Prof. Dr. Johannes Zimmer

Zentrum Mathematik - M6
Boltzmannstraße 3
85748 Garching Room: 03.04.054
Phone: +49 (89) 289 16806
eMail: jz

Research interests
- Mathematical Modelling
- Applied Analysis: differential equations, variational problems
- Stochastic models and scale-bridging
- Nonequilibrium problems
Publications
2021
- D.R. Michiel Renger, Johannes Zimmer
Orthogonality of fluxes in general nonlinear reaction networks
Discrete and Continuous Dynamical Systems. Series S 14 (205-217) - Federico Cornalba, Tony Shardlow, Johannes Zimmer
Well-posedness for a regularised inertial Dean-Kawasaki model for slender particles in several space dimensions
Journal of Differential Equations 284 (253-283) - Matthias Klar, Karsten Matthies, Celia Reina, Johannes Zimmer
Second-order fast-slow dynamics of non-ergodic Hamiltonian systems: Thermodynamic interpretation and simulation
Physica D, to appear. Preprint arXiv 2103.05778 - Jin Feng, Toshio Mikami, Johannes Zimmer
A Hamilton-Jacobi PDE Associated with Hydrodynamic Fluctuations from a Nonlinear Diffusion Equation
Comm. Math. Phys. 385 (1-54)
2020
- Shenglin Huang, Santiago Aguado-Montero, Nicolas Dirr, Johannes Zimmer, Celia Reina
From particle fluctuations to macroscopic evolution equations: The case of exclusion dynamics
Mathematical Modeling and Scientific Computing: Focus on Complex Processes and Systems 2020, Vol 2873 (140-152) - Cornalba Federico, Tony Shardlow, Johannes Zimmer
From weakly interacting particles to a regularised Dean-Kawasaki model
Nonlinearity 33 (864-891) - Matthias Klar, Karsten Matthies, Johannes Zimmer
Emergence of a nonconstant entropy for a fast-slow Hamiltonian system in its second-order asymptotic expansion
Preprint arXiv 2010.10971 - Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer
Effective Hamiltonian dynamics via the Maupertuis principle
Discrete and Continuous Dynamical Systems. Series S 13 (1395-1410)

Teaching
Lecture notes (in German):Summer Term 2022
- Analysis 2
- Seminar Operator Theoretic Aspects of Ergodic Theory
Winter Term 2021/2022
- Analysis 1
- MSc Seminar Infinite-Dimensional Analysis
Summer Term 2021
Winter Term 2020/2021
Lectures from earlier years can be found on my teaching page in Bath