Christian Klingenberg
research interests:
Mathematical Fluid Mechanics
theory of hyperbolic conservation laws
• towards a proper solution concept for the multi-dim. compressible Euler equations
• convex integration, non-uniqueness for the multi-dim. compressible Euler equations
structure preserving numerical schemes for Euler and ideal magnetohydrodynamics
• well-balanced and low Mach schemes for Euler equations with gravity
• genuinely multi-dim. schemes, the Active Flux method
• structure-preserving compact high-order method method
applications in astrophysics
• numerical schemes for evolving stellar structure and evolution
• simulations of the evolution of the universe including magnetic fields
kinetic equations and plasma, theory & numerics
• multi-species models, existence and qualitative behavior
• numerical schemes for multi-species BGK equations based on a variational procedure
• dynamical low rank numerical algorithm for kinetic equations
PDE inverse problems, kinetic models in biology with coefficients determined by experimental data
• theory: proving that it is possible to solve certain kinetic PDE inverse problems
• numerics: schemes that determine the coefficients from given experimental data
Our logo, showing the interplay between astrophysics (Cassiopeia) and fluid mechanics.
designed together with Sebastian Ohlmann
former workshops, conferences etc.:
- Seminar series from Sept. 2020 - May 2022 Hyperbolic equations: Structure preserving numerical methods and other topics, see here
- Oberwolfach workshop "Structure preserving numerical methods for hyperbolic equations", April 11 - 15, 2022 see here
- Oberwolfach workshop "Modelling phenomena from nature by hyperbolci conservation laws", April 11, 17, 2021 see here
- Fall school Oct. 1 - 5, 2018 in Würzburg: Hyperbolic conservation laws and mathematics of fluid mechanics, with lectures by Constantine Dafermos, Eduard Feireisl, Sara Daneri and Simon Markfelder
- 16th International Conference on Hyperbolic Problems, organized by M. Westdickenberg and myself Aug. 1 - 5, 2016.
- Workshop in Würzburg, June 30 - July 3, 2015, “Evolutionary Equations, theory & numerics”, see here
Dept. of Mathematics
Würzburg University
Emil Fischer Str. 40
97074 Würzburg
Germany
I am in room 03.011 (top floor)
phone: (0049) (0)931 318 5045
email: christian.klingenberg (at) uni-wuerzburg.de
upcoming visitors:
- Lukas Einkemmer (Innsbruck, Astria), Jan. 12 - 15, 2025
- Michael Dumbser (Trento, Itay), one week in spring
- Mengni Li (Nanjing, China), Apr. 27 - May 17, 2025
- Praveen Chandrashekar (Bangalore, India), May. 15 - June 7, 2025
- Jan Nordström (Linköping, Sweden), May 25 - June 7, 2025
