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Faculty of Mathematics, Physics and Computer Sciences

Chair of Mathematics VI Nonlinear Analysis and Mathematical Physics

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Research

Team of Prof. Dr. Thomas Kriecherbauer

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The research conducted at the working group includes the following topics:

  • dynamics of completely integrable systems
  • evolution of stochastic correlations
  • asymptotic analysis of Riemann-Hilbert problems
  • random matrix theory

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Team of Prof. Dr. Gerhard Rein

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The research of the working group focuses on nonlinear partial differential equations for the description of large ensembles of particles interacting via self-consistent forces, e.g.

  • Vlasov-Poisson system,
  • Vlasov-Maxwell system,
  • Einstein-Vlasov system,

motivated by problems from astrophysics (dynamics of galaxies, formation of black holes) and plasma physics. Typical questions:

  • initial value problem, local/global existence,
  • stationary solutions and their stability or instability,
  • time periodic, pulsating solutions,
  • gravitational collapse.

Webmaster: Univ.Prof.Dr. Thomas Kriecherbauer

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