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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.AP2016★ 3 cited
Sharp Interface Limit for a Stokes/Allen-Cahn System
Helmut Abels, YuNing Liu
We consider the sharp interface limit of a coupled Stokes/Allen-Cahn system, when a parameter that is proportional to the thickness of the diffuse interface tends t…
math.AP2012
Unique Continuation and Observability Estimates for 2-D Stokes Equations with the Navier Slip Boundary Condition
Yuning Liu, Can Zhang
This paper presents a unique continuation estimate for 2-D Stokes equations with the Naiver slip boundary condition in a bounded and simply connected domain. Consequently, an obser…