54 citations · 182 across the 23 of their papers we have counts for
6 papers · 2 filters
Quantitative estimates in stochastic homogenization for correlated coefficient fields
Antoine Gloria, Stefan Neukamm, Felix Otto
This paper is about the homogenization of linear elliptic operators in divergence form with stationary random coefficients that have only slowly decaying correlations. It deduces o…
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…
Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems
Julian Fischer, Stefan Neukamm
We derive optimal-order homogenization rates for random nonlinear elliptic PDEs with monotone nonlinearity in the uniformly elliptic case. More precisely, for a random monotone ope…
Two-scale homogenization of abstract linear time-dependent PDEs
Stefan Neukamm, Mario Varga, Marcus Waurick
Many time-dependent linear partial differential equations of mathematical physics and continuum mechanics can be phrased in the form of an abstract evolutionary system defined on a…
Stochastic homogenization of -convex gradient flows
Martin Heida, Stefan Neukamm, Mario Varga
In this paper we present a stochastic homogenization result for a class of Hilbert space evolutionary gradient systems driven by a quadratic dissipation potential and a -convex…
Derivation of a homogenized bending--torsion theory for rods with micro-heterogeneous prestrain
Robert Bauer, Stefan Neukamm, Mathias Schäffner
In this paper we investigate rods made of nonlinearly elastic, composite--materials that feature a micro-heterogeneous prestrain that oscillates (locally periodic) on a scale that…