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math.AP2015
Bounded solutions to the Allen-Cahn equation with level sets of any compact topology
Alberto Enciso, Daniel Peralta-Salas
We make use of the flexibility of infinite-index solutions to the Allen-Cahn equation to show that, given any compact hypersurface of R^d, with , there is a bounded en…
math.AP2015
Knotted structures in high-energy Beltrami fields on the torus and the sphere
Alberto Enciso, Daniel Peralta-Salas, Francisco Torres de Lizaur
Let S be a finite union of (pairwise disjoint but possibly knotted and linked) closed curves and tubes in the round sphere S^3 or in the flat torus T^3. In the case of the torus, S…