Asymptotics for two-dimensional vectorial Allen-Cahn systems

23 Mar 2020 Bethuel Fabrice

The formation of codimension-one interfaces for multi-well gradient-driven problems is well-known and established in the scalar case, where the equation is often referred to as the Allen-Cahn equation. The proofs rely for a large on a monotonicity formula for the energy density, which is itself related to the vanishing of the so-called discrepancy function... (read more)

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