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Thesis

Stability and regularity of defects in crystalline solids

Abstract:

This thesis is devoted to the mathematical analysis of models describing the energy of defects in crystalline solids via variational methods.

The first part of this work studies a discrete model describing the energy of a point defect in a one dimensional chain of atoms. We derive an expansion of the ground state energy using Gamma-convergence, following previous work on similar models [BDMG99,BC07,SSZ11]. The main novelty here is an explicit characterisation of the first order limi...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
OxPDE
Oxford college:
Merton College
Role:
Author

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Role:
Supervisor
Role:
Supervisor
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Funding agency for:
Hudson, T
Grant:
EP/EO35027/1
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK

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