224 citations · 694 across the 41 of their papers we have counts for
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math.AP2013★ 5 cited
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…
math.AP2013★ 6 cited
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…
math.AP2013★ 2 cited
Topological instabilities in families of semilinear parabolic problems subject to nonlinear perturbations
Mickael D. Chekroun
In this article it is proved that the dynamical properties of a broad class of semilinear parabolic problems are sensitive to arbitrarily small but smooth perturbations of the nonl…