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Gradient theory of phase transitions with a rapidly oscillating forcing term


Reference:

Dirr, N., Lucia, M. and Novaga, M., 2008. Gradient theory of phase transitions with a rapidly oscillating forcing term. Asymptotic Analysis, 60 (1-2), pp. 29-59.

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Official URL:

http://dx.doi.org/10.3233/ASY-2008-0897

Abstract

We consider the Gamma-limit of a family of functionals which model the interaction of a material that undergoes phase transition with a rapidly oscillating conservative vector field. These functionals consist of a gradient term, a double-well potential and a vector field. The scaling is such that all three terms scale in the same way and the frequency of the vector field is equal to the interface thickness. Difficulties arise from the fact that the two global minimizers of the functionals are nonconstant and converge only in the weak L-2-topology.

Details

Item Type Articles
CreatorsDirr, N., Lucia, M. and Novaga, M.
DOI10.3233/ASY-2008-0897
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code12320

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