16 citations · 46 across the 33 of their papers we have counts for
5 papers · 1 filter
SPDEs on narrow domains and on graphs: an asymptotic approach
Sandra Cerrai, Mark Freidlin
We introduce here a class of stochastic partial differential equations defined on a graph and we show how they are obtained as the limit of suitable stochastic partial equations de…
On the Smoluchowski-Kramers approximation for a system with infinite degrees of freedom exposed to a magnetic field
Sandra Cerrai, Michael Salins
We study the validity of the so-called Smoluchowski-Kramers approximation for a two dimensional system of stochastic partial differential equations, subject to a constant magnetic…
Smoluchowski-Kramers approximation and large deviations for infinite dimensional non-gradient systems with applications to the exit problem
Sandra Cerrai, Michael Salins
In this paper, we study the quasi-potential for a general class of damped semilinear stochastic wave equations. We show that, as the density of the mass converges to zero, the infi…
Smoluchowski-Kramers approximation and large deviations for infinite dimensional gradient systems
Sandra Cerrai, Michael Salins
In this paper, we explicitly calculate the quasi-potentials for the damped semilinear stochastic wave equation when the system is of gradient type. We show that in this case the in…
Quasipotential and exit time for 2D Stochastic Navier-Stokes equations driven by space time white noise
Zdzislaw Brzezniak, Sandra Cerrai, Mark Freidlin
We are dealing with the Navier-Stokes equation in a bounded regular domain of , perturbed by an additive Gaussian noise , which is wh…