1 citations · 1 across the 5 of their papers we have counts for
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Stochastic Homogenization on Irregularly Perforated Domains
Martin Heida, Benedikt Jahnel, Anh Duc Vu
We study stochastic homogenization of a quasilinear parabolic PDE with nonlinear microscopic Robin conditions on a perforated domain. The focus of our work lies on the underlying g…
Stochastic homogenization on randomly perforated domains
Martin Heida
We study the existence of uniformly bounded extension and trace operators for -functions on randomly perforated domains, where the geometry is assumed to be stationary erg…
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…
The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps
Franziska Flegel, Martin Heida
We study a general class of discrete -Laplace operators in the random conductance model with long-range jumps and ergodic weights. Using a variational formulation of the problem…
Stochastic homogenization of plasticity equations
M. Heida, B. Schweizer
In the context of infinitesimal strain plasticity with hardening, we derive a stochastic homogenization result. We assume that the coefficients of the equation are random functions…