The vector-valued Allen-Cahn equation with Robin boundary conditions converges locally in time to mean curvature flow with contact angle, and the limits solve harmonic heat flow and a minimal pair condition.
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The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions
The vector-valued Allen-Cahn equation with Robin boundary conditions converges locally in time to mean curvature flow with contact angle, and the limits solve harmonic heat flow and a minimal pair condition.