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math.AP2022
Phase Transition of Parabolic Ginzburg--Landau Equation with Potentials of High-Dimensional Wells
Yuning Liu
In this work, we study the co-dimensional one interface limit and geometric motions of parabolic Ginzburg--Landau systems with potentials of high-dimensional wells. The main result…
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…