68 citations · 94 across the 19 of their papers we have counts for
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math.AP2015
Nonlocal Shape Optimization via Interactions of Attractive and Repulsive Potentials
Almut Burchard, Rustum Choksi, Ihsan Topaloglu
We consider a class of nonlocal shape optimization problems for sets of fixed mass where the energy functional is given by an attractive/repulsive interaction potential in power-la…
math.AP2015
Sharp interface limit of an energy modelling nanoparticle-polymer blends
Stan Alama, Lia Bronsard, Ihsan Topaloglu
We identify the -limit of a nanoparticle-polymer model as the number of particles goes to infinity and as the size of the particles and the phase transition thickness of the pol…
math.AP2015★ 1 cited
Convergence of regularized nonlocal interaction energies
Katy Craig, Ihsan Topaloglu
Inspired by numerical studies of the aggregation equation, we study the effect of regularization on nonlocal interaction energies. We consider energies defined via a repulsive-attr…