Bernhard Kepka
Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
53115 Bonn, Germany
Office: 4.032
Phone: +49 228 73 3177
Email: kepka (at) iam.uni-bonn (dot) de
ORCID: 0000-0002-0737-8378
About Me
Since April 2021, I have been a PhD student under the supervision of Prof. Dr. Juan J. L. Velázquez. Before, I earned my master's degree here in Bonn in 2021 and my bachelor's degree at TU Wien in 2019. Here is my CV.
Research Interests
- Kinetic theory (Boltzmann equation)
- Fluid mechanics (incompressible Euler equations)
Publications & Preprints
[7] (with P. Gladbach) Variational interacting particle systems and Vlasov equations, Preprint: arXiv:2404.04350 (2024)
[6] (with E. Franco, J. J. L. Velázquez) Characterizing the detailed balance property by means of measurements in chemical networks, Preprint: arXiv.2402.12935 (2024)
[5] (with E. Franco, J. J. L. Velázquez) Description of Chemical Systems by means of Response Functions, Preprint: arXiv.2309.02021 (2023)
[4] (with D. Alonso-Orán, J. J. L. Velázquez) Rotating solutions to the incompressible Euler-Poisson equation with external particle, Annales de l’Institut Henri Poincaré C, to appear – DOI: 10.4171/AIHPC/130, Preprint: arXiv.2302.01146 (2023)
[3] (with J. W. Jang, A. Nota, J. J. L. Velázquez) Vanishing Angular Singularity Limit to the Hard-Sphere Boltzmann Equation, J. Stat. Phys. 190, 77 (2023). DOI: 10.1007/s10955-023-03089-4, arXiv:2209.14075
[2] Longtime behavior of homoenergetic solutions in the collision dominated regime for hard potentials, Pure and Applied Analysis 6-2 (2024), 415–454. DOI: 10.2140/paa.2024.6.415, arXiv.2202.09074
[1] Self-similar Profiles for Homoenergetic Solutions of the Boltzmann Equation for Non-cutoff Maxwell Molecules, J. Stat. Phys., 190, 27 (2023). DOI: 10.1007/s10955-022-03034-x, arXiv:2103.10744