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math.AP2021
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…
math.AP2019
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…
math.AP2019
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…