Rita Ferreira
I am currently a Pos Doctorate at Instituto Superior Técnico, a Visiting Assistant Professor (partial time: 30%) at Faculdade de Ciências e Tecnologia, and a Member of the Centro de Matemática e Aplicações of the FCT-UNL
Research
My research interests lie in the areas of Partial Differential Equations, Continuum Mechanics, Calculus of Variations, and Homogenization. My research activities have been focused on asymptotic analysis using variational methods of dimension reduction and homogenization problems. Currently, I am also interested in the mathematical study of problems in imaging processing and in mean-field games.
Publications
- R. Ferreira, C. Kreisbeck, and A.M. Ribeiro
Characterization of polynomials and higher-order Sobolev spaces in terms of functionals involving difference quotients. To appear in Nonlinear Analysis: Theory, Methods & Applications (2014). Preprint - R. Ferreira and D. Gomes
On the convergence of finite state mean-field games through Gamma -convergence. J. Math. Anal. Appl. 418, no. 1, 211-230 (2014). Preprint - R. Ferreira and I. Fonseca
Reiterated Homogenization in BV via Multiscale Convergence, SIAM J. Math. Anal. 44 , no. 3, 2053-2098 (2012). Preprint - R. Ferreira and I. Fonseca
Characterization of the Multiscale Limit Associated with Bounded Sequences in BV , J. Convex Anal. 19, no. 2, 403-452 (2012). Preprint - R. Ferreira, M.L. Mascarenhas, and A. Piatnitski
Spectral Analysis in a Thin Domain with Periodically Oscillating Characteristics, ESAIM Control Optim. Calc. Var. 18, no. 2, 427--451 (2012). Preprint - R. Ferreira and M.L. Mascarenhas
Waves in a thin and periodically oscillating medium, C. R. Acad. Sci. Paris 346, no. 9-10, 579-584 (2008). Preprint
- R. Ferreira, M.L. Mascarenhas, and A. Piatnitski
Spectral analysis in thin tubes with axial heterogeneities. Submitted, 2014. Preprint
- R. Ferreira
Spectral and Homogenization Problems. Ph.D. Thesis Dissertation, Carnegie Mellon University and Universidade Nova de Lisboa, Pittsburgh and Lisbon, 2011. - R. Ferreira
Dimension Reduction in Nonlinear Elasticity via Gamma-Convergence. Master Thesis Dissertation, Faculdade de Ciências da Universidade de Lisboa (College of Science of the University of Lisbon), Lisbon, 2006.