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20142026
most citedPrandtl-Batchelor flows on a disk

11 citations · 26 across the 14 of their papers we have counts for

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Showing 2026 · math.APShow all

5 papers · 2 filters

math.AP2026

Sharp decay characterization for the Oldroyd-B system with only velocity dissipation

Zhi Chen, Mingwen Fei, Lvqiao Liu +1

We study the incompressible Oldroyd-B system on , , in the regime in which the velocity is the only dissipated quantity: the stress tensor undergoes neither rel…

math.AP2026

Stabilizing effect of a background magnetic field on the 2D damped wave-type MHD equations

Zhi Chen, Mingwen Fei, Hongxia Lin +2

The stabilizing effect of a background magnetic field on electrically conducting fluids has been rigorously established for the standard MHD equations. This paper extends this theo…

math.AP2026

Higher Order Convergence for the Sharp Interface Limit of 3D Navier--Stokes/Allen--Cahn Systems

Helmut Abels, Mingwen Fei, Yadong Liu +1

We show convergence of solutions to a Navier--Stokes/Allen--Cahn system as the interfacial thickness tends to zero for well-prepared initial data as long as the lim…

math.AP2026

Sharp decay characterization for the incompressible Oldroyd-B model in critical spaces

Zhi Chen, Mingwen Fei, Lvqiao Liu +1

This paper establishes a sharp characterization of temporal decay rates for the incompressible Oldroyd-B model in a critical framework, covering the physically relevant and m…

math.AP2026

Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential

Mingwen Fei, Xiang Fei, Yadong Liu +1

We study a thermodynamically consistent diffuse-interface model that describes the motion of two macroscopically immiscible, incompressible, and viscous Newtonian fluids with unmat…