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math.AP2025
The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions
Xingyu Wang
This work investigates the vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions. We establish local-in-time convergenc…
math.AP2025
Phase Transition for Potentials of High-Dimensional Wells with a Mass-Type Constraint
Xingyu Wang, Yaguang Wang
Inspired by Lin-Pan-Wang (Comm. Pure Appl. Math., 65(6): 833-888, 2012), we continue to study the corresponding time-independent case of the Keller-Rubinstein-Sternberg problem. To…