Thesis
Stability and regularity of defects in crystalline solids
- Abstract:
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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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Funding
+ Engineering and Physical Sciences Research Council
More from this funder
Funding agency for:
Hudson, T
Grant:
EP/EO35027/1
Bibliographic Details
- Publication date:
- 2014
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- Oxford University, UK
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
-
uuid:48ab1e44-f81a-4de0-b380-6fb0411bf1a9
- Local pid:
- ora:10114
- Deposit date:
- 2015-02-18
Terms of use
- Copyright holder:
- Hudson, T
- Copyright date:
- 2014
- Notes:
- 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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