115 citations · 423 across the 31 of their papers we have counts for
3 papers · 1 filter
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…
Anomalous Dissipation in Passive Scalar Transport
Theodore D. Drivas, Tarek M. Elgindi, Gautam Iyer +1
We study anomalous dissipation in hydrodynamic turbulence in the context of passive scalars. Our main result produces an incompressible $C^\infty([0,T)\times \mathbb{T}^d)\cap L^1(…
Convection-Induced Singularity Suppression in the Keller-Segel and Other Non-linear PDEs
Gautam Iyer, Xiaoqian Xu, Andrej Zlatoš
In this paper we study the effect of the addition of a convective term, and of the resulting increased dissipation rate, on the growth of solutions to a general class of non-linear…