Construction of entropy solutions for one dimensional elastodynamics via time discretisation

Sophia Demoulini*, David M.A. Stuart, Athanasios Tzavaras

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

It is shown that the variational approximation scheme for one-dimensional elastodynamics given by time discretisation converges, subsequentially, weakly and a.e. to a weak solution which satisfies the entropy inequalities. We also prove convergence under the restriction of positive spatial derivative (for longitudinal motions).

Original languageEnglish (US)
Pages (from-to)711-731
Number of pages21
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume17
Issue number6
DOIs
StatePublished - Jan 1 2000

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

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