If you made any changes in Pure these will be visible here soon.

Personal profile

Research interests

A central research interest of mine is the development of multi-scale methods for dynamic problems.

In particular, I am interested in the derivation of macroscopic descriptions for processes out of equilibrium. This includes entropy-driven processes, such as the description of diffusive processes as a gradient flow of an entropy, energy-driven processes and processes which combine energetic and entropic effects. One aspect of my work concerns the derivation of such thermodynamic descriptions from micro- or mesoscopic models.

Methodologically, this scale-bridging combines tools from mathematical analysis (partial differential equations, calculus of variations) with probabilistic ones. I enjoy interdisciplinary research with physicists, material scientists and researchers in mechanics.

Fingerprint Dive into the research topics where Johannes Zimmer is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Gradient Flow Mathematics
Phase transitions Engineering & Materials Science
Hydrodynamic Limit Mathematics
Traveling Wave Mathematics
Large Deviation Principle Mathematics
Phase Transition Mathematics
gradients Physics & Astronomy
Lattice Model Mathematics

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Projects 2004 2021

Research Output 2003 2019

23 Downloads (Pure)

A regularised Dean-Kawasaki model: derivation and analysis

Cornalba, F., Shardlow, T. & Zimmer, J., 9 Apr 2019, In : Siam Journal on Mathematical Analysis. 51, 2, p. 1137-1187 51 p.

Research output: Contribution to journalArticle

Open Access
File

From weakly interacting particles to a regularised Dean–Kawasaki model

Cornalba, F., Shardlow, T. & Zimmer, J., 22 Oct 2019, (Accepted/In press) In : Nonlinearity.

Research output: Contribution to journalArticle

Harnessing fluctuations to discover dissipative evolution equations

Li, X., Dirr, N., Embacher, P., Zimmer, J. & Reina, C., 1 Oct 2019, In : Journal of the Mechanics and Physics of Solids. 131, p. 240-251 12 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
3 Downloads (Pure)

Minimizing movements for oscillating energies: The critical regime

Ansini, N., Braides, A. & Zimmer, J., 1 Jun 2019, In : Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 149, 3, p. 719-737 19 p.

Research output: Contribution to journalArticle

Open Access
File

Datasets

Codes for "Computing diffusivities from particle models out of equilibrium"

Zimmer, J. (Creator), Embacher, P. (Creator), Dirr, N. (Creator), Reina, C. (Creator), University of Bath, 11 Apr 2018

Dataset

Code for "Harnessing fluctuations to discover dissipative evolution equations"

Li, X. (Creator), Dirr, N. (Creator), Embacher, P. (Creator), Zimmer, J. (Creator), Reina, C. (Creator), University of Bath, 18 Jun 2019

Dataset

Thesis

Deterministic and Stochastic Homogenization of Mumford-Shah Energies.

Author: Pellet, X., 19 Sep 2019

Supervisor: Scardia, L. (Supervisor) & Zimmer, J. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Entropic Gradient Flows on the Wasserstein Space via Large Deviations from Thermodynamic Limits

Author: Laschos, V., 31 Dec 2013

Supervisor: Zimmer, J. (Supervisor) & Schwetlick, H. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Large Deviations for Boundary Driven Exclusion Processes

Author: Gonzalez Duhart Muñoz De Cote, H., 21 Jul 2015

Supervisor: Morters, P. (Supervisor) & Zimmer, G. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Microscopic Hamiltonian Systems and their Effective Description

Author: Sutton, D., 19 Jul 2013

Supervisor: Zimmer, G. (Supervisor) & Schwetlick, H. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Variational Structures for Dynamical Fluctuations, In and Out of Equilibrium

Author: Kaiser, M., 22 Nov 2018

Supervisor: Zimmer, J. (Supervisor) & Jack, R. (Supervisor)

Student thesis: Doctoral ThesisPhD

File