Yvan Martel

from Wikipedia, the free encyclopedia

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

Martel studied at the École Polytechnique since 1989 and received his DEA in 1993 with a thesis on nonlinear and numerical analysis. In 1996 he received his doctorate from Haïm Brezis at the University of Paris VI (Thèse de Doctorat) and in 2000 he received his habilitation from the University of Cergy-Pointoise (with Jean Ginibre ).

He deals with various partial differential equations in mathematical physics ( soliton solutions, etc.). He worked a lot with Frank Merle (including blow-up of the generalized Korteweg-de-Vries equation ) and, for example, with Carlos Kenig .

From 1997 to 2004 he was Maître de conférences at the University of Cergy-Pontoise (although he was seconded to the École Polytechnique from 2002 to 2004, where he was also part-time professor Chargé de Cours). From 2004 to 2012 he was a professor at the University of Versailles- Saint Quentin, has been a professor at the École Polytechnique since 2012 and researches at the Center de Mathématiques Laurent Schwartz.

In 2008 he was invited speaker at the European Congress of Mathematicians in Amsterdam. For 2018 he is invited speaker at the International Congress of Mathematicians in Rio de Janeiro . From 2008 to 2012 he was a junior member of the Institut Universitaire de France.

Fonts (selection)

  • with Merle, P. Raphaël: Blow up for the critical gKdV equation I: dynamics near the soliton, Acta Math., Volume 212, 2014, pp. 59-140, Part 2: minimal mass dynamics, J. of Math. Eur. Soc, volume. 17, 2015, pp. 1855–1925, Part 3: III: exotic regimes, Annali della Scuola Normale Superiore de Pisa, Volume 14, 2015, pp. 575–631
  • with Merle: Description of two soliton collision for the quartic gKdV equation, Annals of Mathematics, Volume 174, 2011, pp. 757-857
  • with Merle: Asymptotic stability of solitons of the gKdV equations with a general nonlinearity, Mathematische Annalen, Volume 341, 2008, pp. 391-427.
  • with Merle, Tai-Peng Tsai: Stability in H1 of the sum of K solitary waves for some nonlinear Schrˆdinger equations, Duke Math. J., Volume 133, 2006, pp. 405-466.
  • with Merle: Stability of two soliton collision for nonintegrable gKdV equations, Communications in Mathematical Physics, Volume 286, 2009, pp. 39-79.
  • with CE Kenig: Asymptotic stability of solitons for the Benjamin-Ono equation, Revista Matematica Iberoamericana, Volume 25, 2009, pp. 909-970.

Web links

Individual evidence

  1. ↑ According to his curriculum vitae (chairman of the examination committee), after Yvan Martel in the Mathematics Genealogy Project (English) Template: MathGenealogyProject / Maintenance / id usedwith Thierry Cazenave
personal data
SURNAME Martel, Yvan
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH 5th January 1970