Lukas Niebel
PhD student
Institute of Applied Analysis
Faculty for Mathematics and Economics
Ulm University
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. Currently, we are trying to apply the findings to study quasilinear 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.
I explain my research interests more detailed in the Research tab.
Feel free to contact me if you have any questions.
News
- September 2023 — I visited Tobias Ried at the MPI Leipzig. Thanks for the kind hospitality!
- July 2023 — My PhD thesis has finally 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 It contains some unpublished results on \(L^p\)-estimates for kinetic PDEs and the study of a kinetic toy model as well as the Vlasov-Poisson-Kolmogorov equation.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]
- July 2023 — It was a pleasure to meet so many of you during the ''Stability and dynamics in fluid mechanics and kinetic theory'' at the ICL. [Summer School]
- June 2023 — I will give a talk in Marseille during the conference ''Real Analysis and Geometry''. Looking forward to meet you there. [Conference] [Slides]
- June 2023 — I have finally defended my PhD thesis. [Slides]
- May 2023 — We uploaded a new version of our preprint on kinetic Poincaré inequalities, where we added more explanations and references. Comments are welcome! [ArXiv]
- April 2023 — I am starting as postdoctoral researcher at the Univerity Münster in the group of Christian Seis. I will introduce myself in the Wilhelm Killing colloquium on 13.4 at 2:15 pm. [Slides]
- March 2023 — I am visiting Nicola De Nitti in Erlangen from 14.3 till 17.3. I will give a talk on "Parabolic trajectories and the Harnack inequality" on Wednesday. You are invited to join! [Event] [Slides]
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.