Preprint 62/2000

Young measure solutions for nonconvex elastodynamics

Marc Oliver Rieger

Contact the author: Please use for correspondence this email.
Submission date: 14. Oct. 2000
Pages: 20
published in: SIAM journal on mathematical analysis, 34 (2003) 6, p. 1380-1398 (electronic) 
DOI number (of the published article): 10.1137/S0036141001392141
Download full preprint: PDF (376 kB), PS ziped (172 kB)

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.

21.02.2013, 01:40