047035.

References edit

  1. ^ a b c "Yvan Martel, CV in English". CNRSt.
  2. ^ "Yvan Martel, Professeur". École Polytechnique.
  3. ^ "The Fourteenth Rivière-Fabes Symposium on Analysis and PDE, April 15–17, 2011" (PDF). Mathematics Department of the University of Minnesota (math.umn.edu).
  4. ^ Martel, Yvan. "Interactions of solitons from the PDE point of view, ICM 2018" (PDF). math.cnrs.fr.

External links edit

  • Yvan Martel, CNRS home page

April 14, 2024
yvan, martel, born, january, 1970, french, mathematician, contents, education, career, selected, publications, references, external, linkseducation, career, editmartel, matriculated, 1989, École, polytechnique, graduated, there, 1992, with, undergraduate, degr. Yvan Martel born January 5 1970 is a French mathematician Contents 1 Education and career 2 Selected publications 3 References 4 External linksEducation and career editMartel matriculated in 1989 at the Ecole Polytechnique and graduated there in 1992 with an undergraduate degree and in 1993 with a Diplome d etudes approfondies DEA in nonlinear analysis and numerical analysis At Pierre and Marie Curie University Paris 6 he graduated in 1996 with These de Doctorat PhD under the supervision of Thierry Cazenave At the Cergy Pontoise University Martel habilitated in 2000 1 with advisor Jean Ginibre Martel s research deals with partial differential equations from mathematical physics especially solitons He has collaborated extensively with Frank Merle Martel was a Maitre de conferences at Cergy Pontoise University from 1997 to 2004 on leave at Ecole Polytechnique as a full time associate professor Professeur charge de cours a temps complet from 2002 to 2004 From 2004 to 2012 he was a part time associate professor Professeur charge de cours a temps incomplet at Ecole Polytechnique and a professor at Versailles Saint Quentin en Yvelines University He was the director of the laboratoire de mathematiques de Versailles UVSQ CNRS UMR8100 from 2008 to 2012 and the director of the Centre de mathematiques Laurent Schwartz CMLS from 2012 to 2017 Since 2012 he is a professor at Ecole Polytechnique 1 at CMLS 2 In 2008 Martel was an invited speaker at the European Congress of Mathematics in Amsterdam From 2008 to 2012 he was a junior member of the Institut Universitaire de France 1 In 2011 he gave a one hour lecture at the Riviere Fabes symposium in Minneapolis 3 In 2018 he was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro 4 Selected publications editCabre Xavier Martel Yvan 1999 Existence versus explosion instantanee pour des equations de la chaleur lineaires avec potentiel singulier Comptes Rendus de l Academie des Sciences Serie I 329 11 973 978 Bibcode 1999CRASM 329 973C doi 10 1016 S0764 4442 00 88588 2 hdl 2117 764 ISSN 0764 4442 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 Martel Yvan Merle Frank 2002 Blow up in finite time and dynamics of blow up solutions for the L displaystyle L nbsp 2 critical generalized KdV equation Journal of the American Mathematical Society 15 3 617 665 doi 10 1090 S0894 0347 02 00392 2 Martel Yvan Merle Frank 2004 Review on blow up and asymptotic dynamics for critical and subcritical gKDV equations Noncompact Problems at the Intersection of Geometry Analysis and Topology Contemporary Mathematics Vol 350 pp 157 177 doi 10 1090 conm 350 06344 ISBN 9780821836354 Martel Yvan 2005 Asymptotic N soliton like solutions of the subcritical and critical generalized Korteweg de Vries equations American Journal of Mathematics 127 5 1103 1140 doi 10 1353 ajm 2005 0033 S2CID 121636286 Martel Yvan 2006 Linear Problems Related to Asymptotic Stability of Solitons of the Generalized KDV Equations SIAM Journal on Mathematical Analysis 38 3 759 781 doi 10 1137 050637510 Martel Yvan Merle Frank Tsai Tai Peng 2006 Stability in H1 displaystyle H 1 nbsp of the sum of K displaystyle K nbsp solitary waves for some nonlinear Schrodinger equations Duke Mathematical Journal 133 3 405 466 doi 10 1215 S0012 7094 06 13331 8 ISSN 0012 7094 Martel Yvan Merle Frank 2007 Asymptotic stability of solitons of the gKdV equations with general nonlinearity Mathematische Annalen 341 2 391 427 arXiv 0706 1174 Bibcode 2007arXiv0706 1174M doi 10 1007 s00208 007 0194 z ISSN 0025 5831 S2CID 17518506 Krieger Joachim Raphael Pierre Martel Yvan 2009 Two soliton solutions to the three dimensional gravitational Hartree equation Communications on Pure and Applied Mathematics 62 11 1501 1550 arXiv 0811 3637 doi 10 1002 cpa 20292 S2CID 14888016 Martel Yvan Merle Frank 2011 Description of two soliton collision for the quartic gKDV equation Annals of Mathematics 174 2 757 857 arXiv 0709 2672 doi 10 4007 annals 2011 174 2 2 S2CID 115170654 Kenig C E Martel Y Robbiano L 2011 Local well posedness and blow up in the energy space for a class of L2 displaystyle L 2 nbsp critical dispersion generalized Benjamin Ono equations Annales de l Institut Henri Poincare C 28 6 853 887 arXiv 1006 0122 Bibcode 2011AIHPC 28 853K doi 10 1016 j anihpc 2011 06 005 ISSN 0294 1449 Martel Yvan Merle Frank 2011 Review of long time asymptotics and collision of solitons for the quartic generalized Korteweg de Vries equation Proceedings of the Royal Society of Edinburgh Section A 141 2 287 317 doi 10 1017 S030821051000003X S2CID 125047035 References edit a b c Yvan Martel CV in English CNRSt Yvan Martel Professeur Ecole Polytechnique The Fourteenth Riviere Fabes Symposium on Analysis and PDE April 15 17 2011 PDF Mathematics Department of the University of Minnesota math umn edu Martel Yvan Interactions of solitons from the PDE point of view ICM 2018 PDF math cnrs fr External links editYvan Martel CNRS home page Retrieved from https en wikipedia org w index php title Yvan Martel amp oldid 1133071206, wikipedia, wiki, book, books, library,

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