3 papers
cs.CV2022
Aztec curve: proposal for a new space-filling curve
Diego Ayala, Daniel Durini, Jose Rangel-Magdaleno
Different space-filling curves (SFCs) are briefly reviewed in this paper, and a new one is proposed. A century has passed between the inception of this kind of curves, since then t…
physics.flu-dyn2017
Maximum palinstrophy amplification in the two-dimensional Navier-Stokes equations
Diego A. Ayala, Charles R. Doering, Thilo M. Simon
We derive and assess the sharpness of analytic upper bounds for the instantaneous growth rate and finite-time amplification of palinstrophy in solutions of the two-dimensional inco…
physics.flu-dyn2016
Extreme Vortex States and the Growth of Enstrophy in 3D Incompressible Flows
Diego Ayala, Bartosz Protas
In this investigation we study extreme vortex states defined as incompressible velocity fields with prescribed enstrophy which maximize the instantaneous rate of gr…