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physics.flu-dyn2026
From synthetic turbulence to true solutions: A deep diffusion model for discovering periodic orbits in the Navier-Stokes equations
Jeremy P Parker, Tobias M Schneider
Generative artificial intelligence has shown remarkable success in synthesizing data that mimic complex real-world systems, but its potential role in the discovery of mathematicall…
physics.flu-dyn2021★ 26 cited
Variational methods for finding periodic orbits in the incompressible Navier-Stokes equations
Jeremy P Parker, Tobias M Schneider
Unstable periodic orbits are believed to underpin the dynamics of turbulence, but by their nature are hard to find computationally. We present a family of methods to converge such…