224 citations · 694 across the 41 of their papers we have counts for
6 papers · 1 filter
Climate dynamics and fluid mechanics: Natural variability and related uncertainties
Michael Ghil, Mickaël D. Chekroun, Eric Simonnet
The purpose of this review-and-research paper is twofold: (i) to review the role played in climate dynamics by fluid-dynamical models; and (ii) to contribute to the understanding a…
Averaging of time-periodic systems without a small parameter
Mickaël D. Chekroun, Michael Ghil, Jean Roux +1
In this article, we present a new approach to averaging in non-Hamiltonian systems with periodic forcing. The results here do not depend on the existence of a small parameter. In f…
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…
Models of population dynamics under the influence of external perturbations: mathematical results
Mickaël D. Chekroun, Lionel Roques
In this Note, we describe the stationary equilibria and the asymptotic behaviour of an heterogeneous logistic reaction-diffusion equation under the influence of autonomous or time-…
Homeomorphisms group of normed vector space: Conjugacy problems and the Koopman operator
Mickael D. Chekroun, Jean Roux
This article is concerned with conjugacy problems arising in homeomorphisms group, Hom(), of unbounded subsets of normed vector spaces . Given two homeomorphisms and…