Kyle Liss

most citedOptimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on

T^{2}

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2025

Quantitative positivity of transition densities for random perturbations of Hamiltonian systems

Shimaa Elesaely, David P. Herzog, Kyle L. Liss

We study a class of diffusion processes arising from random perturbations of conservative Hamiltonian systems. Under a set of abstract hypotheses -- including basic structural assu…

math.AP2023

Norm Growth, Non-uniqueness, and Anomalous Dissipation in Passive Scalars

Tarek M. Elgindi, Kyle Liss

We construct a divergence-free velocity field $u : [0, T] \times T^{2} \to R^{2}$ satisfying $u \in C^{\infty} ([0, T]; C^{α} (T^{2})) \forall α \in [0, 1)$ such th…

math.AP2023★ 1 cited

Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on $T^{2}$

Tarek M. Elgindi, Kyle Liss, Jonathan C. Mattingly

We consider the advection-diffusion equation on $T^{2}$ with a Lipschitz and time-periodic velocity field that alternates between two piecewise linear shear flows. We prove…

Quantitative positivity of transition densities for random perturbations of Hamiltonian systems

Norm Growth, Non-uniqueness, and Anomalous Dissipation in Passive Scalars

Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on T2

Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on $T^{2}$