167 citations · 623 across the 43 of their papers we have counts for
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math.PR2014★ 7 cited
Notes on Statistically Invariant States in Stochastically Driven Fluid Flows
Nathan Glatt-Holtz
These expository notes address certain stationary and ergodic properties of the equations of fluid dynamics subject to a spatially degenerate (i.e. frequency localized), white in t…
math.AP2014★ 2 cited
Time Discrete Approximation of Weak Solutions for Stochastic Equations of Geophysical Fluid Dynamics and Applications
Nathan Glatt-Holtz, Roger Temam, Chuntian Wang
As a first step towards the numerical analysis of the stochastic primitive equations of the atmosphere and oceans, we study their time discretization by an implicit Euler scheme. F…
math-ph2014
Inviscid Limits for a Stochastically Forced Shell Model of Turbulent Flow
Susan Friedlander, Nathan Glatt-Holtz, Vlad Vicol
We establish the anomalous mean dissipation rate of energy in the inviscid limit for a stochastic shell model of turbulent fluid flow. The proof relies on viscosity independent bou…