|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910828125803321 |
|
|
Autore |
E Weinan <1963-> |
|
|
Titolo |
The Kohn-Sham equation for deformed crystals / / Weinan E, Jianfeng Lu |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 2012 |
|
©2012 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (97 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 221, Number 1040 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Dislocations in crystals - Mathematical models |
Deformations (Mechanics) - Mathematical models |
Density functionals |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
"January 2013, Volume 221, Number 1040 (fourth of 5 numbers)." |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
""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"" |
|
|
|
|
|
|
|