László Székelyhidi

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László Székelyhidi

László Székelyhidi Jr. (born April 17, 1977 in Debrecen ) is a Hungarian mathematician who deals with partial differential equations and the calculus of variations .

Székelyhidi is the son of a mathematician and his brother Gábor Székelyhidi is also a mathematician. Since his father was visiting lecturer in Hamburg and Kuwait at times, he went to school there too. He plays the violin and initially wavered between music and mathematics. He studied mathematics at Oxford University , where he received the Gibbs Prize in 2000, and received his doctorate in 2003 from the Max Planck Institute for Mathematics in Natural Sciences in Leipzig with Stefan Müller with his dissertation "Elliptic Regularity versus Rank-one Convexity". He then did a postdoc in Princeton , at the Max Planck Institute for Mathematics in the Sciences and at the ETH Zurich . From 2005 to 2007 he was lecturer (Heinz Hopf Lecturer) at the ETH Zurich, 2007–2011 professor at the University of Bonn and since 2011 professor at the University of Leipzig .

With Manfred Feilmeier , Oberwolfach , 2011

With Camillo De Lellis he simplified the proof of the Scheffer-Shnirelman paradox (after Vladimir Scheffer 1993, Alexander Shnirelman 1997) of the two-dimensional Euler equations of incompressible ideal liquids (without external forces). It says that mathematical solutions exist that can suddenly rock themselves up from a state of calm to turbulent behavior without external stimulation, contrary to all physical experience (they violate the law of conservation of energy). To do this, they constructed weak solutions of the Euler equations with a new method of convex integration, based on older work by John Forbes Nash Jr. and Nicolaas Kuiper from the mid-1950s on isometric embeddings.

Since 2008 he has been a member of the Young Academy at the Berlin-Brandenburg Academy of Sciences and the German Academy of Sciences Leopoldina . In 2019 László Székelyhidi was accepted as a member of the National Academy of Sciences Leopoldina in the Mathematics section .

In 2011 he and Nicola Gigli received the Oberwolfach Prize . In 2014 he was invited speaker at the ICM in Seoul (The h-principle and turbulence). He received an ERC Starting Grant in 2011 and an ERC Consolidator Grant in 2017 and the Gottfried Wilhelm Leibniz Prize in 2018 . In 2019 he will hold a Gauss lecture .

Tristan Buckmaster is one of his PhD students .

Fonts (selection)

  • The regularity of critical points of polyconvex functionals. Arch. Ration. Mech. Anal. 172 (2004), no. 1, 133-152.
  • with de Lellis: The Euler equations as a differential inclusion. Ann. of Math. (2) 170 (2009), no. 3, 1417-1436.
  • with de Lellis: Dissipative continuous Euler flows. Invent. Math. 193 (2013), no.2, 377-407.
  • with de Lellis: On turbulence and geometry from Nash to Onsager , Notices AMS, May 2019

Web links

Individual evidence

  1. ↑ At first he wanted to start studying in Hamburg, but the English degree in Kuwait was not recognized as a qualification.
  2. ↑ De Lellis, Szekelyhidi The Euler equation as differential inclusion , Ann. of Math., 170, 2009, 1417-1436
  3. ↑ De Lellis, Szekelyhidi On admissibility criteria for weak solutions of the Euler equations , Arch. Rat. Mech. Anal., 195, 2010, 225-260
  4. ↑ Vladimir Scheffer On inviscid flow with compact support in space-time , J. Geom. Anal. 3, 1993, 343-401
  5. ↑ A. Shnirelman On the non-uniqueness of weak solution of the Euler equation , Comm. Pure Appl. Math., 50, 1997, 1261-1286
  6. ↑ Cédric Villani Paradoxe de Scheffer-Shnirelman revu sous l'angle de l'integration convexe, d'après C. De Lellis et L. Szekelyhidi , Seminaire Bourbaki, No. 1001, November 2008
  7. ^ After Nash, further developed by Michail Leonidowitsch Gromow
personal data
SURNAME Székelyhidi, László
ALTERNATIVE NAMES Székelyhidi, László junior
BRIEF DESCRIPTION Hungarian mathematician
DATE OF BIRTH April 17, 1977
PLACE OF BIRTH Debrecen