3 papers
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-dyn2025
Local and global bifurcations to large-scale oblique patterns in inclined layer convection
Zheng Zheng, Sajjad Azimi, Florian Reetz +1
In the inclined layer convection system, thermal convection in a Rayleigh--Bénard cell tilted against gravity, the flow is subject to competing buoyancy and shear forces. For vary…
physics.flu-dyn2025
Natural convection in a vertical channel. Part 3. Bifurcations of many (additional) unstable periodic orbits and their dynamical relevance
Zheng Zheng, Laurette S. Tuckerman, Tobias M. Schneider
Vertical thermal convection system exhibits weak turbulence and spatio-temporally chaotic behaviour. In this system, we report seven equilibria and 26 periodic orbits, all new and…