# Irene Fonseca

## Kavčić-Moura University Professor of Mathematics, Director of Center for Nonlinear Analysis

**Address:**

6212 Wean Hall

Department of Mathematical Sciences

Carnegie Mellon University

5000 Forbes Avenue

Pittsburgh, PA 15213

**P:** 412-268-3615

# Education

Ph.D., University of Minnesota, Minneapolis

# Awards

- International Society for the Interaction of Mechanics and Mathematics Senior Prize
- Fellow of the European Academy of Sciences
- Fellow of the American Mathematical Society
- SIAM Fellow
- Past President of SIAM

# Research

My primary focus is on research and training in applied mathematics at the broad interface between mathematics, the physical sciences and engineering. My research program includes the mathematical study of shape memory alloys, ferroelectric, magnetic materials, composites, thin structures, phase transitions in fluids and solids, and the mathematical analysis of image segmentation, denoising, detexturing and recolorization in computer vision.

# Select Publications

Cristoferi, R. and Fonseca, I., Piecewise constant reconstruction of damaged color images. *To appear in ESAIM Control Optim. Calc. Var.*

Davoli, E. and Fonseca, I., Relaxation of p-growth integral functionals under space-dependent differential constraints. *To appear in Springer Indam Proceedings.*

Fonseca, I., Leoni, G. and Mora, M. G., A second order minimality condition for water-waves functionals. *To appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci*.

Carozza, M., Fonseca, I. and Passarelli di Napoli, A. (2018). Regularity results for an optimal design problem with quasiconvex bulk energies. *Calc. Var. Partial Differential Equations.* 57, 57:68.

Fonseca, I., Fusco, N., Morini, M. and Leoni, G. (2018). A model for dislocations in epitaxially strained elastic films. *J. Math. Pures Appl.* 111, 126–160.

Dal Maso, G., Fonseca, I., and Leoni, G. (2018). Asymptotic analysis of second order nonlocal Cahn-Hilliard-type functionals. *Trans. Amer. Math. Soc.,* 370, 2785–2823.

Fonseca, I. and Liu, P. (2017). The weighted Ambrosio-Tortorelli approximation scheme. *SIAM J. Math. Anal.*, 49, 4491-4520.

Ferreira, R., Fonseca, I., and Mascarenhas, M. L. (2017). A chromaticity-brightness model for color images denoising in a Meyer’s "u+v" Framework. *Calc. Var. Partial Differential Equations*, 56, 56:140.

Dacorogna, B., Fonseca, I. and Mingione, G. (2017). The various stages of Nicola Fusco. *Nonlinear Anal*, 153, 2–6.

Fonseca, I., Leoni, G. and Morini, M. (2017). Equilibria and dislocations in epitaxial growth. *Nonlinear Anal*, 154,

88-121.