Johannes Zimmer

Prof. Johannes Zimmer is Chair of Analysis and Modelling at the Department of Mathematics, School of Computation, Information and Technology at the Technical University of Munich (TUM). His research focuses on mathematical modeling and analysis of complex systems, with particular expertise in differential equations, variational problems, stochastic models, and nonequilibrium dynamics.

His primary research interests include:

• Mathematical Modelling of physical systems
• Applied Analysis of differential equations and variational problems
• Stochastic models and scale-bridging techniques
• Nonequilibrium problems in statistical mechanics
• Hydrodynamic limits and fluctuations in particle systems

Prof. Zimmer's recent work demonstrates a strong focus on connecting microscopic particle systems to macroscopic evolution equations, with applications in statistical physics, thermodynamics, and multiscale modeling. His research often combines rigorous mathematical analysis with physical insights from nonequilibrium statistical mechanics. A notable trend in his recent publications is the development of frameworks that bridge Hamiltonian dynamics with dissipative structures, as well as the application of machine learning techniques to coarse-graining problems in statistical physics.

Among his scientific contributions are advancements in understanding:

• GENERIC formalism for non-equilibrium thermodynamics
• Dean-Kawasaki models for density fluctuations
• Fast-slow Hamiltonian systems and their thermodynamic interpretation
• Statistical-physics-informed neural networks

Prof. Zimmer actively supervises students and collaborates with researchers across disciplines, including physicists, applied mathematicians, and computational scientists. His work often involves international collaborations with institutions in Europe and beyond. He teaches advanced mathematics courses at TUM, including Higher Mathematics for Mechanical and Chemical Engineering students, and leads seminars on mathematical modeling and nonequilibrium systems.