167 citations · 623 across the 43 of their papers we have counts for
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Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations
Nathan Glatt-Holtz, Igor Kukavica, Vlad Vicol +1
We establish the continuity of the Markovian semigroup associated with strong solutions of the stochastic 3D Primitive Equations, and prove the existence of an invariant measure. T…
Ergodic and Mixing Properties of the Boussinesq Equations with a Degenerate Random Forcing
Juraj Földes, Nathan Glatt-Holtz, Geordie Richards +1
We establish the existence, uniqueness and attraction properties of an ergodic invariant measure for the Boussinesq Equations in the presence of a degenerate stochastic forcing act…
Martingale and Pathwise Solutions to the Stochastic Zakharov-Kuznetsov Equation with Multiplicative Noise
Nathan Glatt-Holtz, Roger Temam, Chuntian Wang
We study in this article the stochastic Zakharov-Kuznetsov equation driven by a multiplicative noise. We establish, in space dimensions two and three the global existence of martin…
Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations
Peter Constantin, Nathan Glatt-Holtz, Vlad Vicol
We establish the existence and uniqueness of an ergodic invariant measure for 2D fractionally dissipated stochastic Euler equations on the periodic box, for any power of the dissip…
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…