Margarida Baia, Departamento de Matematica, Instituto Superior Tecnico
"Characterization of Two-Scale Young-Measures and Applications"
This work is devoted to the study of two-scale gradient Young measures naturally arising in nonlinear elasticity homogenization problems. Precisely, a characterization of this class of measures is derived and an integral representation formula for homogenized energies, whose integrands satisfy very weak regularity assumptions, is obtained in terms of two-scale gradient Young measures. An analysis of concentrations effects will be also presented.
(Joint work with Jean-François Babadjian and Pedro Santos.)
TUESDAY, OCTOBER 23, 2007