On local uniqueness in nonlinear elastodynamics

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Abstract

A conservation law, derived from properties of the energy-momentum tensor, is used to establish uniqueness of suitably constrained solutions to the initial boundary value problem of nonlinear elastodynamics. It is assumed that the region is star-shaped, that the data are affine, and that the strain-energy function is strictly rank-one convex and quasi-convex. It is shown how these assumptions may be successively relaxed provided that the class of considered solutions is correspondingly further constrained. © 2006 Brown University.

Original languageEnglish
Pages (from-to)321-333
Number of pages13
JournalQuarterly of Applied Mathematics
Volume64
Issue number2
Publication statusPublished - Jun 2006

Keywords

  • Constrained solutions
  • Nonlinear elastodynamics
  • Uniqueness

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