Stochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum

Christian Soize (1)

1 MSME - Laboratoire Modélisation et Simulation Multi-Echelle

This paper presents a construction and the analysis of a class of non-Gaussian positive-denite matrix-valued homogeneous random elds with uncertain spectral measure for stochastic elliptic operators. Then the stochastic elliptic boundary value problem in a bounded domain of the 3D-space is introduced and analyzed for stochastic homogenization.

Mots clés: Stochastic elliptic operators; non-Gaussian random fields; uncertain spectrum; stochastic homogenization

Domaines: Probabilités [math.PR]; Statistiques [math.ST]

Christian Soize. Stochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum. Theory of Probability and Mathematical Statistics, 2021, 105, pp.113-136. ⟨10.1090/tpms/1159⟩. ⟨hal-03381362⟩