35 citations · 138 across the 26 of their papers we have counts for
35 papers
The Liquid Drop Model with a Yukawa Potential: Existence of Minimizers and Sharp Stability of the Ball
Lia Bronsard, Kenneth DeMason, Ihsan Topaloglu
We study a long-range perturbation of the perimeter functional by a nonlocal repulsive term defined through the Yukawa kernel, minimized under a volume constraint. Because the kern…
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,…