115 citations · 423 across the 31 of their papers we have counts for
35 papers
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…
Speeding up Langevin Dynamics by Mixing
Alexander Christie, Yuanyuan Feng, Gautam Iyer +1
We study an overdamped Langevin equation on the -dimensional torus with stationary distribution proportional to~. When~ has multiple wells the mixing time of…
Quantifying the dissipation enhancement of cellular flows
Gautam Iyer, Hongyi Zhou
We study the dissipation enhancement by cellular flows. Previous work by Iyer, Xu, and Zlatoš produces a family of cellular flows that can enhance dissipation by an arbitrarily lar…
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…
Growth of Sobolev norms and loss of regularity in transport equations
Gianluca Crippa, Tarek Elgindi, Gautam Iyer +1
We consider transport of a passive scalar advected by an irregular divergence free vector field. Given any non-constant initial data , $d\g…