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Stochastic homogenization of nonlocal reaction–diffusion problems of gradient flow type

  • Omar Anza Hafsa,
  • Jean-Philippe Mandallena,
  • Gérard Michaille

摘要

In this paper we study the stochastic homogenization of reaction–diffusion problems whose the diffusion terms are gradients of random nonlocal convex and Fréchet-differentiable functionals and the reaction terms are random CP-structured reaction functionals as introduced in Anza Hafsa et al. (Asymptot Anal 115(3–4):169–221, 2019). We provide an application to spatial population dynamics.