Showing math.APShow all
3 papers · 1 filter
math.AP2025
Decorated phases in triblock copolymers: zeroth- and first-order analysis
Stanley Alama, Lia Bronsard, Xinyang Lu +1
We study a two-dimensional inhibitory ternary system characterized by a free energy functional which combines an interface short-range interaction energy promoting micro-domain gro…
math.AP2024
An Ohta-Kawasaki Model set on the space
Lorena Aguirre Salazar, Xin Yang Lu, Jun-cheng Wei
We examine a non-local diffuse interface energy with Coulomb repulsion in three dimensions inspired by the Thomas-Fermi-Dirac-von Weizsäcker, and the Ohta-Kawasaki models. We consi…
math.AP2022
Uniform bound on the number of partitions for optimal configurations of the Ohta-Kawasaki energy in 3D
Xin Yang Lu, Jun-cheng Wei
We study a 3D ternary system derived as a sharp-interface limit of the Nakazawa-Ohta density functional theory of triblock copolymers, which combines an interface energy with a lon…