Equi-integrability results for 3D-2D dimension reduction problems
Department of Mathematical Sciences,
Carnegie Mellon University, Pittsburgh, PA 15213, USA; email@example.com.
3D-2D asymptotic analysis for thin structures rests on the mastery of scaled gradients bounded in Here it is shown that, up to a subsequence, may be decomposed as where carries all the concentration effects, i.e. is equi-integrable, and captures the oscillatory behavior, i.e. in measure. In addition, if is a recovering sequence then nearby
Mathematics Subject Classification: 49J45 / 74B20 / 74G10 / 74K15 / 74K35
Key words: Equi-integrability / dimension reduction / lower semicontinuity / maximal function / oscillations / concentrations / quasiconvexity.
© EDP Sciences, SMAI, 2002