Minimizers of 3D anisotropic interaction energies

DOI10.1515/ACV-2022-0059MaRDI QIDQ6566014

Ruiwen Shu, Jose Antonio Carrillo

Publication date: 3 July 2024

Published in: Advances in the Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

Could not fetch data.

Mathematics Subject Classification ID

Existence theories in calculus of variations and optimal control (49J99) Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Regularity of local minimizers of the interaction energy via obstacle problems
• Dimensionality of local minimizers of the interaction energy
• Explicit equilibrium solutions for the aggregation equation with power-law potentials
• The equilibrium measure for an anisotropic nonlocal energy
• Minimizers for a one-dimensional interaction energy
• Uniqueness and radial symmetry of minimizers for a nonlocal variational problem
• From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials
• A maximum-principle approach to the minimisation of a nonlocal dislocation energy
• The ellipse law: Kirchhoff meets dislocations
• Asymptotic behaviour of a porous medium equation with fractional diffusion
• Classifying minimum energy states for interacting particles: regular simplices
• Thomas-fermi and related theories of atoms and molecules
• The Equilibrium Measure for a Nonlocal Dislocation Energy
• Explicit minimizers of some non-local anisotropic energies: a short proof
• Classifying Minimum Energy States for Interacting Particles: Spherical Shells
• Stability of Ellipsoids as the Energy Minimizers of Perturbed Coulomb Energies
• Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D

Related Items (1)

Shape optimization for nonlocal anisotropic energies

This page was built for publication: Minimizers of 3D anisotropic interaction energies

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6566014)