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

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.

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Marian Bocea
Department of Mathematics
300 Minard Hall, North Dakota State University
Fargo, ND 58105-5075, USA
email: marian.bocea@ndsu.edu

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