49 citations · 83 across the 8 of their papers we have counts for
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On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations
Nathan E. Glatt-Holtz, Jonathan C. Mattingly, Geordie Richards
We illustrate how the notion of asymptotic coupling provides a flexible and intuitive framework for proving the uniqueness of invariant measures for a variety of stochastic partial…
Ergodicity in Randomly Forced Rayleigh-Bénard Convection
J. Földes, N. Glatt-Holtz, G. Richards +1
We consider the Boussinesq approximation for Rayleigh-Bénard convection perturbed by an additive noise and with boundary conditions corresponding to heating from below. In two spac…
On invariant Gibbs measures for the generalized KdV equations
Tadahiro Oh, Geordie Richards, Laurent Thomann
We consider the defocusing generalized KdV equations on the circle. In particular, we construct global-in-time solutions with initial data distributed according to the Gibbs measur…
Large Prandtl Number Asymptotics in Randomly Forced Turbulent Convection
Juraj Foldes, Nathan Glatt-Holtz, Geordie Richards
We establish the convergence of statistically invariant states for the stochastic Boussinesq Equations in the infinite Prandtl number limit and in particular demonstrate the conver…