37 citations · 162 across the 25 of their papers we have counts for
8 papers · 1 filter
On diffusion in narrow random channels
Mark Freidlin, Wenqing Hu
We consider in this paper a solvable model for the motion of molecular motors. Based on the averaging principle, we reduce the problem to a diffusion process on a graph. We then ca…
On stochasticity in nearly-elastic systems
Mark Freidlin, Wenqing Hu
Nearly-elastic model systems with one or two degrees of freedom are considered: the system is undergoing a small loss of energy in each collision with the "wall". We show that inst…
Smoluchowski-Kramers approximation in the case of variable friction
Mark Freidlin, Wenqing Hu
We consider the small mass asymptotics (Smoluchowski-Kramers approximation) for the Langevin equation with a variable friction coefficient. The limit of the solution in the classic…
On perturbations of generalized Landau-Lifshitz dynamics
Mark Freidlin, Wenqing Hu
We consider deterministic and stochastic perturbations of dynamical systems with conservation laws in . The Landau-Lifshitz equation for the magnetization dynamics in ferroma…
On second order elliptic equations with a small parameter
Mark Freidlin, Wenqing Hu
The Neumann problem with a small parameter is considered in this paper.…
Random perturbations of dynamical systems with reflecting boundary and corresponding PDE with a small parameter
Wenqing Hu, Lucas Tcheuko
We study the asymptotic behavior of a diffusion process with small diffusion in a domain . This process is reflected at with respect to a co-normal direction pointi…
On metastability in nearly-elastic systems
Wenqing Hu
We consider a nearly-elastic model system with one degree of freedom. In each collision with the "wall", the system can either lose or gain a small amount of energy due to stochast…
Small mass asymptotic for the motion with vanishing friction
Mark Freidlin, Wenqing Hu, Alexander Wentzell
We consider the small mass asymptotic (Smoluchowski-Kramers approximation) for the Langevin equation with a variable friction coefficient. The friction coefficient is assumed to be…