16 citations · 46 across the 33 of their papers we have counts for
4 papers · 1 filter
Large deviations principle for the invariant measures of the 2D stochastic Navier-Stokes equations with vanishing noise correlation
Sandra Cerrai, Nicholas Paskal
We study the two-dimensional incompressible Navier-Stokes equation on the torus, driven by Gaussian noise that is white in time and colored in space. We consider the case where the…
A Smoluchowski-Kramers approximation for an infinite dimensional system with state-dependent damping
Sandra Cerrai, Guangyu Xi
We study the validity of a Smoluchowski-Kramers approximation for a class of wave equations in a bounded domain of subject to a state-dependent damping and perturbed…
An averaging approach to the Smoluchowski-Kramers approximation in the presence of a varying magnetic field
Sandra Cerrai, Jan Wehr, Yichun Zhu
We study the small mass limit of the equation describing planar motion of a charged particle of a small mass in a force field, containing a magnetic component, perturbed by a s…
Incompressible viscous fluids in and SPDEs on graphs, in presence of fast advection and non smooth noise
Sandra Cerrai, Guangyu Xi
The asymptotic behavior of a class of stochastic reaction-diffusion-advection equations in the plane is studied. We show that as the divergence-free advection term becomes larger a…