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math.AP2026
A Liouville theorem for the two-dimensional stationary hypodissipative Navier--Stokes system
Nicola De Nitti, Lukas Niebel, Jiaqi Yang
We study the two-dimensional stationary incompressible Navier--Stokes equations on with fractional dissipation . In the full range , we prove tha…
math.AP2026
Pure-swirl loss of boundedness under forcing: exact mixed-norm ranges
Hugo Beirão da Veiga, Jiaqi Yang
We construct an explicit pure-swirl solution of the forced three-dimensional Navier--Stokes equations in a circular cylinder. For every and with …