3 papers
math.AP2025
The Existence of Anomalous Dissipation over Bounded Interior Domains
Ethan Dudley, Konstantina Trivisa
A prevalent feature of three-dimensional turbulence is the presence of anomalous dissipation, or that the mean rate of energy dissipation is bounded below by a positive number in t…
math.AP2023
Necessary and Sufficient Conditions for Kolmogorov's Flux Laws on and
Ethan Dudley
Necessary and sufficient conditions for the third order Kolmogorov universal scaling flux laws are derived for the stochastically forced incompressible Navier-Stokes equations on t…
math.NA2020
Monte Carlo Estimators for the Schatten p-norm of Symmetric Positive Semidefinite Matrices
Ethan Dudley, Arvind K. Saibaba, Alen Alexanderian
We present numerical methods for computing the Schatten -norm of positive semi-definite matrices. Our motivation stems from uncertainty quantification and optimal experimental d…