A Convergent String Method: Existence and Approximation for the Hamiltonian Boundary-Value Problem

A model of shape memory alloys taking into account plasticity

article by M. Kruzik & Johannes Zimmer published 16 December 2010 in IMA Journal of Applied Mathematics

An asymmetric Arzelà–Ascoli theorem

Asymptotics of resonances in a thermoelastic model with light local mass perturbations

Atomistic Models of Materials: Mathematical Challenges

Calculation of long time classical trajectories: algorithmic treatment and applications for molecular systems

scientific article published in March 2009

Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics

Canonical Structure and Orthogonality of Forces and Currents in Irreversible Markov Chains.

scientific article published on 15 February 2018

Computing diffusivities from particle models out of equilibrium

scientific article published in 2018

Conservative-dissipative approximation schemes for a generalized Kramers equation

Crystal symmetry and the reversibility of martensitic transformations

scientific article published in March 2004

ESCAPING POINTS OF EXPONENTIAL MAPS

Entropic and gradient flow formulations for nonlinear diffusion ⬇️

Entropy production and the geometry of dissipative evolution equations ⬇️

scientific article published on 13 November 2015

Evolutionary problems in non-reflexive spaces

Existence of Dynamic Phase Transitions in a One-Dimensional Lattice Model with Piecewise Quadratic Interaction Potential

Existence of subsonic heteroclinic waves for the Frenkel–Kontorova model with piecewise quadratic on-site potential

From a Large-Deviations Principle to the Wasserstein Gradient Flow: A New Micro-Macro Passage

GENERIC formalism of a Vlasov–Fokker–Planck equation and connection to large-deviation principles

Geometrical interpretation of fluctuating hydrodynamics in diffusive systems ⬇️

article

Global existence for a nonlinear system in thermoviscoelasticity with nonconvex energy

Gradient flows in asymmetric metric spaces

Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction

Hydrodynamic Limit of Condensing Two-Species Zero Range Processes with Sub-critical Initial Profiles

scientific article published on 01 July 2017

Jog my shape memory: dynamics as a challenge in mathematical materials science

scientific article published on December 2006

Kinetic Relations for a Lattice Model of Phase Transitions

Large deviations and gradient flows

scientific article published on 18 November 2013

Mathematical concepts for the micromechanical modelling of dislocation dynamics with a phase-field approach

Microstructures in Solids: From Quantum Models to Continua

Modeling and simulation of martensitic phase transitions with a triple point

Modeling transformation paths of multiphase materials: The triple point of zirconia

scholarly article in Physical Review B, vol. 79 no. 10, March 2009

Modelling of Thin Martensitic Films with Nonpolynomial Stored Energies

Nonexistence of Slow Heteroclinic Travelling Waves for a Bistable Hamiltonian Lattice Model

On an Extension of the Space of Bounded Deformations

article published in 2012

On selection criteria for problems with moving inhomogeneities

article published in 2011

On the $\Gamma$-limit for a non-uniformly bounded sequence of two-phase metric functionals

Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours

Rate-independent processes with linear growth energies and time-dependent boundary conditions

Second-order fast–slow dynamics of non-ergodic Hamiltonian systems: Thermodynamic interpretation and simulation

scientific article published in 2021

Solitary Waves for Nonconvex FPU Lattices

Stability of travelling wavefronts in discrete reaction–diffusion equations with nonlocal delay effects ⬇️

Stored Energy Functions for Phase Transitions in Crystals

Subsonic Phase Transition Waves in Bistable Lattice Models with Small Spinodal Region

Symmetries and Geometrical Properties of Dynamical Fluctuations in Molecular Dynamics

The Semi-infinite Asymmetric Exclusion Process: Large Deviations via Matrix Products

Three-dimensional model of martensitic transformations with elasto-plastic effects

Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices

Towards the efficient computation of effective properties of microstructured materials

Travelling Wavefronts in Nonlocal Diffusion Equations with Nonlocal Delay Effects

Travelling lattice waves in a toy model of Lennard-Jones interaction

Travelling wave solutions for a quasilinear model of field dislocation mechanics

Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction

Travelling waves for a Frenkel–Kontorova chain

Upscaling from particle models to entropic gradient flows

Variational and Extremum Principles in Macroscopic Systems

Young measure flow as a model for damage