1 citations · 1 across the 4 of their papers we have counts for
6 papers
Residual Diffusivity for Noisy Bernoulli Maps
Gautam Iyer, James Nolen
Consider a discrete time Markov process on that makes a deterministic jump prescribed by a map , and then takes a…
Mixing in incompressible flows: transport, dissipation, and their interplay
Michele Coti Zelati, Gianluca Crippa, Gautam Iyer +1
In this survey, we address mixing from the point of view of partial differential equations, motivated by applications that arise in fluid dynamics. We give an account of optimal mi…
Using Bernoulli maps to accelerate mixing of a random walk on the torus
Gautam Iyer, Ethan Lu, James Nolen
We study the mixing time of a random walk on the torus, alternated with a Lebesgue measure preserving Bernoulli map. Without the Bernoulli map, the mixing time of the random walk a…
Global Dynamics and Photon Loss in the Kompaneets Equation
Joshua Ballew, Gautam Iyer, C. David Levermore +2
The Kompaneets equation governs dynamics of the photon energy spectrum in certain high temperature (or low density) plasmas. We prove several results concerning the long-time conve…
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…
Dynamic Cubic Instability in a 2D Q-tensor Model for Liquid Crystals
Gautam Iyer, Xiang Xu, Arghir Zarnescu
We consider a four-elastic-constant Landau-de Gennes energy characterizing nematic liquid crystal configurations described using the -tensor formalism. The energy contains a cub…