Title
Oscillations in one-dimensional elasticity with surface energy
Department/School
Mathematics
Date
1-1-1999
Document Type
Article
Keywords
boundary conditions, convergent boundaries, dental calculus, embeddings, interpolation, partial differential equations, perceptron convergence procedure, surface energy, wave propagation
DOI
https://doi.org/10.1090/qam/1704443
Abstract
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.
Published in
Quarterly of Applied Mathematics
COinS
Citation/Other Information
Fonseca, I., Schaeffer, J. & Shvartsman, M. M. (1999). Oscillations in one-dimensional elasticity with surface energy. Quarterly of Applied Mathematics, 57(3), 475–499. https://doi.org/10.1090/qam/1704443