167 citations · 623 across the 43 of their papers we have counts for
4 papers · 1 filter
Pathwise Solutions of the 2D Stochastic Primitive Equations
Nathan Glatt-Holtz, Roger Temam
In this work we consider a stochastic version of the Primitive Equations (PEs) of the ocean and the atmosphere and establish the existence and uniqueness of pathwise, strong soluti…
Local Martingale and Pathwise Solutions for an Abstract Fluids Model
Arnaud Debussche, Nathan Glatt-Holtz, Roger Temam
We establish the existence and uniqueness of both local martingale and local pathwise solutions of an abstract nonlinear stochastic evolution system. The primary application of thi…
Asymptotics of the Coleman-Gurtin model
Mickaël D. Chekroun, Francesco Di Plinio, Nathan E. Glatt-Holtz +1
This paper is concerned with the integrodifferential equation $$\partial_t u-Δu -\int_0^\infty κ(s)Δu(t-s)\,\d s + φ(u)=f$$ arising in the Coleman-Gurtin's theory of heat conductio…
Parameter Estimation for the Stochastically Perturbed Navier-Stokes Equations
Igor Cialenco, Nathan Glatt-Holtz
We consider a parameter estimation problem to determine the viscosity of a stochastically perturbed 2D Navier-Stokes system. We derive several different classes of estimators b…