Γ-limits of singular perturbation problems involving energies with non-local terms

Arkady Poliakovsky

doi:10.1016/j.jmaa.2018.01.078

Γ-limits of singular perturbation problems involving energies with non-local terms

Arkady Poliakovsky

Department of Mathematics

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

Abstract

We introduce a new method to reformulate certain classes of problems involving non-local terms as local problems. This allows us to apply the techniques developed in [24,25] to prove upper and lower bounds for problems arising in Micromagnetics and in the variational study of the Method of Vanishing Viscosity for systems of conservation laws.

Original language	English
Pages (from-to)	1010-1050
Number of pages	41
Journal	Journal of Mathematical Analysis and Applications
Volume	464
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2018.01.078
State	Published - 15 Aug 2018

Keywords

Gamma-limit
Non-locality
Singular perturbation functional

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2018.01.078

Cite this

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title = "Γ-limits of singular perturbation problems involving energies with non-local terms",

abstract = "We introduce a new method to reformulate certain classes of problems involving non-local terms as local problems. This allows us to apply the techniques developed in [24,25] to prove upper and lower bounds for problems arising in Micromagnetics and in the variational study of the Method of Vanishing Viscosity for systems of conservation laws.",

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KW - Gamma-limit

KW - Non-locality

KW - Singular perturbation functional

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ER -

Γ-limits of singular perturbation problems involving energies with non-local terms

Abstract

Keywords

ASJC Scopus subject areas

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