Research

Interests and publications

Research interests

  • Ordinary and partial differential equations and their dynamics
  • Dynamical Systems and Ergodic Theory
  • Kinetic Theory and Entropy methods
  • Boltzmann equation and its BGK-type approximations
  • Long-time behavior of solutions (Hypocoercivity)
  • Models of chemical reactions
  • Physical applications

Publications

In progress

  • Discrete hypocoercivity for a nonlinear generation-recombination model.
    joint work with L. Liu and M. Pirner

Refereed journal articles

  • A. Pauthier, J.D.M. Rademacher, D. Ulbrich.
    Weak and strong interaction of excitation kinks in scalar parabolic equations.
    J Dyn Diff Equat. Published 30 July 2021; Volume 35, pages 2199-2235, (2023) [DOI] [arXiv]
  • M. Keßeböhmer, J.D.M. Rademacher, D. Ulbrich.
    Dynamics and topological entropy of 1D Greenberg-Hastings cellular automata.
    Ergodic Theory and Dynamical Systems. 2021;41(5):1397-1430 [DOI] [arXiv]

Theses

  • D. Ulbrich.
    Ergodic theory of nonlinear waves in discrete and continuous excitable media.
    Dissertation, 2021 [DOI]
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