A model for dislocations in epitaxially strained elastic films
Irene Fonseca, Nicola Fusco, Giovanni Leoni, Massimiliano Morini
TL;DR
This paper develops a variational model for epitaxially strained elastic films that includes dislocations, analyzing the existence, regularity, and qualitative properties of solutions to better understand their behavior.
Contribution
It introduces a novel variational framework incorporating dislocations in epitaxial films, advancing the mathematical understanding of their properties.
Findings
Existence of solutions established
Regularity properties analyzed
Qualitative behavior of dislocations studied
Abstract
A variational model for epitaxially strained films accounting for the presence of dislocations is considered. Existence, regularity and some qualitative properties of solutions are addressed.
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