Jonas Sauer
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstr. 22
04103 Leipzig
Germany
Contact:
Email
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
Publications
- 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.
Paper
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.
Paper
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.
Paper - 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.
Paper - M. Kyed and J. Sauer, A Method for Obtaining Time-Periodic Lp Estimates, J. Differential Equations, 262(1), 633-652, 2017.
Paper
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.
Paper
Translation to Esperanto - J. Sauer, Weighted Resolvent Estimates for the Spatially Periodic Stokes Equations, Annali dell'Università di Ferrara, 61(2), 333-354, 2015.
Paper - J. Sauer, An Extrapolation Theorem in Non-Euclidean Geometries and Its Application to Partial Differential Equations, J. Elliptic Parabol. Equ., 1, 403-418, 2015.
Paper
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.
Paper
Translation to Esperanto
Teaching
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)
Collaborations
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)
Krupp-Foundation
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.