Lukas Niebel
Mathematician
Department of Mathematics
ETH Zürich
niebel.math@gmail.com
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Welcome!
I am a mathematician working in analysis and partial differential equations. My research interests include kinetic and hypoelliptic equations, nonlinear diffusion, and free-boundary problems in fluid mechanics. More broadly, I am interested in the interplay between transport, diffusion, geometry, and regularity in nonlinear PDEs describing complex phenomena in nature.
News
- August 2026 — From scrolling YouTube shorts to studying the notes of Leonardo da Vinci. Together with Björn and Christian, we have been investigating air bubbles in water following a spiral path. This phenomenon was already observed by Leonardo da Vinci more than 500 years ago. [Preprint]
- August 2026 — We report on a divergence-form differential operator whose coefficient is \(\frac{1}{2}\)-Hölder continuous in time, but which does not admit maximal \(\mathrm{L}^{2}\)-regularity. This proves that \(\mathrm{C}^{\frac{1}{2}}\) is the sharp threshold for Lions' problem. [Preprint]
Events
- October 2026 — I will give a talk in the UZH–ETH Mathematical Physics Seminar. [Event]
- November 2026 — I'll be in Erlangen to give a talk. [Event]
- January 2027 — I'll be in Vienna for "Dynamics across Scales: Bridging Kinetic Theory and Fluid Mechanics". [Event]
- July 2027 — Time to fly to Singapore for the workshop "Nonlocal Interaction Models". [Event]
Short Bio
- 2026 — present Postdoctoral researcher at ETH Zürich in the group of Mikaela Iacobelli.
- 2023 — 2026 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.
Other profiles
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