35 citations · 138 across the 27 of their papers we have counts for
36 papers
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…
On a Quaternary Non-Local Isoperimetric Problem
Stanley Alama, Lia Bronsard, Xinyang Lu +1
We study a two-dimensional quaternary inhibitory system. This free energy functional combines an interface energy favoring micro-domain growth with a Coulomb-type long range intera…
The standard lens cluster in R^2 uniquely minimizes relative perimeter
Stan Alama, Lia Bronsard, Silas Vriend
In this article we consider the isoperimetric problem for partitioning the plane into three disjoint domains, one having unit area and the remaining two having infinite area. We sh…
-Convergence of the Ginzburg-Landau Functional with tangential boundary conditions
Stan Alama, Lia Bronsard, Andrew Colinet
A classical result in the study of Ginzburg-Landau equations is that, for Dirichlet or Neumann boundary conditions, if a sequence of functions has energy uniformly bounded on a log…
On a Free-Endpoint Isoperimetric Problem in
Stanley Alama, Lia Bronsard, Silas Vriend
Inspired by a planar partitioning problem involving multiple improper chambers, this article investigates using classical techniques what can be said of the existence, uniqueness,…
On minimizers of the 2D Ginzburg-Landau energy with tangential anchoring
Stan Alama, Lia Bronsard, Lee van Brussel
We analyze Ginzburg--Landau minimization problems in two dimensions with either a strong or weak" tangential boundary condition. These problems are motivated by experiments in liqu…