OSCILLATIONS IN ONE-DIMENSIONAL ELASTICITY WITH SURFACE ENERGY

OSCILLATIONS IN ONE-DIMENSIONAL ELASTICITY WITH SURFACE ENERGY

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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Veröffentlicht in:Quarterly of applied mathematics 1999-09, Vol.57 (3), p.475-499
Hauptverfasser: FONSECA, IRENE, SCHAEFFER, JACK, SHVARTSMAN, MIKHAIL M.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Convergent boundaries
Dental calculus
Embeddings
Interpolation
Partial differential equations
Perceptron convergence procedure
Surface energy
Wave propagation
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Beschreibung
Zusammenfassung: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.
ISSN:0033-569X
1552-4485
DOI:10.1090/qam/1704443