Jonas Sauer
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstr. 22
04103 Leipzig



Jonas Sauer

Research interests

I have moved to TU Delft. Please visit my personal website or the website of the Analyis group in Delft. This page will not be updated regularly anymore.

  • Singular stochastic partial differential equations
  • Fluid dynamics, in particular Navier-Stokes equations
  • Initial value and time periodic maximal Lp regularity
  • Degenerate parabolic partial differential equations
  • Abstract harmonic analysis


  • C. Raithel and J. Sauer, The Initial Value Problem for Singular SPDEs via Rough Paths, preprint. arXiv 2001.00490.
  • B. Gess, J. Sauer and E. Tadmor, Optimal Regularity in Time and Space for the Porous Medium Equation, Anal. PDE, 13(8), 2441--2480, 2020.
    Translation to Esperanto
  • F. Otto, J. Sauer, S. Smith and H. Weber, Parabolic Equations with Rough Coeffients and Singular Forcing, preprint.
    arXiv 1803.07884.
  • M. Kyed and J. Sauer, On Time-Periodic Solutions to Parabolic Boundary Value Problems, Math. Ann., 374(1), 37-65, 2019.
    Translation to Esperanto
  • Y. Giga, J. Sauer and K. Schade, Strong Stability of 2D Viscoelastic Poiseuille-Type Flows, Adv. Math. Sci. Appl., 27(1), 143-167, 2018.
  • J. Sauer, Instationary Generalized Stokes Equations in Partially Periodic Domains, J. Math. Fluid Mech., 20(2), 289-327, 2018.
  • Y. Maekawa and J. Sauer, Maximal Regularity of the Time-Periodic Stokes Operator on Unbounded and Bounded Domains, J. Math. Soc. Japan, 69(4), 1403-1429, 2017.
  • M. Kyed and J. Sauer, A Method for Obtaining Time-Periodic Lp Estimates, J. Differential Equations, 262(1), 633-652, 2017.
    Translation to Esperanto
  • J. Sauer, Maximal Regularity of the Spatially Periodic Stokes Operator and Application to Nematic Liquid Crystal Flows, Czechoslovak Math. J., 66(1), 41-55, 2016.
    Translation to Esperanto
  • J. Sauer, Weighted Resolvent Estimates for the Spatially Periodic Stokes Equations, Annali dell'Università di Ferrara, 61(2), 333-354, 2015.
  • J. Sauer, An Extrapolation Theorem in Non-Euclidean Geometries and Its Application to Partial Differential Equations, J. Elliptic Parabol. Equ., 1, 403-418, 2015.
    Translation to Esperanto
  • R. Farwig and J. Sauer, Very Weak Solutions of the Stationary Stokes Equations in Unbounded Domains of Half Space Type, Math. Bohem., 140(1), 81-109, 2015.
    Translation to Esperanto


winter term 2020 / 2021 Q2: CSE1200 Calculus (TU Delft)
winter term 2019 / 2020: Stochastische Prozesse (Script [in Esperanto]), Partielle Differentialgleichungen I (MLU Halle-Wittenberg)
winter term 2018 / 2019: Mathematik für Biologen und Biochemiker (Leipzig University)
summer term 2018: Analysis II, Interpolationstheorie (Kassel University)
winter term 2017 / 2018: Fourieranalysis (Leipzig University)
summer term 2017: Interpolation Spaces (MPI MIS)


Research stays:

  • 01/2019: Heinrich-Heine-Universität Düsseldorf, Germany, invited by Prof. Saal
  • 10/2017: Ruprecht-Karls-Universität Heidelberg, Germany, invited by Prof. Knüpfer
  • 05/2017: Acadamy of Science, Prague, Czech Republic, invited by Prof. Nečasová
  • 05/2016: Steklov Institute, St. Petersburg, Russia, invited by Prof. Shilkin
  • 01/2016: Institute of Advanced Scientific Studies (IHÉS), Bures-sur-Yvette, France, invited by Prof. Otto
  • 09/2015: Steklov Institute, St. Petersburg, Russia, invited by Prof. Shilkin
  • 03/2015: Tohoku University, Sendai, Japan, invited by Prof. Maekawa
  • 02/2014: Shinshu University, Matsumoto, Japan, invited by Prof. Taniuchi
  • 09/2013--03/2014: Waseda University, Tokyo, Japan, invited by Prof. Kozono

Curriculum vitae

  • since 09/2020: Assistant professor, TU Delft, Delft, Netherlands
  • 08/2016-08/2020: postdoc position, Max-Planck-Institute for Mathematics in the Sciences, Leipzig, Germany
  • 10/2019-03/2020: Vertretungsprofessor, Martin Luther University Halle-Wittenberg, Germany
  • 04/2018-09/2018: Vertretungsprofessor, Kassel University, Germany
  • 08/2015-07/2016: postdoc position, International Research Training Group "Mathematical Fluid Dynamics", Darmstadt, Germany, and Tokyo, Japan
  • 07/2015: Conferral of doctorate from Technische Universität Darmstadt, Germany
  • 06/2012: Master of Sciences (Mathematics), Technische Universtät Darmstadt, Germany

    see my full CV

Awards and Scholarships

  • 2018 JMSJ Outstanding Paper Prize for
    "Maximal Regularity of the Time-Periodic Stokes Operator on Unbounded and Bounded Domains" (with Y. Maekawa)
    Journal of the Mathematical Society of Japan
  • Best Presentation of the Conference for
    "Navier-Stokes Flow in Infinite Cylinders with Non-Constant Cross Section"
    The 8th Japanese-German International Workshop on Mathematical Fluid Dynamics
  • International Research Training Group 1529 Darmstadt-Tokyo (2012-2015)
    Deutsche Forschungsgemeinschaft
    Japan Society for the Promotion of Science
  • Studienstiftung des Deutschen Volkes (2010-2012)
  • Metropolen in Osteuropa (2009-2010)

Here you can find a short video (in German) from the Leipzig based TV station MDR meant for the broader public, in which I discuss some challenging aspects of the Navier-Stokes equations.

24.09.2022, 01:40