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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
62/2000

Young measure solutions for nonconvex elastodynamics

Marc Oliver Rieger

Abstract

In this paper we study the nonlinear equation of elastodynamics where the free energy functional is allowed to be nonconvex. We define the notion of Young measure solutions for this problem and prove an existence theorem in this class. This can be used as a model for the evolution of microstructures in crystals.
We furthermore introduce an optional coupling with a parabolic equation and prove existence of a Young measure solution for this system.

Received:
Oct 14, 2000
Published:
Oct 14, 2000

Related publications

inJournal
2003 Repository Open Access
Marc Oliver Rieger

Young measure solutions for nonconvex elastodynamics

In: SIAM journal on mathematical analysis, 34 (2003) 6, 1380-1398 (electronic)