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math.AP2021
Compactness and structure of zero-states for unoriented Aviles-Giga functionals
Michael Goldman, Benoit Merlet, Marc Pegon +1
Motivated by some models of pattern formation involving an unoriented director field in the plane, we study a family of unoriented counterparts to the Aviles-Giga functional. We in…
math.AP2021★ 7 cited
Large mass rigidity for a liquid drop model in 2D with kernels of finite moments
Benoit Merlet, Marc Pegon
Motivated by Gamow's liquid drop model in the large mass regime, we consider an isoperimetric problem in which the standard perimeter is replaced by …