Heida, Martin and Neukamm, Stefan and Varga, Mario (2021) Stochastic homogenization of Λconvex gradient flows. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES S, 14 (1). pp. 427459.

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Official URL: https://doi:10.3934/dcdss.2020328
Abstract
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 Λconvex energy functional featuring random and rapidly oscillating coefficients. Specific examples included in the result are AllenCahn type equations and evolutionary equations driven by the pLaplace operator with p∈(1,∞). The homogenization procedure we apply is based on a stochastic twoscale convergence approach. In particular, we define a stochastic unfolding operator which can be considered as a random counterpart of the wellestablished notion of periodic unfolding. The stochastic unfolding procedure grants a very convenient method for homogenization problems defined in terms of (Λ)convex functionals.
Item Type:  Article 

Subjects:  Mathematical and Computer Sciences > Mathematics > Applied Mathematics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics 
ID Code:  2346 
Deposited By:  Silvia Hoemke 
Deposited On:  04 Jun 2019 13:32 
Last Modified:  18 Mar 2022 10:06 
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