43 citations · 87 across the 19 of their papers we have counts for
23 papers
Existence of homeomorphic minimizers via mappings of finite distortion in compressible magnetoelasticity
Shilpa Dutta, Anja Schlömerkemper
We establish the existence of an energy minimizer for a variational model of compressible magnetoelastic solids. The analysis is carried out in a new admissible class of deformatio…
A study of ferronematic thin films including a stray field energy
Shilpa Dutta, James Dalby, Apala Majumdar +1
Ferronematic materials are colloidal suspensions of magnetic particles in liquid crystals. They are complex materials with potential applications in display technologies, sensors,…
Modeling of fluid-rigid body interaction in an electrically conducting fluid
Jan Scherz, Anja Schlömerkemper
We derive a mathematical model for the motion of several insulating rigid bodies through an electrically conducting fluid. Starting from a universal model describing this phenomeno…
Temperature dependent extensions of the Cahn-Hilliard equation
Francesco De Anna, Chun Liu, Anja Schlömerkemper +1
The Cahn-Hilliard equation is a fundamental model that describes phase separation processes of binary mixtures. In this paper we focus on the dynamics of these binary media, when t…
Onset of fracture in random heterogeneous particle chains
Laura Lauerbach, Stefan Neukamm, Mathias Schäffner +1
In mechanical systems it is of interest to know the onset of fracture in dependence of the boundary conditions. Here we study a one-dimensional model which allows for an underlying…
Derivation of a variational model for brittle fracture from a random heterogeneous particle chain
Laura Lauerbach, Anja Schlömerkemper
A mathematical continuum limit of the interaction energy of a random particle chain is shown to yield new insight into the effect of microscopic heterogeneities on macroscopic frac…
Struwe-like solutions for an evolutionary model of magnetoviscoelastic fluids
Francesco De Anna, Joshua Kortum, Anja Schlömerkemper
In this work we investigate the existence and uniqueness of Struwe-like solutions for a system of partial differential equations modeling the dynamics of magnetoviscoelastic fluids…
Mechanical behaviour of heterogeneous nanochains in the -limit of stochastic particle systems
Laura Lauerbach, Stefan Neukamm, Mathias Schäffner +1
Nanochains of atoms, molecules and polymers have gained recent interest in the experimental sciences. This article contributes to an advanced mathematical modeling of the mechanica…
Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity
Martin Kalousek, Joshua Kortum, Anja Schlömerkemper
The paper is concerned with the analysis of an evolutionary model for magnetoviscoelastic materials in two dimensions. The model consists of a Navier-Stokes system featuring a depe…
External forces in the continuum limit of discrete systems with non-convex interaction potentials: Compactness for a -development
Marcello Carioni, Julian Fischer, Anja Schlömerkemper
This paper is concerned with equilibrium configurations of one-dimensional particle system with non-convex nearest-neighbour and next-to-nearest-neighbour interactions and its pass…
Shape memory alloys as gradient-polyconvex materials
Martin Kružík, Petr Pelech, Anja Schlömerkemper
We show existence of an energetic solution to a model of shape memory alloys in which the elastic energy is described by means of a gradient-polyconvex functional. This allows us t…
A note on locking materials and gradient polyconvexity
Barbora Benešová, Martin Kružík, Anja Schlömerkemper
We use gradient Young measures generated by Lipschitz maps to define a relaxation of integral functionals which are allowed to attain the value and can model ideal lockin…
Uniqueness of solutions for a mathematical model for magneto-viscoelastic flows
Anja Schlömerkemper, Josef Žabenský
We investigate uniqueness of weak solutions for a system of partial differential equations capturing behavior of magnetoelastic materials. This system couples the Navier-Stokes equ…
Existence of weak solutions to an evolutionary model for magnetoelasticity
Barbora Benešová, Johannes Forster, Chun Liu +1
We prove existence of weak solutions to an evolutionary model derived for magnetoelastic materials. The model is phrased in Eulerian coordinates and consists in particular of (i) a…
Stochastic homogenization of nonconvex discrete energies with degenerate growth
Stefan Neukamm, Mathias Schaffner, Anja Schlomerkemper
We study the continuum limit of discrete, nonconvex energy functionals defined on crystal lattices in dimensions . Since we are interested in energy functionals with rando…
Derivation of as the continuum limit of crystalline slip
Celia Reina, Anja Schlömerkemper, Sergio Conti
In this paper we provide a proof of the multiplicative kinematic description of crystal elastoplasticity in the setting of large deformations, i.e. $\mathbf{F}=\mathbf{F}^e\mathbf{…
Rigidity of three-dimensional lattices and dimension reduction in heterogeneous nanowires
G. Lazzaroni, M. Palombaro, A. Schlömerkemper
In the context of nanowire heterostructures we perform a discrete to continuum limit of the corresponding free energy by means of -convergence techniques. Nearest neighbours are…
On Lennard-Jones systems with finite range interactions and their asymptotic analysis
Mathias Schäffner, Anja Schlömerkemper
The aim of this work is to provide further insight into the qualitative behavior of mechanical systems that are well described by Lennard-Jones type interactions on an atomistic sc…
On a Gamma-convergence analysis of a quasicontinuum method
Mathias Schäffner, Anja Schlömerkemper
We investigate a quasicontinuum method by means of analytical tools. More precisely, we compare a discrete-to-continuum analysis of an atomistic one-dimensional model problem with…
A discrete to continuum analysis of dislocations in nanowire heterostructures
Giuliano Lazzaroni, Mariapia Palombaro, Anja Schlömerkemper
Epitaxially grown heterogeneous nanowires present dislocations at the interface between the phases if their radius is big. We consider a corresponding variational discrete model wi…
On the Allen-Cahn/Cahn-Hilliard system with a geometrically linear elastic energy
Thomas Blesgen, Anja Schlömerkemper
We present an extension of the Allen-Cahn/Cahn-Hilliard system which incorporates a geometrically linear ansatz for the elastic energy of the precipitates. The model contains both…
Non-laminate Microstructures in Monoclinic-I Martensite
Isaac Vikram Chenchiah, Anja Schlömerkemper
We study the symmetrised rank-one convex hull of monoclinic-I martensite (a twelve-variant material) in the context of geometrically-linear elasticity. We construct sets of T3s, wh…
Perturbation Theory of Schrödinger Operators in Infinitely Many Coupling Parameters
Manfred Requardt, Anja Schlömerkemper
In this paper we study the behavior of Hamilton operators and their spectra which depend on infinitely many coupling parameters or, more generally, parameters taking values in some…