Γ-type estimates for the one-dimensional Allen-Cahn's action
نویسندگان
چکیده
In this paper we prove an asymptotic estimate, up to the second order included, on the behaviour of the one-dimensional Allen-Cahn’s action functionals, around a periodic function with bounded variation and taking values in {±1}. The leading term of this estimate justifies and confirms, from a variational point of view, the results of Fusco-Hale [10] and Carr-Pego [7] on the exponentially slow motion of metastable patterns coexisting at the transition temperature.
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عنوان ژورنال:
- Asymptotic Analysis
دوره 94 شماره
صفحات -
تاریخ انتشار 2015