Por Juliana Fernandes (Universidade Federal do Rio de Janeiro).
Por Claudia Lederman (Universidad de Buenos Aires and IMAS - CONICET).
Abstract: We present recent results on a free boundary problem for an inhomogeneous operator with nonstandard growth. This operator has been used in the modelling of electrorheological fluids and in image processing. We obtain free boundary regularity results for weak solutions and we apply these results to minimizers of suitable energy functionals.
Small data global regularity for Ericksen-Leslie's hyperbolic liquid crystal model in dimensions three
Por Lifeng Zhao (University of Science and Technology of China).
Existence and decay rates of L2 norms for a generalized semilinear dissipative equation of Boussinesq/plate type
Por Ruy Coimbra Charão (Federal University of Santa Catarina).
Por Tomas Roubicek (Czech Academy of Sciences).
Abstract: Various models at large strains will be surveyed and mathematical difficulties will be highlighted to show that a lot of fundamental problems still remain open. Nevertheless, some results are available in particular if the concept of nonsimple materials is addopted, both in the static, quasistatic, and dynamical situations.
Por Tomás Roubíček (Charles University of Prague).
Por Samuel Amstutz (Université d'Avignon).
Por Marco Caroccia (Scuola Normale Superiore dei Pisa, Italia).
Por Daniel Spector (National Chiao Tung University in Hsinchu, Taiwan).
Por Antonio Córdoba (Universidad Autónoma de Madrid).
Abstract: On his doctoral thesis about trigonometric series, Bernard Riemann introduced a notion of generalized second derivative which was relevant to prove his uniqueness theorem of trigonometric expansions. The purpose of this talk is to characterize locally minimal surfaces in terms of those generalized harmonic functions.