Hermann Flaschka

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Hermann Flaschka (born March 25, 1945 in Öblarn , Austria ) is an Austrian-American theoretical physicist and mathematician .

Flaschka studied at the Georgia Institute of Technology (Bachelor 1967) and received his PhD from the Massachusetts Institute of Technology with Gilbert Strang (Asymptotic Expansions and Hyperbolic Equations with Multiple Characteristics). He then worked as a post-doc at Carnegie Mellon University and, from 1972, at the University of Arizona , where he became a professor and has remained ever since. Among other things, he was visiting professor at Clarkson University (1978/79) at the RIMS in Kyōto (1980/81) and at the École polytechnique fédérale de Lausanne (2002).

Flaschka made important contributions in the field of precisely integrable dynamic systems, for example he showed the exact solvability of the Toda chain (by Morikazu Toda ) with inverse scattering transformation and with AC Newell he led multiphase solutions (multiphase similarity solutions) of nonlinear precisely integrable equations such as the Korteweg -de-Vries equation , using differential equations that are satisfied by their spectral parameters. Both of them also developed the isomonodromic transformation method in 1980 and dealt with the relationship between soliton equations and Lie algebras.

In 1980 he was co-founder of Physica D (Nonlinear Phenomena), which he co-edited. In 1995 he received the Norbert Wiener Prize . He is a fellow of the American Mathematical Society .

Fonts

  • The Toda Lattice, 2 parts, Phys. Rev. B, Vol. 9, 1974, pp. 1924-1925, Progr. Theoretical Physics, Vol. 51, 1974, 703-706
  • with Newell: Integrable systems of nonlinear evolution equations, in J. Moser, Dynamical Systems, Theory and Applications, Springer, Lecture Notes in Physics 38, 1975, pp. 355-466
  • with Newell: Monodromy and spectrum preserving deformations, Part 1, Comm. Math. Phys., Vol. 76, 1980, pp. 65-116
  • with AC Newell, M. Tabor: Integrability, in: VE Zakharov, What is Integrability?, Springer 1991, pp. 73-114

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personal data
SURNAME Flaschka, Hermann
BRIEF DESCRIPTION Austrian-American theoretical physicist and mathematician
DATE OF BIRTH March 25, 1945
PLACE OF BIRTH Öblarn , Austria