Items by Zimmer, Johannes

2013

Das, A., Acharya, A., Zimmer, J. and Matthies, K., 2013. Forthcoming. Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics. Mathematics and Mechanics of Solids

2012

Schwetlick, H. and Zimmer, J., 2012. Kinetic relations for a lattice model of phase transitions. Archive for Rational Mechanics and Analysis, 206 (2), pp. 707-724.

Kruzik, M. and Zimmer, J., 2012. Rate-independent processes with linear growth energies and time-dependent boundary conditions. Discrete and Continuous Dynamical Systems Series S, 5 (3), pp. 591-604.

Herrmann, M., Schwetlick, H. and Zimmer, J., 2012. On selection criteria for problems with moving inhomogeneities. Continuum Mechanics and Thermodynamics, 24 (1), pp. 21-36.

Schwetlick, H., Sutton, D. C. and Zimmer, J., 2012. Forthcoming. Nonexistence of slow heteroclinic travelling waves for a bistable Hamiltonian lattice model. Journal of Nonlinear Science

Dirr, N., Laschos, V. and Zimmer, J., 2012. Upscaling from particle models to entropic gradient flows. Journal of Mathematical Physics, 53 (6), 063704.

2011

Venney, C. and Zimmer, J., 2011. Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours. Dynamical Systems: An International Journal, 26 (4), pp. 503-518.

Adams, S., Dirr, N., Peletier, M. and Zimmer, J., 2011. From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage. Communications in Mathematical Physics, 307 (3), pp. 791-815.

Kreiner, C. F. and Zimmer, J., 2011. Existence of subsonic heteroclinic waves for the Frenkel-Kontorova model with piecewise quadratic on-site potential. Nonlinearity, 24 (4), pp. 1137-1163.

Kruizik, M. and Zimmer, J., 2011. A model of shape memory alloys taking into account plasticity. IMA Journal of Applied Mathematics, 76 (1), pp. 193-216.

Kundin, J., Emmerich, H. and Zimmer, J., 2011. Mathematical concepts for the micromechanical modelling of dislocation dynamics with a phase-field approach. Philosophical Magazine, 91 (1), pp. 97-121.

2010

Acharya, A., Matthies, K. and Zimmer, J., 2010. Travelling wave solutions for a quasilinear model of field dislocation mechanics. Journal of the Mechanics and Physics of Solids, 58 (12), pp. 2043-2053.

Kundin, J., Emmerich, H. and Zimmer, J., 2010. Three-dimensional model of martensitic transformations with elasto-plastic effects. Philosophical Magazine, 90 (11), pp. 1495-1510.

Zimmer, J. and Schwetlick, H., 2010. A variational approach to the Hamiltonian boundary value problem: existence and approximation. Oberwolfach Reports, 7 (1), pp. 792-794.

Kruzik, M. and Zimmer, J., 2010. Evolutionary problems in non-reflexive spaces. Esaim-Control Optimisation and Calculus of Variations, 16 (1), pp. 1-22.

2009

Kreiner, C. F. and Zimmer, J., 2009. Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction. Discrete and Continuous Dynamical Systems, 25 (3), pp. 915-931.

Babych, N. and Zimmer, J., 2009. Asymptotics of resonances in a thermoelastic model with light local mass perturbations. Quarterly of Applied Mathematics, 67 (2), pp. 311-326.

Schwetlick, H. and Zimmer, J., 2009. Calculation of long time classical trajectories: algorithmic treatment and applications for molecular systems. Journal of Chemical Physics, 130 (12), 124106.

Dondl, P. W., Hormann, K. and Zimmer, J., 2009. Modeling transformation paths of multiphase materials: The triple point of zirconia. Physical Review B, 79 (10), 104114.

Rieger, M. O. and Zimmer, J., 2009. Young measure flow as a model for damage. Zeitschrift für Angewandte Mathematik und Physik, 60 (1), pp. 1-32.

Schwetlick, H. and Zimmer, J., 2009. Existence of dynamic phase transitions in a one-dimensional lattice model with piecewise quadratic interaction potential. SIAM Journal on Mathematical Analysis (SIMA), 41 (3), pp. 1231-1271.

Chenchiah, I. V., Rieger, M. O. and Zimmer, J., 2009. Gradient flows in asymmetric metric spaces. Nonlinear Analysis: Theory Methods & Applications, 71 (11), pp. 5820-5834.

Kruzik, M. and Zimmer, J., 2009. On an extension of the space of bounded deformations. Zeitschrift für Analysis und ihre Anwendungen, 31 (1), pp. 75-91.

Kreiner, C. F. and Zimmer, J., 2009. Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction. Nonlinear Analysis: Theory Methods & Applications, 70 (9), pp. 3146-3158.

2008

Morters, P., Moser, R., Penrose, M., Schwetlick, H. and Zimmer, J., eds., 2008. Analysis and Stochastics of Growth Processes and Interface Models. Oxford University Press.

Zimmer, J., 2008. Travelling waves in atomistic chains and kinetic relations. Oberwolfach Reports, 5 (2).

2007

Collins, J. and Zimmer, J., 2007. An asymmetric Arzela-Ascoli theorem. Topology and Its Applications, 154 (11), pp. 2312-2322.

Zimmer, J. and Schwetlick, H., 2007. Discrete dynamic models for phase transitions. Oberwolfach Reports

Zimmer, J. and Kruzik, M., 2007. Evolutionary problems with energies with linear growth. Oberwolfach Reports

Hormann, K. and Zimmer, J., 2007. On Landau theory and symmetric energy landscapes for phase transitions. Journal of the Mechanics and Physics of Solids, 55 (7), pp. 1385-1409.

Schwetlick, H. and Zimmer, J., 2007. Solitary waves for nonconvex FPU lattices. Journal of Nonlinear Science, 17 (1), pp. 1-12.

Zimmer, J. and Schwetlick, H., 2007. Travelling waves in atomic models for phase-transforming materials and kinetic relations. Oberwolfach Reports

2006

Zimmer, J., 2006. Jog my shape memory: dynamics as a challenge in mathematical materials science. Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences, 364 (1849), pp. 3285-3300.

Zimmer, J., 2006. Review of 'Variational and Extremum Principles in Macroscopic Systems'. Journal of Physics A: Mathematical and General, 39 (14), p. 3851.

Kreiner, C. F. and Zimmer, J., 2006. Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices. Esaim-Control Optimisation and Calculus of Variations, 12 (2), pp. 253-270.

2005

Rieger, M. O. and Zimmer, J., 2005. Global existence for nonconvex thermoelasticity. Advances in Mathematical Sciences and Applications, 15, p. 559.

2004

Bhattacharya, K., Conti, S., Zanzotto, G. and Zimmer, J., 2004. Crystal symmetry and the reversibility of martensitic transformations. Nature, 428 (6978), pp. 55-59.

Zimmer, J., 2004. Global existence for a nonlinear system in thermoviscoelasticity with nonconvex energy. Journal of Mathematical Analysis and Applications, 292 (2), pp. 589-604.

Dondl, P. W. and Zimmer, J., 2004. Modeling and simulation of martensitic phase transitions with a triple point. Journal of the Mechanics and Physics of Solids, 52 (9), pp. 2057-2077.

Zimmer, J., 2004. Stored energy functions for phase transitions in crystals. Archive for Rational Mechanics and Analysis, 172 (2), pp. 191-212.

Kreiner, C. F., Zimmer, J. and Chenchiah, I. V., 2004. Towards the efficient computation of effective properties of microstructured materials. Comptes Rendus Mecanique, 332 (3), pp. 169-174.

2003

Schleicher, D. and Zimmer, J., 2003. Escaping points of exponential maps. Journal of the London Mathematical Society, 67 (2), pp. 380-400.

Schleicher, D. and Zimmer, J., 2003. Periodic points and dynamic rays of exponential maps. Annales Academiae Scientiarum Fennicae-Mathematica, 28 (2), pp. 327-354.