4 citations · 5 across the 6 of their papers we have counts for
6 papers
Metastability in Parabolic Equations and Diffusion Processes with a Small Parameter
Mark Freidlin, Leonid Koralov
We study diffusion processes in that leave invariant a finite collection of manifolds (surfaces or points) in and small perturbations of such processe…
Perturbation of Systems with a First Integral: Motion on the Reeb Graph
Mark Freidlin
We consider the long-time behavior of systems close to a system with a smooth first integral. Under certain assumptions, the limiting behavior, to some extent, turns out to be univ…
Perturbations of Parabolic Equations and Diffusion Processes with Degeneration: Boundary Problems, Metastability, and Homogenization
Mark Freidlin, Leonid Koralov
We study diffusion processes that are stopped or reflected on the boundary of a domain. The generator of the process is assumed to contain two parts: the main part that degenerates…
Asymptotics in the Dirichlet Problem for Second Order Elliptic Equations with Degeneration on the Boundary
Mark Freidlin, Leonid Koralov
We study small perturbations of the Dirichlet problems for second order elliptic equations that degenerate on the boundary. The limit of the solution, as the perturbation tends to…
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…
Nonlinear Stochastic Perturbations of Dynamical Systems and Quasi-linear Parabolic PDE's with a Small Parameter
M. Freidlin, L. Koralov
In this paper we describe the asymptotic behavior, in the exponential time scale, of solutions to quasi-linear parabolic equations with a small parameter at the second order term a…