115 citations · 423 across the 31 of their papers we have counts for
24 papers · 1 filter
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…
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…
Bounds on the heat transfer rate via passive advection
Gautam Iyer, Truong-Son Van
In heat exchangers, an incompressible fluid is heated initially and cooled at the boundary. The goal is to transfer the heat to the boundary as efficiently as possible. In this pap…
Phase separation in the advective Cahn-Hilliard equation
Yu Feng, Yuanyuan Feng, Gautam Iyer +1
The Cahn--Hilliard equation is a classic model of phase separation in binary mixtures that exhibits spontaneous coarsening of the phases. We study the Cahn--Hilliard equation with…