### Rita Ferreira

I am a Research Scientist in the Computer, Electrical and Mathematical Sciences & Engineering Division (CEMSE) of King Abdullah University of Science and Technology (KAUST). I am a member of Prof. Diogo Gomes's Group Non-linear PDEs & Viscosity Solutions Research Group @ KAUST.

### Research

My research activities intersect applied and pure mathematics, and are driven by applications to physical and socio-economic sciences and engineering. My domain of specialization is based on variational and asymptotic techniques to study systems of PDEs and minimization problems arising in problems within mean-field games, material sciences, propagation of waves, and imaging.

### Publications

Papers published in scientific international journals with peer reviewing

1. R. Ferreira, D. gomes, and T. Tada
Existence of weak solutions to first-order stationary mean-field games with Dirichlet conditions. To appear in Proc. Amer. Math. Soc., 2019.
2. R. Ferreira, P. Hästö, and A. Ribeiro
Characterization of generalized Orlicz spaces. To appear in Communications in Contemporary Mathematics, 2018.
3. R. Ferreira and D. Gomes
Existence of Weak Solutions to Stationary Mean-Field Games through Variational Inequalities. SIAM J. Math. Anal., 50(6), 5969--6006 (2018).

4. D. Evangelista, R. Ferreira, D. Gomes, L. Nurbekyan, V. Voskanyan
First-order, stationary mean-field games with congestion. Nonlinear Anal. 173, 37--74 (2018).

5. R. Ferreira, I. Fonseca, and M.L. Mascarenhas
A chromaticity-brightness model for color images denoising in a Meyer's "u + v'' framework. Calc. Var. Partial Differential Equations 56, no. 5, Art. 140, 53 pp (2017).

6. N. Almulla, R. Ferreira, and D. Gomes
Two numerical approaches to stationary mean-field games. Dyn. Games Appl. 7, no. 4, 657--682 (2017).

7. N. Almayouf, E. Bachini, A. Chapouto, R. Ferreira, D. Gomes, D. Jordão, D. E. Junior, A. Karagulyan, J. Monasterio, L. Nurbekyan, G. Pagliar, M. Piccirilli, S. Pratapsi, M. Prazeres, J. Reis, A. Rodrigues, O. Romero, M. Sargsyan, T. Seneci, C. Song, K. Terai, R. Tomisaki, H. Velasco-Perez, V. Voskanyan, and X. Yang
Existence of positive solutions for an approximation of stationary mean-field games. Involve 10, no. 3, 473-493 (2017).

8. R. Ferreira, M.L. Mascarenhas, and A. Piatnitski
Spectral analysis in thin tubes with axial heterogeneities. Port. Math. 72, no. 2, 247-266 (2015).

9. R. Ferreira, C. Kreisbeck, and A.M. Ribeiro
Characterization of polynomials and higher-order Sobolev spaces in terms of functionals involving difference quotients. Nonlinear Anal. 112, 199-214 (2015).

10. R. Ferreira and D. Gomes
On the convergence of finite state mean-field games through Γ-convergence. J. Math. Anal. Appl. 418, no. 1, 211-230 (2014).

11. R. Ferreira and I. Fonseca
Reiterated Homogenization in BV via Multiscale Convergence. SIAM J. Math. Anal. 44 , no. 3, 2053-2098 (2012).

12. 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).

13. 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).

14. 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).

Papers submitted to scientific international journals with peer reviewing

15. R. Ferreira and E. Zappale
Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity. Submitted, 2018.

16. E. Davoli, R. Ferreira, and C. Kreisbeck
Homogenization in BV of a model for layered composites in finite crystal plasticity. Submitted, 2019.

Theses

17. R. Ferreira
Spectral and Homogenization Problems. Ph.D. Thesis Dissertation, Carnegie Mellon University and Universidade Nova de Lisboa, Pittsburgh and Lisbon, 2011.

18. 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.