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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-dyn2026
On the Geometry of Spreading Puddles
David Darrow
We develop a geometric model for the spreading of shallow, viscous puddles of arbitrary shape, building on the recent 'capillary current' model for axisymmetric droplets. In short,…