Asymptotics of time harmonic solutions to a thin ferroelectric model.

Aïssa, Naïma; Hamdache, Kamel

Displaying similar documents to “Asymptotics of time harmonic solutions to a thin ferroelectric model.”

Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots

Patrick Joly, Sébastien Tordeux (2006)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this article, we derive a complete mathematical analysis of a coupled 1D-2D model for 2D wave propagation in media including thin slots. Our error estimates are illustrated by numerical results.

Homogenization of thin piezoelectric perforated shells

Marius Ghergu, Georges Griso, Houari Mechkour, Bernadette Miara (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

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We rigorously establish the existence of the limit homogeneous constitutive law of a piezoelectric composite made of periodically perforated microstructures and whose reference configuration is a thin shell with fixed thickness. We deal with an extension of the Koiter shell model in which the three curvilinear coordinates of the elastic displacement field and the electric potential are coupled. By letting the size of the microstructure going to zero and by using the periodic unfolding...

Boundary layers in weak solutions of hyperbolic conservation laws. III: Vanishing relaxation limits.

Joseph, K.T., LeFloch, P.G. (2002)

Portugaliae Mathematica. Nova Série

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2D-1D dimensional reduction in a toy model for magnetoelastic interactions

Mouhcine Tilioua (2011)

Applications of Mathematics

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The paper deals with the dimensional reduction from 2D to 1D in magnetoelastic interactions. We adopt a simplified, but nontrivial model described by the Landau-Lifshitz-Gilbert equation for the magnetization field coupled to an evolution equation for the displacement. We identify the limit problem by using the so-called energy method.