Stability and regularity of defects in crystalline solids
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...Expand abstract
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- Oxford University, UK
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- Hudson, T
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- Some elements of this thesis may be found in final published versions at link.springer.com, at www.siam.org, and at www.aimsciences.org.
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