A simple model for phase transitions: from the discrete to the continuum problem

Pagano, S.; Paroni, R.

doi:10.1090/qam/1955225

Authors: S. Pagano and R. Paroni
Journal: Quart. Appl. Math. 61 (2003), 89-109
MSC: Primary 74N15; Secondary 49J45, 74G65, 82C26
DOI: https://doi.org/10.1090/qam/1955225
MathSciNet review: MR1955225
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Abstract: In this paper we study a one-dimensional model simulating the shear in a two-dimensional body. We analyse the discrete system and we deduce the continuum limit of the lattice model as the lattice parameter goes to zero. Different energies are introduced and linked together.

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