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

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math.AP2026

Uniform-in-diffusivity mixing by shear flows: stochastic and dynamical perspectives

Kyle L. Liss, Kunhui Luan

We study passive scalar mixing by parallel shear flows in the presence of weak molecular diffusion. We recover the sharp uniform-in-diffusivity mixing rate for shear flows with fin…

math.AP2026

The Batchelor spectrum for a deterministically driven passive scalar

Kyle L. Liss, Jonathan C. Mattingly

We study the long-time behavior of a passive scalar transported by an incompressible flow in the presence of smooth, deterministic forcing. For a specific spatially Lipschitz and t…

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…

Uniform-in-diffusivity mixing by shear flows: stochastic and dynamical perspectives

The Batchelor spectrum for a deterministically driven passive scalar

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 $T^{2}$