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.

Research Interests

• Kinetic theory (Boltzmann euqation)
• 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, 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, to appear -- arXiv.2202.09074 (2022)

[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