most citedThe sharp interface limit of a Navier--Stokes/Allen--Cahn system with constant mobility: Convergence rates by a relative energy approach

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math.AP2022★ 1 cited

The sharp interface limit of a Navier--Stokes/Allen--Cahn system with constant mobility: Convergence rates by a relative energy approach

Sebastian Hensel, Yuning Liu

We investigate the sharp interface limit of a diffuse interface system that couples the Allen--Cahn equation with the instationary Navier--Stokes system in a bounded domain in $\ma…

math.AP2021

Weak-strong uniqueness for the Navier-Stokes equation for two fluids with ninety degree contact angle and same viscosities

Sebastian Hensel, Alice Marveggio

We consider the flow of two viscous and incompressible fluids within a bounded domain modeled by means of a two-phase Navier-Stokes system. The two fluids are assumed to be immisci…