The ellipse law: Kirchhoff meets dislocations

DOI10.1007/s00220-019-03368-wOpenAlexW2609543108WikidataQ114852518 ScholiaQ114852518MaRDI QIDQ2291560

Joan Mateu, Joan Verdera, Maria Giovanna Mora, Luca Rondi, Lucia Scardia, José Antonio Carrillo

Publication date: 31 January 2020

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

Full work available at URL: https://arxiv.org/abs/1703.07013

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Applications of dynamical systems (37Nxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) Mathematical biology in general (92Bxx)

Related Items (14)

A maximum-principle approach to the minimisation of a nonlocal dislocation energy ⋮ Global minimisers for anisotropic attractive–repulsive interactions ⋮ Elasto-plastic evolution of single crystals driven by dislocation flow ⋮ Explicit minimisers for anisotropic Coulomb energies in 3D ⋮ Energy minimisers of perturbed dislocation energies ⋮ 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 ⋮ Classifying minimum energy states for interacting particles: regular simplices ⋮ Variational methods for the modelling of inelastic solids. Abstracts from the workshop held February 4--10, 2018 ⋮ The equilibrium measure for an anisotropic nonlocal energy ⋮ Symmetry in stationary and uniformly rotating solutions of active scalar equations ⋮ Explicit minimizers of some non-local anisotropic energies: a short proof ⋮ Equilibrium measure for a nonlocal dislocation energy with physical confinement ⋮ From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials

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