Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium

Matteo Cozzi; Enrico Valdinoci

doi:10.5802/jep.45

Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium

Matteo Cozzi, Enrico Valdinoci

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We consider a non-local phase transition equation set in a periodic medium and we construct solutions whose interface stays in a slab of prescribed direction and universal width. The solutions constructed also enjoy a local minimality property with respect to a suitable non-local energy functional.

Original language	English
Pages (from-to)	337-388
Number of pages	52
Journal	Journal de l'Ecole Polytechnique - Mathematiques
Volume	4
DOIs	https://doi.org/10.5802/jep.45
Publication status	Published - 2017
Externally published	Yes

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title = "Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium",

abstract = "We consider a non-local phase transition equation set in a periodic medium and we construct solutions whose interface stays in a slab of prescribed direction and universal width. The solutions constructed also enjoy a local minimality property with respect to a suitable non-local energy functional.",

author = "Matteo Cozzi and Enrico Valdinoci",

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AU - Valdinoci, Enrico

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N2 - We consider a non-local phase transition equation set in a periodic medium and we construct solutions whose interface stays in a slab of prescribed direction and universal width. The solutions constructed also enjoy a local minimality property with respect to a suitable non-local energy functional.

AB - We consider a non-local phase transition equation set in a periodic medium and we construct solutions whose interface stays in a slab of prescribed direction and universal width. The solutions constructed also enjoy a local minimality property with respect to a suitable non-local energy functional.

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DO - 10.5802/jep.45

M3 - Article

VL - 4

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EP - 388

JO - Journal de l'Ecole Polytechnique - Mathematiques

JF - Journal de l'Ecole Polytechnique - Mathematiques

SN - 2429-7100

ER -

Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium

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