Lukas Niebel

Postdoctoral researcher
Mathematics Münster
University of Münster
niebel.math@gmail.com

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

May 2026 — I uploaded a revised version of my work on global rigidity of two dimensional bubbles where I do now prove the theorems in their sharp range \( 0 \le \mathrm{We} \le 3 \). [Preprint]
May 2026 — I explain how to use kinetic trajectories to prove transfer of regularity à la Bouchut-Hörmander in a short note. [Preprint]
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]

Meet me here

July 2026 — I will be at the "Regularity theory for evolution equations" workshop in Les Diableretes. [Event]
August 2026 — I'm going to give a talk during the Workshop on Nonlinear PDEs, Harmonic Analysis and FBPs in Stockholm. [Event]

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.