Equilibrium measure for a nonlocal dislocation energy with physical confinement

DOI10.1515/acv-2020-0076zbMath1504.31008OpenAlexW3123611652MaRDI QIDQ2086120

A. Scagliotti, Maria Giovanna Mora

Publication date: 20 October 2022

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

Full work available at URL: https://doi.org/10.1515/acv-2020-0076

zbMATH Keywords

potentialdislocationsnonlocal interaction

Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (1)

Energy minimisers of perturbed dislocation energies

Cites Work

• Unnamed Item
• The equilibrium measure for an anisotropic nonlocal energy
• A maximum-principle approach to the minimisation of a nonlocal dislocation energy
• The ellipse law: Kirchhoff meets dislocations
• Dislocation walls in crystals under single slip
• Convergence of Interaction-Driven Evolutions of Dislocations with Wasserstein Dissipation and Slip-Plane Confinement
• The Equilibrium Measure for a Nonlocal Dislocation Energy

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