17 citations · 79 across the 23 of their papers we have counts for
4 papers · 1 filter
An oscillator driven by algebraically decorrelating noise
Christophe Gomez, Gautam Iyer, Hai Le +1
We consider a stochastically forced nonlinear oscillator driven by a stationary Gaussian noise that has an algebraically decaying covariance function. It is well known that such no…
A Stochastic Lagrangian particle system for the Navier-Stokes equations
Alexei Novikov, Karim Shikh Khalil
This work is based on a formulation of the incompressible Navier-Stokes equations developed by P. Constantin and G.Iyer, where the velocity field of a viscous incompressible fluid…
A fractional kinetic process describing the intermediate time behaviour of cellular flows
Martin Hairer, Gautam Iyer, Leonid Koralov +2
This paper studies the intermediate time behaviour of a small random perturbation of a periodic cellular flow. Our main result shows that on time scales shorter than the diffusive…
The regularizing effects of resetting in a particle system for the Burgers equation
Gautam Iyer, Alexei Novikov
We study the dissipation mechanism of a stochastic particle system for the Burgers equation. The velocity field of the viscous Burgers and Navier-Stokes equations can be expressed…