Selected Publications
| 2012 | | 2011 | | 2010 | | 2009 | | 2008 | | 2007 | | 2006 | | 2005 | | 2004 | | 2003 | | Previous |
See also the Opus directory with links to the printed version publications.
| 2012 | |
|---|---|
| Authors | Hartmut Schwetlick and Johannes Zimmer |
| Title | The computation of long time Hamiltonian trajectories for molecular systems via global geodesics |
| Status | Submitted |
| 2011 | |
| Authors |  Stefan Adams, Nicolas Dirr,
Mark Peletier
and Johannes Zimmer
|
| Title | Large deviations and gradient flows |
| Status | Submitted |
| Preprint | arXiv 1201.4601
|
| Authors | Amit Das,
Amt Acharya,
Karsten Matthies and Johannes Zimmer
|
| Title | Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics |
| Status | Submitted |
| Authors | Martin
Kružík and Johannes Zimmer
|
| Title | On stored energies depending on the inverse of the strain, and applications to thin martensitic films |
| Status | Submitted |
| Authors | Christine R. Venney and Johannes Zimmer |
| Title | Travelling lattice waves in a toy model of Lennard-Jones interaction |
| Journal | Quarterly
of Applied Mathematics, to appear
|
| Authors | Hartmut
Schwetlick, Daniel
Sutton and Johannes Zimmer
|
| Title | Effective Hamiltonians via the Maupertuis principle |
| Status | Submitted |
| Authors | Nicolas Dirr, Vaios Laschos and Johannes Zimmer
|
| Title | Upscaling from particle models to entropic gradient flows |
| Status | Submitted |
| 2010 | |
| Authors | Michael Herrmann, Hartmut
Schwetlick and Johannes Zimmer
|
| Title | On selection criteria for problems with moving inhomogeneities |
| Journal | Continuum Mechanics and Thermodynamics 24 (2012), No. 1, 21-36
|
| Opus | Opus link |
| Preprint | Oxford Centre for Nonlinear PDE, Preprint 10/26
|
| 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 | Dynamical Systems 26 (2011), No. 4, 503-518
|
| Opus | Opus link |
| Authors | Hartmut
Schwetlick, Daniel
Sutton and Johannes Zimmer
|
| Title | Nonexistence of slow heteroclinic travelling waves for a bistable Hamiltonian lattice model |
| Status | Submitted |
| Preprint | Network Mathematical Challenges of Molecular Dynamics: A Mathematical-Chemical Forum, Preprint pdf
|
| Authors | Martin
Kružík and Johannes Zimmer
|
| Title | Rate-independent processes with linear growth energies and time-dependent boundary conditions |
| Journal | Discrete
and Continuous Dynamical Systems - Series S
5 (2012), No. 3, 591-604
|
| 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 | Stefan Adams, Nicolas Dirr,
Mark Peletier
and Johannes Zimmer
|
| Title | From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage |
| Journal | Communications in Mathematical Physics
307 (2011), No. 3, 791-815
|
| Opus | Opus link |
| Authors | Julia Kundin,
Heike Emmerich
and Johannes Zimmer
|
| Title | Mathematical concepts for the micro-mechanical modeling of dislocation dynamics with a phase-field approach |
| Journal | Philosophical
Magazine 91 (2011), No. 1, 97-121
|
| Opus | Opus link |
| Authors |
Amt Acharya,
Karsten Matthies and Johannes Zimmer
|
| Title | Wave solutions for a quasilinear model of Field Dislocation Mechanics |
| Journal | Journal
of the Mechanics and Physics of Solids 58 (2010),
No. 12, 2043-2053
|
| Opus | Opus link |
| Preprint | Bath Institute for Complex Systems, Preprint 12/09 |
| Authors |
Carl-Friedrich Kreiner and Johannes Zimmer
|
| Title | Existence of subsonic heteroclinic waves for the Frenkel-Kontorova model with piecewise quadratic on-site potential |
| Journal | Nonlinearity
24 (2011), No. 4, 1137-1163
|
| Opus | Opus link |
| Preprint | Bath Institute for Complex Systems, Preprint 8/09 |
| Authors | Martin
Kružík and Johannes Zimmer
|
| Title | On an extension of the space of bounded deformations |
| Journal | Zeitschrift für Analysis und ihre Anwendungen 31 (2012), No. 1, 75-91
|
| Preprint | Bath Institute for Complex Systems, Preprint 5/09 |
| Authors | Julia Kundin,
Heike Emmerich
and Johannes Zimmer
|
| Title | Three-dimensional model of martensitic transformations with elasto-plastic effects |
| Journal | Philosophical
Magazine
90 (2010), No. 11, 1495-1510
|
| Opus | Opus link |
| 2008 | |
| Authors | Martin
Kružík and Johannes Zimmer
|
| Title | A model of shape memory alloys accounting for plasticity |
| Journal | IMA
Journal of Applied Mathematics
76 (2011), No. 1, 193-216
|
| 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 | The Journal of Chemical
Physics 130 (2009), No. 12, 124106
|
| Opus | Opus link |
| Preprint | Bath Institute for Complex Systems, Preprint 18/08 |
| Link |
Journal link
|
| Authors | Patrick
Dondl, Kai
Hormann and Johannes Zimmer
|
| Title | Modelling transformation paths of multiphase materials: The triple point of zirconia |
| Journal | Physical Review B
79 (2009), No. 10, 104114
|
| Opus | Opus link |
| Preprint | Bath Institute for Complex Systems, Preprint 9/08 |
| Link |
Journal 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 | Isaac
Vikram Chenchiah, Marc
Oliver Rieger and Johannes Zimmer
|
| Title | Gradient Flows in Asymmetric Metric Spaces |
| Journal | Nonlinear
Analysis, Theory, Methods & Applications
71 (2009), No. 11, 5820-5834
|
| Opus | Opus link |
| Preprint | Bath Institute for Complex Systems, Preprint 8/08 |
| Link | Journal link |
| Authors | Hartmut Schwetlick and Johannes Zimmer |
| Title | Kinetic Relations for a Lattice Model of Phase Transitions |
| Status | Revision submitted to Arch. Rat. Mech. Anal. |
| Authors |
Carl-Friedrich Kreiner and Johannes Zimmer
|
| Title | Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction |
| Journal | Nonlinear
Analysis, Theory, Methods & Applications
70 (2009), No. 9, 3146-3158
|
| Opus | Opus link |
| Preprint | Bath
Institute for Complex Systems, Preprint 3/08
|
| Link | Journal link |
| Authors |
Carl-Friedrich Kreiner and Johannes Zimmer
|
| Title | Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction |
| Journal | Discrete
and Continuous Dynamical Systems - Series A,
25 (2009), No. 3, 915-931
|
| 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 | SIAM
Journal on Mathematical Analysis
41 (2009), No. 3, 1231-1271
|
| 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 | Quarterly
of Applied Mathematics,
67 (2009), No. 2, 311-326
|
| 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 | Martin
Kružík and Johannes Zimmer
|
| Title | Evolutionary problems in non-reflexive spaces |
| Journal | ESAIM Control, Optimisation and
Calculus of Variations, 16 (2010), 1-22
|
| 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 | Kai
Hormann and Johannes Zimmer
|
| Title | On Landau theory and symmetric energy landscapes for phase transitions |
| Journal | Journal
of the Mechanics and Physics of Solids 55
(2007), No. 7, 1385-1409
|
| 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 | Journal of Physics A:
Mathematical and General 39 (2006), 3849-3852 |
| 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 | Marc
Oliver Rieger and Johannes Zimmer
|
| Title | Young measure flow as a model for damage |
| Journal | Zeitschrift
für Angewandte Mathematik und Physik (ZAMP)
60 (2009), No. 1, 1-32
|
| 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 | Journal of Nonlinear Science 17 (2007), No. 1, 1-12 |
| Opus | Opus link |
| Preprint | Bath Institute for Complex Systems, Preprint 12/05 |
| 2004 | |
| Authors |
Carl-Friedrich Kreiner and Johannes Zimmer |
| Title | Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices |
| Journal | ESAIM Control, Optimisation and
Calculus of Variations 12 (2006), No. 2, 253-270 |
| Opus | Opus link |
| Preprint | Bath Institute for Complex Systems, Preprint 4/05 |
| Authors | Marc Oliver
Rieger and Johannes Zimmer
|
| Title | Global Existence for Nonconvex Thermoviscoelasticity |
| Journal | Advances in
Mathematical Sciences and Applications
15 (2005), No. 2, 559-569 |
| 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 | Kaushik
Bhattacharya, Sergio
Conti, Giovanni Zanzotto and Johannes Zimmer
|
| Title | Crystal symmetry and the reversibility of martensitic transformations |
| Journal | Nature 428 (2004),
No. 6978, 55-59 |
| Opus | Opus link |
| Links | First
paragraph (html),
Full text
(pdf, ca. 314 kB),
|
| 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 |
Carl-Friedrich Kreiner, Johannes Zimmer and
Isaac
Vikram Chenchiah |
| 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 |
Carl-Friedrich Kreiner |
| 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 | Dierk
Schleicher and Johannes Zimmer
|
| 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 | Dierk
Schleicher and Johannes Zimmer
|
| 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) |
