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

Apr 28, 2025 My preprint Rigidity of symmetric doubly-periodic water waves near shear flows with D. S. Seth, K. Varholm and E. Wahlén is now available.
Feb 25, 2025 My preprint An improved upper bound for the Froude number of irrotational solitary water waves with E. Lokharu is now available.
Jan 01, 2025 I have started my FWF ESPRIT grant Overhanging water waves: new challenges and perspectives.
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.

activities

Jun 2025 Workshop Modelling of fluid propagation: mathematical theory and numerical approximation, June 16—19, 2025, at International Centre for Mathematical meetings (CIEM), Castro Urdiales, Spain.
May 2025 Workshop Mathematical Advances in Geophysical Fluid Dynamics, May 11—16, 2025, at Oberwolfach Research Institute for Mathematics, Germany.
Apr 2025 The Thirteenth International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, April 14—16, 2025, in Athens, U.S.
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.