Global minimisers for anisotropic attractive–repulsive interactions

DOI10.1017/S0956792519000299zbMath1504.35006OpenAlexW2946081525MaRDI QIDQ5056728

Angela Stevens, Gunnar Kaib, Kyungkeun Kang

Publication date: 8 December 2022

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792519000299

zbMATH Keywords

global minimisersanisotropic attractive-repulsive interaction

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Degenerate parabolic equations (35K65)

Cites Work

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• Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics
• Existence of ground states of nonlocal-interaction energies
• Existence of compactly supported global minimisers for the interaction energy
• Variational solutions of some nonlinear free boundary problems
• Stationary States of an Aggregation Equation with Degenerate Diffusion and Bounded Attractive Potential
• Existence of ground states for aggregation-diffusion equations
• Mass-Selection in Alignment Models with Non-Deterministic Effects

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