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physics.flu-dyn2026
Domain-filling rolls in two-dimensional fixed-flux Rayleigh-Bénard convection
Mathew D. B. Lewis, Zehan Zheng, David Goluskin
Rayleigh-Bénard convection of large horizontal extent sometimes self-organizes into domain-filling structures. In two dimensions, domain-filling rolls persist - from some but not a…
physics.flu-dyn2026
Quartic Lyapunov functions for global fluid stability
David Darrow, Elizabeth Carlson, David Goluskin
A fluid system is 'globally stable' if all initial conditions eventually converge to the same state. Since Reynolds (1895) and Orr (1907), the standard way to show global stability…
physics.flu-dyn2025
Bounds on dissipation in three-dimensional planar shear flows: reduction to two-dimensional problems
Farid Rajkotia-Zaheer, David Goluskin
Bounds on turbulent averages in shear flows can be derived from the Navier--Stokes equations by a mathematical approach called the background method. Bounds that are optimal within…