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Media type:
E-Article
Title:
ON LOCAL UNIQUENESS IN NONLINEAR ELASTODYNAMICS
Contributor:
KNOPS, R. J.
Published:
Brown University, 2006
Published in:
Quarterly of Applied Mathematics, 64 (2006) 2, Seite 321-333
Language:
English
ISSN:
0033-569X;
1552-4485
Origination:
Footnote:
Description:
<p>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.</p>