Kyle Liss

About Me

I am currently a postdoc in the Department of Mathematics at Duke University mentored by Tarek Elgindi and Jonathan Mattingly. Before coming to Duke, I was an ICERM postdoc at Brown University in the Fall of 2021 and completed my PhD at the University of Maryland in 2021 under the supervision of Jacob Bedrossian.

My research focuses on the analysis of stochastic systems and partial differential equations arising in the physical sciences, especially models from fluid mechanics. Topics of recent interest for me have been mixing/diffusion in passive scalar transport and the asymptotic properties of nonlinear SDEs motivated by turbulence.

Email: kyle.liss@duke.edu

Pre-prints

V. Gardner, K. Liss, & J. Mattingly, A pathwise approach to enhanced dissipation of passive scalars advected by shear flows

J. Bedrossian, A. Blumenthal, K. Callis & K. Liss, Existence of stationary measures for partially damped SDEs with generic, Euler-type nonlinearities

Publications

T. Elgindi & K. Liss, Norm growth, non-uniqueness, and anomalous dissipation in passive scalars, To appear in Archive for Rational Mechanics and Analysis

T. Elgindi, K. Liss, & J. Mattingly, Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on T^2, To appear in Duke Mathematical Journal

J. Bedrossian & K. Liss, Stationary measures for stochastic differential equations with degenerate damping, Probability Theory and Related Fields 189 (2024), 101-178

J. Bedrossian & K. Liss, Quantitative spectral gaps for hypoelliptic stochastic differential equations with small noise, Probability and Mathematical Physics 2 (2021), 477-532

K. Liss, On the Sobolev stability threshold of 3D Couette flow in a uniform magnetic field, Communications in Mathematical Physics 377 (2020), 859--908

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