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math.DS2022★ 1 cited
Random Splitting of Fluid Models: Positive Lyapunov Exponents
Andrea Agazzi, Jonathan C. Mattingly, Omar Melikechi
In this paper we give sufficient conditions for random splitting systems to have a positive top Lyapunov exponent. We verify these conditions for random splittings of two fluid mod…
math.PR2022★ 4 cited
Random Splitting of Fluid Models: Ergodicity and Convergence
Andrea Agazzi, Jonathan C. Mattingly, Omar Melikechi
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…