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An example in the gradient theory of phase transitions
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- المؤلفون: De Lellis, C
- المصدر:
De Lellis, C (2002). An example in the gradient theory of phase transitions. ESAIM: Control, Optimisation and Calculus of Variations, 7:285-289 (electronic).
- الموضوع:
- نوع التسجيلة:
article in journal/newspaper
- اللغة:
English
- معلومة اضافية
- بيانات النشر:
EDP Sciences
- الموضوع:
2002
- Collection:
University of Zurich (UZH): ZORA (Zurich Open Repository and Archive
- نبذة مختصرة :
We prove by giving an example that when n ≥ 3 the asymptotic behavior of functionals ∫Ω[ε|∇2u|2+(1−|∇u|2)2/ε] is quite different with respect to the planar case. In particular we show that the one-dimensional ansatz due to Aviles and Giga in the planar case (see Aviles and Giga 1987) is no longer true in higher dimensions.
- File Description:
application/pdf
- ISSN:
1262-3377
- Relation:
https://www.zora.uzh.ch/id/eprint/21960/1/cocvVol7-12.pdf; urn:issn:1262-3377
- الرقم المعرف:
10.5167/uzh-21960
- الرقم المعرف:
10.1051/cocv:2002012
- Rights:
info:eu-repo/semantics/openAccess
- الرقم المعرف:
edsbas.7F7486B4
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