148 citations
- Saha Institute of Nuclear PhysicsIN14 papers
- University of RichmondUS10 papers
- Variable Energy Cyclotron CentreIN10 papers
- Virginia TechUS6 papers
- University of CincinnatiUS5 papers
- University of VirginiaUS5 papers
- University of MichiganUS4 papers
- CEA Paris-SaclayFR3 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR3 papers
- Florida State UniversityUS3 papers
- Georgetown UniversityUS3 papers
4 papers · 1 filter
Particle approximation of nonlocal interaction energies
Davide Carazzato, Aldo Pratelli, Ihsan Topaloglu
We consider Riesz-type nonlocal energies with general interaction kernels and their discretizations related to particle systems. We prove that the discretized energies -converge…
Stability and minimality of the ball for attractive-repulsive energies with perimeter penalization
Marco Bonacini, Ihsan Topaloglu
We consider perimeter perturbations of a class of attractive-repulsive energies, given by the sum of two nonlocal interactions with power-law kernels, defined over sets with fixed…
A stability inequality for the planar lens partition
Marco Bonacini, Riccardo Cristoferi, Ihsan Topaloglu
Recently it has been shown that the unique locally perimeter minimizing partitioning of the plane into three regions, where one region has finite area and the other two have infini…
Ground-states for the liquid drop and TFDW models with long-range attraction
Stan Alama, Lia Bronsard, Rustum Choksi +1
We prove that both the liquid drop model in with an attractive background nucleus and the Thomas-Fermi-Dirac-von Weizsäcker (TFDW) model attain their ground-states \…