Oscillations in one-dimensional elasticity with surface energy

Irene Fonseca; Jack Schaeffer; Mikhail M Shvartsman

doi:10.1090/qam/1704443

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Journal article

Oscillations in one-dimensional elasticity with surface energy

Irene Fonseca, Jack Schaeffer and Mikhail M Shvartsman

Quarterly of Applied Mathematics, Vol.57(3), pp.475-499

1999

DOI: https://doi.org/10.1090/qam/1704443

Abstract

boundary conditions

convergent boundaries

dental calculus

embeddings

interpolation

partial differential equations

perceptron convergence procedure

surface energy

wave propagation

Applied Mathematics

The characterization of the oscillatory behavior of solutions of a semilinear equation in one space dimension is obtained. In this work the model equation for a material undergoing a phase transition encompasses a surface energy term and first-order memory effects.

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Title: Oscillations in one-dimensional elasticity with surface energy
Author/Creator: Irene Fonseca
Jack Schaeffer
Mikhail M Shvartsman - University of St. Thomas - Minnesota
Publication Details: Quarterly of Applied Mathematics, Vol.57(3), pp.475-499
Academic Unit: Mathematics
Language: English
Resource Type: Journal article
Record Identifier: 991015132231103691