26 citations · 67 across the 5 of their papers we have counts for
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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…
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…
Vortices, Maximum Growth and the Problem of Finite-Time Singularity Formation
Diego Ayala, Bartosz Protas
In this work we are interested in extreme vortex states leading to the maximum possible growth of palinstrophy in 2D viscous incompressible flows on periodic domains. This study is…
Maximum Palinstrophy Growth in 2D Incompressible Flows
Diego Ayala, Bartosz Protas
In this study we investigate vortex structures which lead to the maximum possible growth of palinstrophy in two-dimensional incompressible flows on a periodic domain. The issue of…