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 a last-year PhD student at Ulm University. My research is mainly focused on the regularity theory of kinetic partial differential equations. Together with my supervisor Rico Zacher, I have published some articles on the \(L^p \)-theory of linear kinetic PDEs. Currently, we are trying to extend these results and ultimatively apply the findings to study quasilinear kinetic PDE's.
I explain my research interests more detailed in the Research tab.
Feel free to contact me if you have any questions.
News
- December 2022 — 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]
- February 2023 — I gave a talk on kinetic maximal \(L^p \)-regularity at the TULKKA at the KIT in Karlsruhe. [Slides]
- December 2022 — New Preprint on the ArXiv. We use parabolic trajectories to prove Moser's Harnack inequality. [ArXiv]
- December 2022 — New Preprint on the ArXiv. We investigate Poincaré inequalities for kinetic/hypoelliptic equations. [ArXiv]
- November 2022 — I participated in the winter school "Kinetic Theory" at CIRM and presented my work as poster. [Poster]
- October 2022 — I am happy to announce the program for the Mathematical Colloquium Ulm for winter 2022. [Poster]
- September 2022 — Welcome to the summer school "Horizons in non-linear PDEs" at Ulm University. I am going to give a talk and present a poster. I am looking forward to discuss with you. [Slides] [Poster]
- July 2022 — I am going to attend the Conference "When Kinetic Theory meets Fluid Mechanics" in Zürich (Switzerland) and the 2nd IST Austria Summer School in Analysis and PDEs in Klosterneuburg (Austria).
- June 2022 — I am going to attend the Summer school "Methods and Models in Kinetic Theory" in Pesaro (Italy) and the Workshop of the 25th Internet Seminar in Agropoli (Italy). [Poster]
Short Bio
- Since 2019 I am a PhD student at Ulm University under the supervision of Prof. Rico Zacher
- 2014-2019 BSc and Msc in Mathematics at Ulm University, Germany