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Record Nr. |
UNINA9910796038003321 |
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Autore |
E Weinan <1963-> |
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Titolo |
The Kohn-Sham equation for deformed crystals / / Weinan E, Jianfeng Lu |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2012 |
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©2012 |
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ISBN |
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Descrizione fisica |
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1 online resource (97 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 221, Number 1040 |
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Disciplina |
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Soggetti |
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Dislocations in crystals - Mathematical models |
Deformations (Mechanics) - Mathematical models |
Density functionals |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 2013, Volume 221, Number 1040 (fourth of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Perfect crystal""; ""Chapter 3. Stability condition""; ""Chapter 4. Homogeneously deformed crystal""; ""Chapter 5. Deformed crystal and the extended Cauchy-Born rule""; ""Chapter 6. The linearized Kohn-Sham operator""; ""1. From density to potential: Uniform estimates of the operator""; ""Chapter 7. Proof of the results for the homogeneously deformed crystal""; ""Chapter 8. Exponential decay of the resolvent""; ""Chapter 9. Asymptotic analysis of the Kohn-Sham equation"" |
""Chapter 10. Higher order approximate solution to the Kohn-Sham equation""""Chapter 11. Proofs of Lemmas 5.3 and 5.4""; ""Appendix A. Proofs of Lemmas 9.3 and 9.9""; ""Acknowledgement""; ""Bibliography"" |
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