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math.AP2026
On Leonardo da Vinci's paradox
Björn Gebhard, Lukas Niebel, Christian Seis
Buoyancy points straight upward, yet in the absence of external forces, a rising air bubble may trace a spiral through the water. This phenomenon was already observed by Leonardo d…
physics.flu-dyn2026
Long-time behavior of optimal mixing in an advection-diffusion shell model
Jiajia Guo, Baole Wen, Christian Seis +1
We investigate the long-time behavior of optimal mixing in an advection-diffusion equation using a shell model framework. Our focus is on quantifying the decay of the scalar varian…
math.AP2026
Non-Existence of thick bubble rings at low Weber numbers
Yuanjiang Han, Christian Seis
We examine the existence of thick bubble rings within the framework of the free-boundary capillary Euler equations, focusing on the regime of low Weber numbers. Although spheroidal…