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

Christian Soize

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arXiv · 2106.07706

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

Christian Soize

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Abstract

This paper present a construction and the analysis of a class of non-Gaussian positive-definite matrix-valued homogeneous random fields 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.

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Christian Soize. 2021-06-14. Stochastic elliptic operators defined by non-gaussian random fields with uncertain spectrum. https://arxiv.org/abs/2106.07706

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