167 citations · 623 across the 43 of their papers we have counts for
3 papers · 1 filter
Local and global existence of smooth solutions for the stochastic Euler equations with multiplicative noise
Nathan E. Glatt-Holtz, Vlad C. Vicol
We establish the local existence of pathwise solutions for the stochastic Euler equations in a three-dimensional bounded domain with slip boundary conditions and a very general non…
Invariant Measures for Dissipative Dynamical Systems: Abstract Results and Applications
Micka ël D. Chekroun, Nathan E. Glatt-Holtz
In this work we study certain invariant measures that can be associated to the time averaged observation of a broad class of dissipative semigroups via the notion of a generalized…
Global Existence and Regularity for the 3D Stochastic Primitive Equations of the Ocean and Atmosphere with Multiplicative White Noise
Arnaud Debussche, Nathan Glatt-Holtz, Roger Temam +1
The Primitive Equations are a basic model in the study of large scale Oceanic and Atmospheric dynamics. These systems form the analytical core of the most advanced General Circulat…