Gábor Domokos

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Gábor Domokos (born November 12, 1961 in Budapest ) is a Hungarian applied mathematician and engineer.

Domokos graduated from the Technical University of Budapest with a degree in architecture and engineering in 1986 , where he received his doctorate in 1990 and qualified as a professor in 1996. After that he had a full professorship there. Since 2001 he has headed the Graduate School for Engineering and Architecture.

He has been Adjunct Professor at the Sibley School of Mechanical and Aerospace Engineering at Cornell University since 1999 . In 2008/09 he was a visiting fellow at Trinity College, Cambridge.

He is known for the discovery of the Gömböc (2006 with his student Péter Várkonyi), a three-dimensional convex body with only one stable and only one unstable equilibrium. He thus solved a problem for Vladimir Arnold . Before that, he had looked in vain for it in nature (examining thousands of beach pebbles on Rhodes while on vacation). The Gömböc straightens itself up.

He also dealt with the formation of pebbles by erosion during transport in rivers or by winds, which he also applied to pebbles on Mars.

In 2004 he became a corresponding and in 2010 full member of the Hungarian Academy of Sciences. In 2007 he received the Knight's Cross of the Order of Merit of the Republic of Hungary.

Fonts

  • with Philip Holmes : Euler's problem, Euler's method, and the standard map; or, the discrete charm of buckling, Journal of Nonlinear Science, Volume 3, 1993, pp. 109-151
  • Global description of elastic bars, Journal of Applied Mathematics and Mechanics, Volume 74, 1994, pp. T289 – T291
  • with Z. Gáspár: A Global, Direct Algorithm for Path-Following and Active Static Control of Elastic Bar Structures, Journal of Structural Mechanics, Volume 23, 1995, pp. 549-571
  • A group-theoretical approach to the geometry of elastic rings, Journal of Nonlinear Science, Volume 5, 1995, pp. 453-478
  • with P. Holmes, B. Royce: Constrained euler buckling, Journal of Nonlinear Science, Volume 7, 1997, pp. 281-314
  • with PL Varkonyi: Static equilibria of rigid bodies: dice, pebbles, and the Poincaré-Hopf theorem, Journal of nonlinear science, Volume 16, 2006, pp. 255–281
  • with PL Varkonyi: Mono-monostatic bodies: the answer to Arnold's question, The Mathematical Intelligencer, Volume 28, Issue 4, 2006, pp. 34-38.
  • with PL Varkonyi: Geometry and self-righting of turtles, Proceedings of the Royal Society B: Biological Sciences, Volume 275, 2008, p. 11
  • with A. Sipos, T. Szab´, PL Várkonyi: Pebbles, shapes, and equilibria, Mathematical Geosciences, Volume 42, 2010, pp. 29-47
  • with GW Gibbons: The evolution of pebble size in space and time, Arxiv 2011
  • with GW Gibbons: Geometrical and physical models of abrasion, Arxiv 2013
  • with Philip Holmes, Zsolt Langi: A genealogy of convex solids via local and global bifurcations of gradient vector fields, Journal of Nonlinear Science, Volume 26, 2016, pp. 1789–1815, Arxiv 2015
  • with Zsolt Lángi, Tímea Szabó: A topological classification of convex bodies, Geometria Dedicata, Volume 182, 2016, pp. 95–116, Arxiv

Web links

Individual evidence

  1. Domokos u. a., Reconstructing the transport history of pebbles on Mars, Nature Communications, Volume 6, 2015