# Random Splitting of Fluid Models: Ergodicity and Convergence

@inproceedings{Agazzi2022RandomSO, title={Random Splitting of Fluid Models: Ergodicity and Convergence}, author={Andr{\'e}a Agazzi and Jonathan C. Mattingly and Omar Melikechi}, year={2022} }

We introduce a family of stochastic models motivated by the study of nonequilibrium steady states of fluid equations. These models decompose the deterministic dynamics of interest into fundamental building blocks, i.e., minimal vector fields preserving some fundamental aspects of the original dynamics. Randomness is injected by sequentially following each vector field for a random amount of time. We show under general assumptions that these random dynamics possess a unique invariant measure and…

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