Stochastic homogenization of diffusions in turbulence driven by non-local symmetric Lévy operators
Year: 2026
Type: preprint
Abstract: We investigate the stochastic homogenization of a class of turbulent diffusions generated by non-local symmetric Lévy operators with divergence-free drift fields in ergodic random environments, where neither the drift fields nor their associated stream functions are assumed to be bounded. A pivotal step in our proof is the establishment of $W_{loc}^{1,q}$ estimates with $q\in (1,2)$ for the corresponding correctors, under mild prior regularity conditions imposed on the Lévy measure and the stream function.
Source: arXiv (Cornell University)
Authors: Chen, Xin, Wang, Jian, Yin, Kun
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Awards: G4438421012, G6879159462
OpenAlex ID: W7130728435
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