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math.AP2024
Local-in-time existence of strong solutions to a quasi-incompressible Cahn--Hilliard--Navier--Stokes system
Mingwen Fei, Xiang Fei, Daozhi Han +1
We analyze a quasi-incompressible Cahn--Hilliard--Navier--Stokes system (qCHNS) for two-phase flows with unmatched densities. The order parameter is the volume fraction difference…
math.AP2024
Prandtl-Batchelor flows with a point vortex on a disk
Zhi Chen, Mingwen Fei, Zhiwu Lin +1
We study steady two-dimensional incompressible Navier-Stokes flow in the unit disk in a high Reynolds number regime, driven by a localized central forcing and a nearly rigid rotati…