Patrick Tolksdorf

Dr. Patrick Tolksdorf is a Researcher at the Karlsruhe Institute of Technology (KIT), affiliated with the Department of Mathematics and specifically with the Workgroup Functional Analysis under the Institute for Analysis. His research focuses on advanced topics in mathematical analysis and partial differential equations, particularly in fluid dynamics and operator theory.

• Research Interests: Partial Differential Equations, Fluid Dynamics, Harmonic Analysis, Functional Analysis
• Recent Work: Regularity theory for Navier-Stokes equations, Stokes operator analysis, Kato square root problems

Academic Activities: He has taught courses such as Numerical Methods and Analysis lectures, and organized workshops on harmonic analysis and fluid flows. He is part of a DFG network titled Maximal Regularity Methods in Mathematical Fluid Mechanics.

Notable Contributions: Published extensively in prestigious journals like Math. Ann. and J. Differential Equations, with a focus on PDEs, Navier-Stokes equations, and operator theory. His 2023 Math. Ann. paper on compressible Navier-Stokes regularity is particularly significant.

Key Collaborations: Worked with researchers including R. Danchin, M. Hieber, and A.F.M. ter Elst. Co-organized the 2025 Workshop on Harmonic Analysis and Fluid Flows with D. Frey.