Ground-states for the liquid drop and TFDW models with long-range attraction

DOI10.1063/1.4999495zbMath1374.76036arXiv1707.06674OpenAlexW2738525707MaRDI QIDQ4592886

Lia Bronsard, Ihsan Topaloglu, Stanley Alama, Rustum Choksi

Publication date: 9 November 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06674

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (7)

Large Volume Minimizers of a Nonlocal Isoperimetric Problem: Theoretical and Numerical Approaches ⋮ Mass splitting in the Thomas–Fermi–Dirac–von Weizsäcker model with background potential ⋮ Droplet breakup in the liquid drop model with background potential ⋮ On an isoperimetric problem with power-law potentials and external attraction ⋮ Large mass minimizers for isoperimetric problems with integrable nonlocal potentials ⋮ Large mass rigidity for a liquid drop model in 2D with kernels of finite moments ⋮ Convergence of the TFDW Energy to the Liquid Drop Model

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