Preprint
Sep 2026
On the linearised force balance condition in the analysis of atomistic dislocation models
A technical condition arising in the analysis of atomistic models for dislocations is studied. Key estimates for the far-field strain behaviour proved in Ehrlacher, Ortner, Shapeev (2016) rely on a summation-by-parts argument for linearised forces, under conditions of sufficient decay and of vanishing net force in an i...
J. Braun, Thomas Hudson
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