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arXiv · 2401.03120

An Ohta-Kawasaki Model set on the space

Lorena Aguirre Salazar·Xin Yang Lu·Jun-cheng Wei
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Abstract

We examine a non-local diffuse interface energy with Coulomb repulsion in three dimensions inspired by the Thomas-Fermi-Dirac-von Weizs\"{a}cker, and the Ohta-Kawasaki models. We consider the corresponding mass-constrained variational problem and show the existence of minimizers for small masses, and the absence of minimizers for large masses.

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Lorena Aguirre Salazar, Xin Yang Lu, Jun-cheng Wei. 2024-01-06. An Ohta-Kawasaki Model set on the space. https://arxiv.org/abs/2401.03120

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