Construction of entropy solutions for one dimensional elastodynamics via time discretisation

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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
Issue number6
StatePublished - Nov 2000
Externally publishedYes

Bibliographical note

Funding Information:
This research was commenced in IHES and Ecole Polytechnique, Paris and concluded in FORTH, Crete; we thank these institutions for their support. S. Demoulini was partially supported by TMR Marie Curie grant ERBFMBICT972343. D. Stuart was partially supported by NSF grants 9304580 and 9623463 and EPSRC AF/98/2492. A. Tzavaras was partially supported by NSF grant DMS-9971934, ONR grant N00014-93-1-0015 and the TMR project HCL grant ERBFMRXCT960033.

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics


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