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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.

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Projects

Research Output

Effective Hamiltonian Dynamics via the Maupertuis Principle

Schwetlick, H., Sutton, D. & Zimmer, J., 1 Apr 2020, In : Discrete and Continuous Dynamical Systems Series S. 13, 4, p. 1395-1410

Research output: Contribution to journalArticle

Open Access

From weakly interacting particles to a regularised Dean–Kawasaki model

Cornalba, F., Shardlow, T. & Zimmer, J., 10 Jan 2020, In : Nonlinearity. 33, 2, p. 864-891 28 p.

Research output: Contribution to journalArticle

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
3 Citations (Scopus)
35 Downloads (Pure)

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

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
1 Citation (Scopus)
10 Downloads (Pure)

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

Modelling, regularisation, and analysis of Dean–Kawasaki type equations

Author: Cornalba, F., 30 Oct 2019

Supervisor: Shardlow, T. (Supervisor) & Zimmer, J. (Supervisor)

Student thesis: Doctoral ThesisPhD

File