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Mathematical Fluid Mechanics

Prof. Dr. Christian Klingenberg


Prof. Dr. Christian Klingenberg

Holder of the Senior Professorship
Senior Professorship at the Department of Mathematics
Emil-Fischer-Straße 40
97074 Würzburg
Building: 40 (Mathematik Ost)
Room: 03.011
Portrait Christian Klingenberg


  • graduate student: 1978 - 1983, Courant Institute of Mathematical Sciences, New York University
  • masters: 1980, Courant Institute of Mathematical Sciences, New York University
  • PhD: 1983, Courant Institute of Mathematical Sciences, New York University
    • advisor: Cathleen Morawetz (thesis: On hydrodynamic stability of the separation of the boundary layer from an airfoil)


  • postdoc: 1983-85 Courant Institute, with James Glimm
  • “Assistent” to Willi Jäger: 1985 - 1994, Heidelberg University
  • habilitation: 1992, mathematics, Heidelberg University
  • professor: since 1995, University of Würzburg, mathematics department

  • mathematical fluid mechanics
  • compressible gas dynamics, magnetohydrodynamics
  • kinetic modeling, kinetic modeling of mixtures and of plasma, numerics for this
  • theory of hyperbolic conservation laws: well-posedness in one and multiple space dimensions, relaxation limits, discontinuous flux conservation laws
  • modeling macroscopic fluid flow equations via microscopic interacting particle systems
  • numerics for hyperbolic conservation laws: finite volume schemes in one and multiple space dimensions, approximate Riemann solvers, discontinuous Galerkin methods, moving mesh methods
  • well-balanced schemes applied to the Euler equations with gravity
  • astrophysical applications: accretion discs, protostellar jets, turbulence modeling, large eddy simulations, star formation, stellar evolution, galaxy evolution

grants to hire researchers:

  • 1997 - 2001: DFG priority research program “Physik der Sternentstehung”, ~ € 120K, jointly with Hans Zinnecker and Harold York
  • 2005 - 2011: DFG project “A new modeling approach for turbulent astrophysical flows called FEARLESS”. ~ € 350K, jointly with Jens Niemeyer
  • 2005 - 2016: award of a DFG graduate school GRK 1147 at Würzburg University jointly with physics: “Theoretical astrophysics and particle physics”
  • 2013 - 2020: DFG priority research program “Software for Exascale Computing (SPPEXA)”, our project is called (SPPEXA) ~ € 750K,  jointly with Volker Springel, see here
  • 2015 Gauss Centre for Supercomputing, grant with Volker Springel and Lars Hernquist “Predicting galaxy formation in a representative volume of the Universe”: 92,000,000 hours of CPU time on the new supercomputer HORNET in Stuttgart.
  • 2018 - 2020 INdAM Doctoral Programme fellowship in Mathematics and/or Applications Cofunded by Marie Skłodowska-Curie Actions
  • 2018 - 2019 DAAD P.R.I.M.E. (multi-dimensional structure preserving finite volume schemes)
  • 2018 - 2021 Centre National de Recherche, Lebanon (numerical methods for astrophysical applications)
  • 2018 - 2019 Heidelberg Institite for Theoretical Studies Zuwendungsvertrag (Magnetohydrodynamics for stellar evolution)
  • 2019 - 2022: DFG project: “Development and astrophysical application of a well-balanced asymptotic preserving scheme for ideal magnetohydrodynamics with gravity” - € 400K, jointly with Fritz Röpke
  • 2020 Heidelberg Institite for Theoretical Studies Zuwendungsvertrag (Magnetohydrodynamic for stellar evolution)
  • 2020/ Humboldt Foundation grant for a postdoc position (kinetic modeling)
  • 2021 SCIENTIA PhD stipend (struture preserving numerical methods)

grants to pay for exchange visits:

  • 2015 - 2017 Humboldt research group jointly with Yan Xu (USTC, Hefei, China)
  • 2014 - 2015 Bavarian California Technological Center grant with Timothy Barth (NASA Ames, California)
  • 2014 - 2015 Bayerische-Französisches Hochschulzentrum grant with Christophe Barthon (Nantes, France)
  • 2015  Bayerische-Französisches Hochschulzentrum grant with Stephane Olla (Paris, France)
  • 2015 - 2016 DAAD PPP Norway-Germany grant with Nils-Henrik Risebro (Oslo, Norway)
  • 2016 - 2017 DAAD Procope French-Germany grant with Christophe Barthon (Nantes, France)
  • 2016 - 2017 DAAD MUIR Italien-Germany grant with Gabriella Puppo (Como, Italy)
  • 2018 - 2019 DAAD PPP Norway-Germany grant with Nils-Henrik Risebro (Oslo, Norway) (jointly with Johanna Erdmenger)
  • 2018 - 2019 Bayerisches Hochschulzentrum für China with Min Tang (Shanghai, China)
  • 2019   Bayerische Forschungsallianz grant with Cory Hauck (Oak Ridge National Laboratory, USA)
  • 2019 Indian Institute of Manegment, Indore, India travel grant (well-balanced schemes for Euler with gravity)
  • 2019 - 2021 - Chinesisch-Deutsches Zentrum für Wissenschaftsförderung with a consortium of German and Chinese professors working in conservation laws
  • 2020 - 2021  Bayerische-Französisches Hochschulzentrum grant with Christophe Chanlons (Versaille, France)
  • 2020/21 Humboldt Foundation grant withYunguang Lu (China)