Matrix-valued Allen-Cahn equation and the Keller-Rubinstein-Sternberg problem

Mingwen Fei, Fanghua Lin, Wei Wang +1

In this paper, we consider the sharp interface limit of a matrix-valued Allen-Cahn equation, which takes the form: $$\partial_t A=ΔA-\varepsilon^{-2}( A A^{\mathrm{T}}A- A)~~\text{…