activity
20172026
most citedGround-states for the liquid drop and TFDW models with long-range attraction

9 citations · 9 across the 6 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.AP2018

Anisotropic liquid drop models

Rustum Choksi, Robin Neumayer, Ihsan Topaloglu

We introduce and study certain variants of Gamow's liquid drop model in which an anisotropic surface energy replaces the perimeter. After existence and nonexistence results are est…

math.AP2018

Aggregation-Diffusion to Constrained Interaction: Minimizers & Gradient Flows in the Slow Diffusion Limit

Katy Craig, Ihsan Topaloglu

Inspired by recent work on minimizers and gradient flows of constrained interaction energies, we prove that these energies arise as the slow diffusion limit of well-known aggregati…