224 citations · 694 across the 41 of their papers we have counts for
8 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…
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…
Asymptotics of the Coleman-Gurtin model
Mickaël D. Chekroun, Francesco Di Plinio, Nathan E. Glatt-Holtz +1
This paper is concerned with the integrodifferential equation $$\partial_t u-Δu -\int_0^\infty κ(s)Δu(t-s)\,\d s + φ(u)=f$$ arising in the Coleman-Gurtin's theory of heat conductio…
On population resilience to external perturbations
Lionel Roques, Mickaël D. Chekroun
We study a spatially explicit harvesting model in periodic or bounded environments. The model is governed by a parabolic equation with a spatially dependent nonlinearity of Kolmogo…