Bates, Fusco, and Smyrnelis present a systematic study of entire symmetric solutions of the vector Allen-Cahn equation using a variational approach based on a mapping property of the parabolic vector Allen-Cahn equation and on a point-wise estimate for vector minimizers. The relevance of the the entire solutions to tiling of space observed in physical experiments is also discussed.
Veronica Ciocanel reports on 2018 SIAM Conference on the Life Sciences.