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math.AP2021★ 1 cited
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…
math.PR2021
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…