Sixth Mississippi State Conference on Differential Equations and
Computational Simulations.
Electronic Journal of Differential Equations,
Conference 15 (2007), pp. 41-50.
Title: Young measure minimizers in the asymptotic analysis of thin
films
Author: Marian Bocea (North Dakota State Univ., Fargo, ND, USA)
Abstract:
An integral representation for a relaxed functional
arising in the membrane theory is obtained in terms of Young
measures generated by sequences
$\{(\nabla_{\alpha}u_{\varepsilon_n } \big| \frac{1}{\varepsilon_n }
\nabla _3 u_{\varepsilon_n})\} $
of scaled gradients.
Published February 28, 2007.
Math Subject Classifications: 49J45, 74B20, 74G10, 74K15, 74K35.
Key Words: Equi-integrability; concentrations;
oscillations; relaxation; Young measure.