Gradient theory of phase transitions with a rapidly oscillating forcing term

Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367, Marcello, Lucia and Matteo, Novaga 2008. Gradient theory of phase transitions with a rapidly oscillating forcing term. Asymptotic Analysis 60 (1-2) , pp. 29-59. 10.3233/ASY-2008-0897

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Phase transitions; Homogenization; Γ-convergence
Publisher:	IOS Press
ISSN:	0921-7134
Last Modified:	18 Oct 2022 13:13
URI:	https://orca.cardiff.ac.uk/id/eprint/13075

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