Gero Friesecke

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Gero Friesecke

Gero Friesecke (born June 19, 1964 in Bonn ) is a German mathematician and professor of analysis at the Technical University of Munich and the University of Warwick .

Life

Friesecke studied from 1985 at the University of Bonn and from 1990 at the Heriot-Watt University in Edinburgh , where he received his doctorate in 1993 under John M. Ball . After postdoctoral stays at Carnegie Mellon University , the Albert Ludwigs University of Freiburg and the ETH Zurich , he was lecturer in 1997/98 and then professor at Oxford University . Since 2001 he has been a professor at the University of Warwick and, since 2004, has held the chair for analysis at the Technical University of Munich .

Friesecke deals with the calculus of variations and mathematical physics . He made significant contributions in the field of dynamics of lattices, nonlinear elasticity theory , and the mathematical aspects of the quantum mechanics of atoms and molecules. Much of Friesecke's work is directly motivated by physical issues.

The first work by Friesecke deals with retarded differential equations . Then he dealt with the existence of solitons in lattice vibrations. Particularly noteworthy are the work done in collaboration with Robert Pego on the existence and properties of solitons in the Fermi-Pasta-Ulam problem . From 1999 to 2004 they developed a complete theory on the problem in a series of articles.

One of his most important works is the proof of a geometric rigidity theorem together with Richard D. James ( University of Minnesota ) and Stefan Müller ( University of Bonn ). This is used in elasticity theory. There the question arises how a meaningful equation for the equilibrium state of a two-dimensional body can be derived from an equation for the equilibrium state for a three-dimensional body. One of the possible approaches to this problem is to describe the state of equilibrium as a minimizer of the energy and to carry out a limit transition for the energy functional by means of the Γ-convergence .

More recent work deals primarily with questions of quantum mechanics . On the one hand, Friesecke tries to derive chemical properties of an element from the associated Schrödinger equation . On the other hand, he tries to mathematically prove known physical statements, such as the Ehrenfest theorem . Friesecke himself describes quantum mechanics as his motivation to deal with mathematics.

Prizes and awards

Publications

  • G. Friesecke, BD Goddard: Explicit large nuclear charge limit of electronic ground states for Li, Be, B, C, N, O, F, Ne and basic aspects of the periodic table. In: SIAM J. Math. Analysis. Volume 41, No. 2, 2009, pp. 631-664.
  • G. Friesecke: The multiconfiguration equations for atoms and molecules: charge quantization and existence of solutions. In: Arch. Rat. Mech. Analysis. 169, 2003, pp. 35-71.
  • G. Friesecke, F. Theil: Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice. In: J. Nonl. Sci. 12 No. 5, 2002, pp. 445-478.
  • G. Friesecke, RD James, S. Müller: A hierarchy of plate models derived from nonlinear elasticity by Gamma-convergence. In: Arch. Rat. Mech. Anal. Volume 180, 2006, pp. 183-236.
  • G. Friesecke, RD James, S. Müller: A theorem on geometric rigidity and the derivation of nonlinear plate theory from three dimensional elasticity. In: Comm. Pure Appl. Math. Volume 55, 2002, pp. 1461-1506.
  • G. Friesecke, RD James, S. Müller: The Föppl-von Karman plate theory as a low energy Gamma limit of nonlinear elasticity. In: CR Acad. Sci. Paris Ser. I. 335, 2002, pp. 201-206.
  • G. Friesecke, RD James, S. Müller: Rigorous derivation of nonlinear plate theory and geometric rigidity. In: CR Acad. Sci. Paris Ser. I. 334, 2002, pp. 173-178.
  • G. Friesecke, RL Pego: Solitary waves on Fermi-Pasta-Ulam lattices: IV. Proof of stability at low energy. In: Nonlinearity. 17, 2004, pp. 229-252.
  • G. Friesecke, RL Pego: Solitary waves on Fermi-Pasta-Ulam lattices: III. Howland-type Floquet theory. In: Nonlinearity. 17, 2004, pp. 207-228.
  • G. Friesecke, RL Pego: Solitary waves on Fermi-Pasta-Ulam lattices: II. Linear implies nonlinear stability. In: Nonlinearity. 15, 2002, pp. 1343-1359.
  • G. Friesecke, RL Pego: Solitary waves on Fermi-Pasta-Ulam lattices: I. Qualitative properties, renormalization and continuum limit. In: Nonlinearity. 12, 1999, pp. 1601-1627.

Web links

Individual evidence

  1. ↑ Friesecke, Gero . In: Werner Schuder (Ed.): Kürschner's German Scholars Calendar . Founded by Joseph Kürschner . 22nd edition. Part 1: A-G . KG Saur Verlag, München [ua] 2009, ISBN 978-3-598-23629-7 , doi : 10.1515 / 9783110932195 ( degruyter.com [accessed on 19 August 2011] constantly updated restricted access online edition [Article ID: P86834]) .
  2. ↑ Gero Friesecke in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ ( page no longer available , search in web archives: siamdl.aip.org )@1@ 2Template: Dead Link / siamdl.aip.org
  4. ↑ springerlink.com
  5. ↑ scitation.aip.org  ( page no longer available , search in web archives )  Info: The link was automatically marked as defective. Please check the link according to the instructions and then remove this notice.@1@ 2Template: Dead Link / scitation.aip.org  
  6. ↑ http://www.ma.tum.de/Schulportal/ProfFriesecke ( Memento from August 18, 2014 in the Internet Archive )
personal data
SURNAME Fries corner, Gero
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH June 19, 1964
PLACE OF BIRTH Bonn