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T-junction of ferroelectric wires.

Authors :
Carbone, Luciano
Gaudiello, Antonio
Hernández-Llanos, Pedro
Source :
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). 2020, Vol. 54 Issue 5, p1429-1463. 35p.
Publication Year :
2020

Abstract

In this paper, starting from a non-convex and nonlocal 3D variational mathematical model for the electric polarization in a ferroelectric material, and using an asymptotic process based on dimensional reduction, we analyze junction phenomena for two orthogonal joined ferroelectric wires. Depending on the initial boundary conditions, we get several different limit problems, sometimes uncoupled. We point out that all the limit problems remain non-convex, but the nonlocality disappears. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
28227840
Volume :
54
Issue :
5
Database :
Academic Search Index
Journal :
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN)
Publication Type :
Academic Journal
Accession number :
145323843
Full Text :
https://doi.org/10.1051/m2an/2020001