5 citations · 5 across the 3 of their papers we have counts for
5 papers · 1 filter
Unique Ergodicity in Stochastic Electroconvection
Elie Abdo, Nathan Glatt-Holtz, Mihaela Ignatova
We consider a stochastic electroconvection model describing the nonlinear evolution of a surface charge density in a two-dimensional fluid with additive stochastic forcing. We prov…
Affine Poisson & Non-Poisson trace principles for
Nico Lombardi, Jie Xiao
This note discovers not only an affine non-sharp-Poisson trace inequality but also its sharp-non-Poisson version for a Sobolev function with the fractional antiderivative.
Invariant measures for the stochastic one-dimensional compressible Navier-Stokes equations
Michele Coti Zelati, Nathan Glatt-Holtz, Konstantina Trivisa
We investigate the long-time behavior of solutions to a stochastically forced one-dimensional Navier-Stokes system, describing the motion of a compressible viscous fluid, in the ca…
Asymptotic Analysis for Randomly Forced MHD
Juraj Földes, Susan Friedlander, Nathan Glatt-Holtz +1
We consider the three-dimensional magnetohydrodynamics (MHD) equations in the presence of a spatially degenerate stochastic forcing as a model for magnetostrophic turbulence in the…
On Inviscid Limits for the Stochastic Navier-Stokes Equations and Related Models
Nathan Glatt-Holtz, Vladimir Sverak, Vlad Vicol
We study inviscid limits of invariant measures for the 2D Stochastic Navier-Stokes equations. As shown in \cite{Kuksin2004} the noise scaling is the only one which leads…