32 citations · 147 across the 27 of their papers we have counts for
3 papers · 1 filter
Transitions in Stochastic Non-equilibrium Systems: Efficient Reduction and Analysis
Mickaël D. Chekroun, Honghu Liu, James C. McWilliams +1
A central challenge in physics is to describe non-equilibrium systems driven by randomness, such as a randomly growing interface, or fluids subject to random fluctuations that acco…
Non-Markovian Reduced Systems for Stochastic Partial Differential Equations: The Additive Noise Case
Mickaël D. Chekroun, Honghu Liu, Shouhong Wang
This article proposes for stochastic partial differential equations (SPDEs) driven by additive noise, a novel approach for the approximate parameterizations of the ``small'' scales…
On stochastic parameterizing manifolds: Pullback characterization and Non-Markovian reduced equations
Mickael D. Chekroun, Honghu Liu, Shouhong Wang
A general approach to provide approximate parameterizations of the "small" scales by the "large" ones, is developed for stochastic partial differential equations driven by linear m…