Lukas Niebel
Postdoctoral researcher
Analysis & PDE
Applied Mathematics Münster
University of Münster
niebel.math@gmail.com
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Welcome to my web page!
I am researcher at University Münster. My research is mainly focused on the regularity theory of kinetic partial differential equations and mathematical fluid dynamics. Together with my PhD supervisor Rico Zacher, I have published several articles on the \(L^p \)-theory of linear kinetic PDEs.
At the University Münster I am a member of the research group of Christian Seis where we will be studying vortex rings in ideal fluids.
Feel free to contact me if you have any questions.
News
- March 2024 — We are hosting the Mathematics Münster Mid-term Conference. I will present my work on "Steady vortex sheets with surface tension" as a poster. Feel free to come by! [Event]
- March 2024 — Together with Pascal Auscher and Cyril Imbert we investigated weak solutions to Kolmogorov-Fokker-Planck equations with rough coefficients. We uploaded two preprints to the HAL/arXiv. One on the weak solutions and one on the construction of fundamental solutions. [weak] [fundamental]
- February 2024 — It was a pleasure meeting many friends at the workshop "Phase mixing, kinetic theory and fluid mechanics" in Les Diableretes. [Event]
- January 2024 — I had a great time at the conference "Kinetic and hydrodynamic PDEs" in Zürich. [Event]
- November 2023 — I am visiting Pascal Auscher at the Laboratoire de Mathématiques d'Orsay, where I will give a talk on Thursday. Feel free to join! [Event] [Slides]
- September 2023 — I visited Tobias Ried at the MPI Leipzig. Thanks for the kind hospitality! [Slides]
- July 2023 — My PhD thesis has been published. It contains some unpublished results on \(L^p\)-estimates for kinetic PDEs and the study of a kinetic toy model as well as the Vlasov-Poisson-Kolmogorov equation. You can download it at the Library of Ulm University. [PhD thesis]
Short Bio
- Since 2023 I am a postdoctoral researcher at University Münster in the group of Prof. Christian Seis.
- 2019 — 2023 PhD student at Ulm University under the supervision of Prof. Rico Zacher.
- 2014 — 2019 BSc and Msc in Mathematics at Ulm University, Germany.