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Perturbation Method for a Non-convex Integral Functional

✍ Scribed by Ivanov, M.; Zlateva, N.


Book ID
115518915
Publisher
Springer
Year
2012
Tongue
English
Weight
470 KB
Volume
157
Category
Article
ISSN
0022-3239

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Singular perturbation of a class of non-
✍ Xinwei Yu; Zhiping Li; Lung-an Ying πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 217 KB

Models involving singular perturbation to a non-convex potential energy play a very important role in describing phase transitions, e.g. the celebrated Cahn-Hillard model where a two-well potential energy functional (i.e., the potential has two zeros) is perturbed by the L 2 -norm of the gradient.