Patrick Tolksdorf

Office: S2|15 - 312
Phone: +49 6151 16 21490

Email: tolksdorf [at]

Research Interests

Fluid dynamics

Stokes Operator/Semingroup

  • Lp-mapping properties on non-smooth domains
  • Regularity questions on bounded convex domains

Navier-Stokes Equations

  • Solvability theory in Lp-spaces by using maximal regularity or iteration schemes

Elliptic operators in divergence form

Divergence form operators

  • Non-smooth coefficients and domains
  • Mixed boundary conditions
  • Lp-theory of Higher-order operators

Furthermore ...

  • I am really interested of how treat other non-linear equations on non-smooth domains, especially of how to prove the existence of solutions locally in time for data of arbitrary size (in a suitable space) and globally in time for small data for other nonlinear equations on non-smooth domains. The long-term goal is to treat quasilinear equations connected to fluid dynamics on Lipschitz domains.



PhD Thesis

Master Thesis



  • Navier-Stokes-Gleichungen, SoSe 2017

Teaching Assistant

  • Partielle Differentialgleichungen I, WiSe 2013/14, Prof. M. Hieber.

Summer Schools

  • Coordinator of a project at Sommerschule "Faszination Mathematik" 2014.
  • Coordinator of a project at Sommerschule "Faszination Mathematik" 2017.
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