Abstract
In this paper, starting from a non-convex and nonlocal 3D-variational model for the electric polarization in a ferroelectric material, via an asymptotic process we obtain a rigorous 1D-variational model for a thin wire.
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Gaudiello, A., Hamdache, K. A reduced model for the polarization in a ferroelectric thin wire. Nonlinear Differ. Equ. Appl. 22, 1883–1896 (2015). https://doi.org/10.1007/s00030-015-0348-8
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DOI: https://doi.org/10.1007/s00030-015-0348-8