Jörg Weber

Faculty of Mathematics. University of Vienna.

prof_pic.jpg

room 03.120

Oskar-Morgenstern-Platz 1

1090 Vienna, Austria

I am a postdoctoral fellow in mathematics at the University of Vienna, mentored by Adrian Constantin. I obtained my doctorate in 2020 from the University of Bayreuth under the supervision of Gerhard Rein. Afterwards I was a postdoctoral fellow and researcher at Lund University, mentored by Erik Wahlén.

My research concerns the analytical study of nonlinear partial differential equations, in particular within the scope of fluid mechanics and kinetic theory. My main interests include

  • in fluid mechanics
    • steady water waves modelled by the full Euler equations,
    • two-dimensional waves with general vorticity,
    • amplitude bounds for water waves,
    • axisymmetric waves with vorticity and swirl;
  • in kinetic theory
    • analysis of kinetic equations such as Vlasov—Poisson or Vlasov—Maxwell,
    • optimal control problems arising in plasma physics,
    • construction and stability of confined stationary plasmas.

news

Aug 16, 2024 My paper Axisymmetric capillary water waves with vorticity and swirl connecting to static unduloid configurations with A.-M. Otsetova and E. Wahlén has been published.
Jul 30, 2024 My paper Large-amplitude steady gravity water waves with general vorticity and critical layers with E. Wahlén has been published.
Jul 10, 2024 My paper Controlling a Vlasov—Poisson plasma by a Particle-In-Cell method based on a Monte Carlo framework with J. Bartsch, P. Knopf and S. Scheurer has been published.
May 26, 2024 This website has been created.

activities

Feb 2025 Conference on Mathematics of Wave Phenomena, February 24—28, 2025, at Karlsruhe Institute of Technology, Germany. I am co-organising the minisymposium Bifurcation and Pattern Formation in Dynamical Systems.
Oct 2024 Workshop Nonlinear Water Waves: Rigorous Analysis and Scientific Computing, October 27—November 1, 2024, at Banff International Research Station, Canada.
Aug 2024 Workshop Mathematical theory of water waves, August 20—22, 2024, at Lund University, Sweden.
Jun 2024 SIAM Conference on Nonlinear Waves and Coherent Structures, June 24—27, 2024, in Baltimore, U.S. I am co-organising the minisymposium Steady Water Waves.