Upper bounds for a class of energies containing a non-local term

Arkady Poliakovsky

doi:10.1051/cocv/2009022

Upper bounds for a class of energies containing a non-local term

Arkady Poliakovsky

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

3 Scopus citations

Abstract

In this paper we construct upper bounds for families of functionals of the form (Equation presented) where Δ H_u = div {χΩu}. Particular cases of such functionals arise in Micromagnetics. We also use our technique to construct upper bounds for functionals that appear in a variational formulation of the method of vanishing viscosity for conservation laws.

Original language	English
Pages (from-to)	856-886
Number of pages	31
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	16
Issue number	4
DOIs	https://doi.org/10.1051/cocv/2009022
State	Published - 1 Oct 2010
Externally published	Yes

Keywords

Gamma-convergence
Micromagnetics
Non-local energy

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Computational Mathematics

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10.1051/cocv/2009022

Cite this

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AB - In this paper we construct upper bounds for families of functionals of the form (Equation presented) where Δ Hu = div {χΩu}. Particular cases of such functionals arise in Micromagnetics. We also use our technique to construct upper bounds for functionals that appear in a variational formulation of the method of vanishing viscosity for conservation laws.

KW - Gamma-convergence

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KW - Non-local energy

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U2 - 10.1051/cocv/2009022

DO - 10.1051/cocv/2009022

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SN - 1292-8119

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JO - ESAIM - Control, Optimisation and Calculus of Variations

JF - ESAIM - Control, Optimisation and Calculus of Variations

IS - 4

ER -

Upper bounds for a class of energies containing a non-local term

Abstract

Keywords

ASJC Scopus subject areas

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