96 citations · 197 across the 12 of their papers we have counts for
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math.PR2006★ 5 cited
Multiscale Analysis for SPDEs with Quadratic Nonlinearities
D. Blömker, G. A. Pavliotis, M. Hairer
In this article we derive rigorously amplitude equations for stochastic PDEs with quadratic nonlinearities, under the assumption that the noise acts only on the stable modes and fo…
physics.flu-dyn2006★ 10 cited
Estimates for the two-dimensional Navier-Stokes equations in terms of the Reynolds number
J. D. Gibbon, G. A. Pavliotis
The tradition in Navier-Stokes analysis of finding estimates in terms of the Grashof number $\bG$, whose character depends on the ratio of the forcing to the viscosity , means t…
math.ST2006★ 96 cited
Parameter Estimation for Multiscale Diffusions
G. A. Pavliotis, A. M. Stuart
We study the problem of parameter estimation for time-series possessing two, widely separated, characteristic time scales. The aim is to understand situations where it is desirable…