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.
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container_title Quarterly of applied mathematics
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creator FONSECA, IRENE
SCHAEFFER, JACK
SHVARTSMAN, MIKHAIL M.
description 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.
doi_str_mv 10.1090/qam/1704443
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source American Mathematical Society Publications (Freely Accessible); JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; American Mathematical Society Journals; EZB-FREE-00999 freely available EZB journals
subjects Boundary conditions
Convergent boundaries
Dental calculus
Embeddings
Interpolation
Partial differential equations
Perceptron convergence procedure
Surface energy
Wave propagation
title OSCILLATIONS IN ONE-DIMENSIONAL ELASTICITY WITH SURFACE ENERGY
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