4 papers
Quantitative stochastic homogenization of nonlinearly elastic, random laminates
Stefan Neukamm, Mathias Schäffner, Mario Varga
In this paper we study quantitative stochastic homogenization of a nonlinearly elastic composite material with a laminate microstructure. We prove that for deformations close to th…
Stochastic two-scale convergence and Young measures
Martin Heida, Stefan Neukamm, Mario Varga
In this paper we compare the notion of stochastic two-scale convergence in the mean (by Bourgeat, Mikelić and Wright), the notion of stochastic unfolding (recently introduced by th…
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…