Vita
I am a PostDoc at the Institute of Mathematics at the University of Zürich under the supervision of Prof. Klaus Widmayer.
I earned my PhD under the supervision of Prof. Juan J. L. Velázquez at the Unversity of Bonn in 2024.
Here is my CV.
Dr. Bernhard Kepka
Institut für Mathematik
Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich
E-Mail:
Büro: Y27J40
Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich
E-Mail:
Büro: Y27J40
Arbeitsgruppe:
Forschung
Research Interests
- Kinetic theory (Boltzmann equation)
- Fluid mechanics (incompressible Euler equations)
Preprints
(with E. Franco, J. J. L. Velázquez) Characterizing the detailed balance property by means of measurements in chemical networks, Preprint: arXiv.2402.12935 (2024)
Publications
[6] (with P. Gladbach) Variational interacting particle systems and Vlasov equations, Communications in Partial Differential Equations, 1-36 (2025). DOI: 10.1080/03605302.2025.2460098, arXiv:2404.04350
[5] (with E. Franco, J. J. L. Velázquez) Description of Chemical Systems by means of Response Functions, J. Math. Bio. 90, 31 (2025). DOI: 10.1007/s00285-025-02191-3, arXiv.2309.02021
[4] (with D. Alonso-Orán, J. J. L. Velázquez) Rotating solutions to the incompressible Euler-Poisson equation with external particle, Ann. Inst. H. Poincaré Anal. Non Linéaire 42 (2025), no. 1, pp. 85-123. DOI: 10.4171/AIHPC/130, arXiv.2302.01146
[3] 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
[2] (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
[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