Publikationen

Preprints

with M. Heida and M. Varga: Stochastic two-scale convergence and Young measures. arXiv Preprint
with L. Lauerbach, M. Schäffner and A. Schlömerkemper:

Mechanical behaviour of heterogeneous nanochains in the Γ-limit of stochastic particle systems. arXiv preprint

with M. Heida and M. Varga: Stochastic two-scale convergence and Young measures. Networks and Heterogeneous Media (accepted) arXiv Preprint

with J. Fischer: Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems. Archive for Rational Mechanics and Analysis (accepted) https://arxiv.org/abs/1908.02273
with M. Heida and M. Varga: Stochastic homogenization of Λ-convex gradient flows. Discrete and Continuous Dynamical Systems Series S 14 (1), 427-453, 2021 https://arxiv.org/abs/1905.02562

with M. Varga and M. Waurick: Two-scale homogenization of abstract linear time-dependent PDEs. Asymptotic Analysis (accepted) https://arxiv.org/abs/1905.02945
with R. Bauer and M. Schäffner: Derivation of a homogenized bending-torsion theory for rods with micro-heterogeneous prestrain. Journal of Elasticity 141, 109-145, 2020
https://arxiv.org/abs/1903.08290
with A. Gloria and F. Otto: Quantitative estimates in stochastic homogenization for correlated coefficient fields. Analysis & PDE (accepted) https://arxiv.org/abs/1910.05530

with L. Lauerbach, M. Schäffner, A. Schlömerkemper: Continuum Limit and Homogenization of Stochastic and Periodic Discrete Systems–Fracture in Composite Materials, PAMM 19 (1)
with H. Hoppe and J. Masamune: H-compactness of elliptic operators on weighted Riemannian Manifolds. Interdisciplinary Information Sciences (accepted) arXiv preprint
with M. Schäffner: Lipschitz estimates and existence of correctors for nonlinearly elastic, periodic composites subject to small strains. Calculus of Variations and Partial Differential Equations (accepted). arXiv preprint

with S. Andres: Berry-Esseen Theorem and quantitative homogenization for the random conductance model with degenerate conductances. Stochastics and Partial Differential Equations: Analysis and Computations (online first), arXiv preprint
An introduction to the qualitative and quantitative theory of homogenization,
(lecture notes for the GSIS Internation Winter School on "Stochastic homogenization" 2017, Tohoku University, Sendai, Japan), Interdisciplinary Information Sciences 24(1):1-48, 2018. arXiv preprint.
with M. Schäffner: Quantitative homogenization in nonlinear elasticity
for small loads. Archive for Rational Mechanics and Analysis (accepted), arXiv preprint
with M. Varga: Stochastic unfolding and homogenization of spring network models. SIAM MMS (accepted). arXiv preprint

with M. Rossi, T. Wallmersperger and K. Padberg-Gehle: Modeling and Simulation of Electrochemical Cells under Applied Voltage. Electrochimica Acta (in print) [paper]
with M. Cherdantsev and K. Cherednichenko: Homogenisation in finite elasticity for composites with a high contrast in the vicinity of rigid-body motions. Asymptotic Analysis (accepted) [preprint version].
with M. Schäffner and A. Schlömerkemper: Stochastic homogenization of nonconvex discrete energies with degenerate growth. SIAM Journal on Mathematical Analysis (accepted) [arXiv preprint]
with J. Ben-Artzi, D. Marahrens: Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations. Communications in Partial Differential Equations (accepted) [arXiv preprint].

Quantitative stochastic homogenization of elliptic equations. MFO Report No. 35/2015
with A. Lamacz and F. Otto: Moment bounds for the corrector in stochastic homogenization of a percolation model. Electron. J. Probab. 20, no. 106, 1–30 2015. [article].
with H. Olbermann: Homogenization of the nonlinear bending theory for plates. Calculus of Variations and Partial Differential Equations 53:719–753 2015. [preprint version]
with A. Gloria and F. Otto: Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics.Inventiones mathematicae, 199(2):455-515 2015, [MPI preprint, MPI preprint (long version)].

with P. Hornung and I. Velcic: Derivation of a homogenized nonlinear plate theory from 3d elasticity. Calculus of Variations and Partial Differential Equations 51(3-4):677-699 2014, [preprint version]
with A. Gloria and F. Otto: An optimal quantitative two-scale expansion in stochastic homogenization of discrete linear elliptic equations,ESAIM: Mathematical Modelling and Numerical Analysis, 48:325-346 2014. [article], [MPI preprint]

with I. Velcic: Derivation of a Homogenized Von-Kármán Plate Theory from 3d Nonlinear Elasticity. Mathematical Models and Methods in Applied Sciences, 23(14):2701-2748, 2013. online first, [preprint version]

Rigorous derivation of a homogenized bending-torsion theory for inextensible rods from 3d elasticity. Archive for Rational Mechanics and Analysis 206(2):645-706 2012. [preprint version]

with A. Gloria: Commutability of homogenization and linearization at identity in finite elasticity and applications. Annales de l'Institut Henri Poincare (C) 28(6):941-964 2011. [preprint version]
with S. Müller: On the commutability of homogenization and linearization in finite elasticity. Archive for Rational Mechanics and Analysis 201(2):465-500 2011. [preprint version]
with P. E. Stelzig: On the interplay of two-scale convergence and translation. Asymptotic Analysis 71(3):163-183, 2011. [preprint version]

Homogenization, linearization and dimension reduction in elasticity with variational methods. Dissertation Technische Universität München,2010. [pdf]