2020 | | 2019 | | 2018 | | 2017 | | 2016 | | 2015 | | 2014 | | 2013 | | 2012 |
See also the profile on Bath's research portal.
2020 | |
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Authors | ![]() ![]() ![]() |
Title | From Particle Fluctuations to Macroscopic Evolution Equations: The Case of Exclusion Dynamics |
Proceedings | ![]() |
Authors | ![]() ![]() |
Title | Emergence of a nonconstant entropy for a fast-slow Hamiltonian system in its second-order asymptotic expansion |
Status | Submitted |
Preprint | arXiv ![]() |
Author | Johannes Zimmer |
Title | On fluctuations in particle systems and their links to macroscopic models |
Proceedings | Oberwolfach Reports, Workshop Variational Methods for Evolution |
Authors | ![]() |
Title | Well-posedness for a regularised inertial Dean-Kawasaki model for slender particles in several space dimensions |
Journal | ![]() |
Preprint | arXiv ![]() |
2019 | |
Authors | ![]() |
Title | Orthogonality of fluxes in general nonlinear reaction networks |
Journal | ![]() |
Preprint | arXiv ![]() ![]() |
Authors | ![]() ![]() |
Title | A Hamilton-Jacobi PDE associated with hydrodynamic fluctuations from a nonlinear diffusion equation |
Status | Submitted |
Preprint | arXiv ![]() |
2018 | |
Authors | ![]() |
Title | A regularised Dean-Kawasaki model for weakly interacting particles |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | Xiaoguai Li, ![]() ![]() ![]() |
Title | Harnessing fluctuations to discover dissipative evolution equations |
Journal | ![]() |
Code | ![]() |
Preprint | arXiv ![]() |
Movies | Movies for Figures 4 and A1 (journal version; these are Figures 4 and 5 in the arXiv version) |
Authors | Marcus Kaiser, ![]() |
Title | A Variational Structure for Interacting Particle Systems and their Hydrodynamic Scaling Limits |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | ![]() |
Title | A regularised Dean-Kawasaki model: derivation and analysis |
Journal | ![]() |
Preprint | arXiv ![]() |
2017 | |
Author | Johannes Zimmer |
Title | On fluctuations in Markov chains |
Proceedings | Oberwolfach Reports, Workshop Variational Methods for Evolution |
Authors | Hartmut Schwetlick, Daniel Sutton and Johannes Zimmer |
Title | Effective Hamiltonian Dynamics via the Maupertuis Principle |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | ![]() ![]() ![]() |
Title | Computing diffusivities from particle models out of equilibrium |
Journal | ![]() |
Code | ![]() |
Preprint | arXiv ![]() |
Authors | ![]() |
Title | Symmetries and Geometrical Properties of Dynamical Fluctuations in Molecular Dynamics |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | Marcus Kaiser, ![]() |
Title | Canonical structure and orthogonality of forces and currents in irreversible Markov chains |
Journal | ![]() ![]() |
Preprint | arXiv ![]() |
2016 | |
Authors | Marcus Kaiser, ![]() |
Title | Acceleration of convergence to equilibrium in Markov chains by breaking detailed balance |
Journal | ![]() |
Code | ![]() |
Preprint | arXiv ![]() |
Authors | ![]() |
Title | Hydrodynamic limit of condensing two-species zero range processes with sub-critical initial profiles |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | ![]() |
Title | Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | ![]() |
Title | A revisited Johnson-Mehl-Avrami-Kolmogorov Model and the evolution of grain-size distributions in steel |
Journal | ![]() |
Preprint | arXiv ![]() ![]() |
Authors | ![]() ![]() |
Title | Minimising movements for oscillating energies: the critical regime |
Journal | ![]() |
Preprint | arXiv ![]() |
2015 | |
Authors | ![]() |
Title | Entropic and gradient flow formulations for nonlinear diffusion |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | ![]() |
Title | Travelling wavefronts in nonlocal diffusion equations with nonlocal delay effects |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | ![]() |
Title | Travelling waves for a Frenkel-Kontorova chain |
Journal | ![]() |
Preprint | arXiv ![]() |
2014 | |
Author | Johannes Zimmer |
Title | From particles to a conservation law: large deviations for the totally asymmetric exclusion process on the half line |
Proceedings | Oberwolfach Reports, Workshop Variational Methods for Evolution |
Authors | ![]() |
Title | Entropy production and the geometry of dissipative evolution equations |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | Horacio González Duhart, Peter Mörters and Johannes Zimmer |
Title | The semi-infinite asymmetric exclusion process: large deviations via matrix products |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | Hartmut Schwetlick and Johannes Zimmer |
Title | A convergent string method: Existence and approximation for the Hamiltonian boundary-value problem |
Book | Dynamical Systems, Number Theory and Applications: A Festschrift in Honor of Armin Leutbecher's 80th Birthday, 2016 |
Preprint | arXiv ![]() |
Authors | ![]() |
Title | Geometrical interpretation of fluctuating hydrodynamics in diffusive systems |
Journal | ![]() |
Preprint | arXiv ![]() |
2013 | |
Authors | Hartmut Schwetlick, Daniel Sutton and Johannes Zimmer |
Title | On the Gamma-limit for a non-uniformly bounded sequence of two phase metric functionals |
Journal | ![]() |
Preprint | arXiv ![]() |
Author | Johannes Zimmer |
Title | From simple particle models to GENERIC |
Proceedings | Oberwolfach Reports, Mini-Workshop Inelastic and Non-equilibrium Material Behavior: from Atomistic Structure to Macroscopic Constitutive Relations |
2012 | |
Authors | Hong Duong, ![]() |
Title | GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles |
Journal | ![]() |
Opus | Opus link |
Preprint | arXiv ![]() |
Authors | Hartmut Schwetlick, Daniel Sutton and Johannes Zimmer |
Title | The Finsler metric obtained as the limit of a generalised Manhattan metric |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | ![]() |
Title | Stability of travelling wavefronts in discrete reaction-diffusion equations with nonlocal delay effects |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | Hong Duong, ![]() |
Title | Conservative-dissipative approximation schemes for a generalized Kramers equation |
Journal | ![]() |
Preprint | arXiv ![]() |
Authors | ![]() |
Title | Subsonic phase transition waves in bistable lattice models with small spinodal region |
Journal | ![]() |
Opus | Opus link |
Preprint | arXiv ![]() |
Authors | Hartmut Schwetlick and Johannes Zimmer |
Title | The computation of long time Hamiltonian trajectories for molecular systems via global geodesics |
Proceedings | Numerical Mathematics and Advanced Applications 2011 (ENUMATH, Leicester), Springer, 227-234 |
2011 | |
Authors | ![]() ![]() ![]() |
Title | Large deviations and gradient flows |
Journal | ![]() |
Opus | Opus link |
Preprint | arXiv ![]() |
Authors | Amit Das, ![]() |
Title | Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics |
Journal | ![]() |
Authors | ![]() |
Title | Modelling of thin martensitic films with nonpolynomial stored energies |
Book | ![]() |
Authors | Christine R. Venney and Johannes Zimmer |
Title | Travelling lattice waves in a toy model of Lennard-Jones interaction |
Journal | ![]() |
Authors | ![]() |
Title | Upscaling from particle models to entropic gradient flows |
Journal | ![]() |
2010 | |
Authors | ![]() |
Title | On selection criteria for problems with moving inhomogeneities |
Journal | ![]() |
Opus | Opus link |
Preprint | ![]() ![]() |
Authors | Christine R. Venney and Johannes Zimmer |
Title | Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours |
Journal | ![]() |
Opus | Opus link |
Authors | Hartmut Schwetlick, Daniel Sutton and Johannes Zimmer |
Title | Nonexistence of slow heteroclinic travelling waves for a bistable Hamiltonian lattice model |
Journal | ![]() |
Opus | Opus link |
Preprint | ![]() ![]() |
Authors | ![]() |
Title | Rate-independent processes with linear growth energies and time-dependent boundary conditions |
Journal | ![]() |
Opus | Opus link |
Author | Johannes Zimmer |
Title | A variational approach to the Hamiltonian boundary value problem: existence and approximation |
Proceedings | Oberwolfach Reports, Workshop Microstructures in Solids: From Quantum Models to Continua |
Opus | Opus link |
Link | Full text (pdf, ca. 87 kB) |
2009 | |
Authors | ![]() ![]() ![]() |
Title | From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage |
Journal | ![]() |
Opus | Opus link |
Authors | ![]() ![]() |
Title | Mathematical concepts for the micro-mechanical modeling of dislocation dynamics with a phase-field approach |
Journal | ![]() |
Opus | Opus link |
Authors | ![]() ![]() |
Title | Wave solutions for a quasilinear model of Field Dislocation Mechanics |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 12/09 |
Authors | ![]() |
Title | Existence of subsonic heteroclinic waves for the Frenkel-Kontorova model with piecewise quadratic on-site potential |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 8/09 |
Authors | ![]() |
Title | On an extension of the space of bounded deformations |
Journal | ![]() |
Preprint | Bath Institute for Complex Systems, Preprint 5/09 |
Authors | ![]() ![]() |
Title | Three-dimensional model of martensitic transformations with elasto-plastic effects |
Journal | ![]() |
Opus | Opus link |
2008 | |
Authors | ![]() |
Title | A model of shape memory alloys accounting for plasticity |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 20/08 |
Authors | Hartmut Schwetlick and Johannes Zimmer |
Title | Calculation of long time classical trajectories: algorithmic treatment and applications for molecular systems |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 18/08 |
Link | ![]() |
Authors | ![]() ![]() |
Title | Modelling transformation paths of multiphase materials: The triple point of zirconia |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 9/08 |
Link | ![]() |
Author | Johannes Zimmer |
Title | Travelling waves in atomistic chains and kinetic relations |
Proceedings | Oberwolfach Reports, Workshop Atomistic Models of Materials: Mathematical Challenges |
Link | Full text (pdf, ca. 112 kB) |
Opus | Opus link |
Authors | ![]() ![]() |
Title | Gradient Flows in Asymmetric Metric Spaces |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 8/08 |
Link | ![]() |
Authors | Hartmut Schwetlick and Johannes Zimmer |
Title | Kinetic Relations for a Lattice Model of Phase Transitions |
Journal | ![]() |
Authors | ![]() |
Title | Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction |
Journal | ![]() |
Opus | Opus link |
Preprint | ![]() |
Link | ![]() |
Authors | ![]() |
Title | Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 1/08 |
2007 | |
Authors | Hartmut Schwetlick and Johannes Zimmer |
Title | Existence of dynamic phase transitions in a one-dimensional lattice model with piecewise quadratic interaction potential |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 9/09 |
Link | DOI link to Journal version |
Authors | Natalia Babych and Johannes Zimmer |
Title | Asymptotics of resonances in a thermoelastic model with light local mass perturbations |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 13/07 |
Editors | Roger Moser, Peter Mörters, Mathew Penrose, Hartmut Schwetlick and Johannes Zimmer |
Title | Analysis and Stochastics of Growth Processes and Interface Models |
Publisher | Oxford University Press, 2008 |
Opus | Opus link |
Authors | ![]() |
Title | Evolutionary problems in non-reflexive spaces |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 5/07 |
Author | Johannes Zimmer |
Title | Travelling waves in atomic models for phase-transforming materials and kinetic relations |
Proceedings | Oberwolfach Reports, Workshop Phase Transitions |
Link | Full text (pdf, ca. 96 kB) |
Opus | Opus link |
Author | Johannes Zimmer |
Title | Evolutionary problems with energies with linear growth |
Proceedings | Oberwolfach Reports, Workshop Analysis and Numerics for Rate-Independent Processes |
Link | Full text (pdf, ca. 110 kB) |
Opus | Opus link |
Author | Johannes Zimmer |
Title | Discrete dynamic models for phase transitions |
Proceedings | Oberwolfach Reports, Miniworkshop Multiscale and Variational Methods in Material Science and Quantum Theory of Solids |
Link | Full text (pdf, ca. 91 kB) |
Opus | Opus link |
2006 | |
Authors | ![]() |
Title | On Landau theory and symmetric energy landscapes for phase transitions |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 5/06 |
Author | Johannes Zimmer |
Title | Jog my shape memory – dynamics as a challenge in mathematical materials science |
Journal | Phil. Trans. R. Soc. A 364 (2006) 3285-3300 |
Opus | Opus link |
Author | Johannes Zimmer |
Title | Review of ‘Variational and Extremum Principles in Macroscopic Systems’, edited by Stanislaw Sieniutycz and Henrik Farkas |
Journal | ![]() ![]() |
Opus | Opus link |
Link | Full text (pdf, ca. 41 kB) |
2005 | |
Authors | Julia Collins and Johannes Zimmer |
Title | An Asymmetric Arzelà-Ascoli Theorem |
Journal | Topology and its Applications 154 (2007), No. 11, 2312-2322 |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 16/05 |
Authors | ![]() |
Title | Young measure flow as a model for damage |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 11/05 |
Authors | Hartmut Schwetlick and Johannes Zimmer |
Title | Solitary waves for nonconvex FPU lattices |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 12/05 |
2004 | |
Authors | ![]() |
Title | Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices |
Journal | ![]() |
Opus | Opus link |
Preprint | Bath Institute for Complex Systems, Preprint 4/05 |
Authors | ![]() |
Title | Global Existence for Nonconvex Thermoviscoelasticity |
Journal | ![]() |
Opus | Opus link |
Preprint | Max Planck Institute for Mathematics in the Sciences, Preprint 20/2004 |
Links | Abstract (html), Full text (pdf, ca. 150 kB) |
Authors | ![]() ![]() |
Title | Crystal symmetry and the reversibility of martensitic transformations |
Journal | ![]() |
Opus | Opus link |
Links | ![]() |
2003 | |
Authors | Patrick W. Dondl and Johannes Zimmer |
Title | Modeling and simulation of martensitic phase transitions with a triple point |
Journal | Journal of the Mechanics and Physics of Solids 52 (2004), No. 9, 2057-2077 |
Opus | Opus link |
Links | Abstract (html), updated preprint (pdf, ca. 780 kB) |
Preprint | Max Planck Institute for Mathematics in the Sciences, Preprint 95/2003 |
Authors | ![]() ![]() |
Title | Towards the efficient computation of effective properties of microstructured materials |
Journal | Comptes Rendus Mecanique 332 (2004), No. 3, 169-174 |
Opus | Opus link |
Preprint | Max Planck Institute for Mathematics in the Sciences, Preprint 94/2003 |
Author | ![]() |
Title | Algebraic methods for convexity notions in the calculus of variations |
Thesis | Diploma thesis, Munich University of Technology, 2003 |
Links | Full text (pdf, ca. 497 kB) |
Author | Johannes Zimmer |
Title | Global Existence for a Nonlinear System in Thermoviscoelasticity with Nonconvex Energy |
Journal | Journal of Mathematical Analysis and Applications 292 (2004), No. 2, 589-604 |
Opus | Opus link |
Preprint | Max Planck Institute for Mathematics in the Sciences, Preprint 100/2003 |
Author | Johannes Zimmer |
Title | Stored Energy Functions for Phase Transitions in Crystals |
Journal | Archive for Rational Mechanics and Analysis 172 (2004), No. 2, 191-212 |
Opus | Opus link |
Links | Abstract (html), Full text (pdf, ca. 356 kB). © Springer-Verlag (2004). The original publication is available at springerlink.com |
Authors | ![]() |
Title | Periodic Points and Dynamic Rays of Exponential Maps |
Journal | Annales Academiæ Scientiarum Fennicæ 28 (2003), No. 2, 327-354 |
Opus | Opus link |
Links | Abstract (html), Full text (pdf, ca. 315 kB) |
Authors | ![]() |
Title | Escaping Points of Exponential Maps |
Journal | Journal of the London Mathematical Society 67 (2003), No. 2, 380-400 |
Opus | Opus link |
Links | Abstract (html), Full text (pdf, ca. 339 kB) |
Previous | |
Author | Patrick W. Dondl |
Title | Phase Transition in a Material with a Triple Point |
Thesis | Diploma thesis, Munich University of Technology, 2002 |
Links | Full text (pdf, ca. 3.7 MB) |
Author | Johannes Zimmer |
Title | Mathematische Modellierung und Analyse von Formgedächtnislegierungen in mehreren Raumdimensionen (Mathematical Modeling and Analysis of Shape Memory Alloys in Several Space Dimensions) |
Thesis | PhD thesis, Munich University of Technology, 2000 |
Link | Full text (pdf, ca. 683 kB) |
Author | Johannes Zimmer |
Title | Über das Iterationsverhalten von postsingulär endlichen Exponentialabbildungen |
Thesis | Diploma thesis, Munich University of Technology, 1997 |
Links | Full text (ps, ca. 595 kB) |