Sixth Mississippi State Conference on Differential Equations and Computational Simulations.
Electron. J. Diff. Eqns., Conference 15 (2007), pp. 41-50.

Young measure minimizers in the asymptotic analysis of thin films

Marian Bocea

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.

Show me the PDF file (244K), TEX file, and other files for this article.

Marian Bocea
Department of Mathematics
300 Minard Hall, North Dakota State University
Fargo, ND 58105-5075, USA

Return to the table of contents for this conference.
Return to the EJDE web page