Lukas Niebel
Postdoctoral researcher
Mathematics Münster
University of Münster
niebel.math@gmail.com
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Welcome!
I am a postdoctoral researcher at the University of Münster, working in the research group of Christian Seis. I study free‑boundary problems for ideal fluids with surface tension. In parallel, I work on the regularity theory for kinetic partial differential equations with the goal of unraveling the secrets of the underlying kinetic geometry.
News
- April 2026 — New preprint! I prove rigidity of the spherical solution for an overdetermined free boundary value problem where the Neumann data is prescribed in terms of the mean curvature of the boundary. [Preprint]
- March 2026 — Pascal Auscher and I study kinetic Sobolev spaces in a new preprint. We prove for the first time \(\operatorname{L}^p \) estimates for weak solutions to the Kolmogorov equation. [Preprint]
- October 2025 — Together with Helge we apply the ideas of Nash and Fabes-Stroock to kinetic equations via critical kinetic trajectories. [Preprint]
- October 2025 — In a new preprint I prove global rigidty of two dimensional bubbles (solutions to free boundary Euler with surface tension) for small Weber numbers. [Preprint]
Meet me here
- July 2026 — I'm participating in the "Regularity theory for evolution equations" workshop in Les Diableretes. [Event]
- April/May 2026 — I will be travelling to the US with visits at Iowa State University, Tulane University and the University of Chicago.
Short Bio
- 2023 — present Postdoctoral researcher at the University of Münster in the group of Christian Seis.
- 2019 — 2023 PhD student at Ulm University under the supervision of Rico Zacher.
- 2014 — 2019 BSc and Msc in Mathematics at Ulm University, Germany.