Lukas Niebel
Postdoctoral researcher
Analysis & PDE
Applied Mathematics Münster
University of Münster
niebel.math@gmail.com
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Welcome!
I am postdoctoral researcher at the University Münster. I am a member of the research group of Christian Seis
where we will be studying surface tension effects in ideal fluids. Moreover, I work on the regularity theory of kinetic partial differential equations, including the \( L^p \) theory of weak and strong solutions and the De Giorgi–Nash–Moser theory,
with the goal of unraveling the secrets of the underlying kinetic geometry.
News
- 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]
- October 2025 — The work with Christian and David on bubbles and drops has been published in Calculus of Variations and Partial Differential Equations. [Article]
- August 2025 — New Preprint on the arXiv. Together with Clément, Helge and Rico we study critical kinetic trajectories. As applications we transfer the Moser-Bombieri-Giusti approach to the kinetic setting to obtain optimal Harnack inequalities and give an elementary proof of the kinetic Sobolev inequality. [Preprint]
- July 2025 — The article on trajectories and Moser's proof of the Harnack inequality, co-authored with Rico, has been published in the Annali Scuola Normale Superiore Di Pisa. [Article]
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.