5 papers · 1 filter
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…
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…
Core shells and double bubbles in a weighted nonlocal isoperimetric problem
Stanley Alama, Lia Bronsard, Xinyang Lu +1
We consider a sharp-interface model of triblock copolymers, for which the surface tension across the interface separating phase from phase may depend on the…
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…
Regularity and monotonicity for solutions to a continuum model of epitaxial growth with nonlocal elastic effects
Yuan Gao, Xin Yang Lu, Chong Wang
We study a nonlocal 4th order degenerate equation deriving from the epitaxial growth on crystalline materials. We first prove the global existence of evolution variational inequali…