Irene Fonseca

Irene Fonseca is the Kavčić-Moura University Professor of Mathematics and Director of the Center for Nonlinear Analysis at Carnegie Mellon University's Department of Mathematical Sciences. Her research focuses on applied mathematics at the intersection of mathematics, the physical sciences, and engineering. Her work includes the mathematical analysis of materials such as shape memory alloys, ferroelectric and magnetic materials, composites, and phase transitions in fluids and solids, as well as image segmentation and processing in computer vision. She has contributed to various publications on topics such as optimal design problems, dislocations in elastic films, and nonlocal Cahn-Hilliard-type functionals.

Irene Fonseca is a researcher at Carnegie Mellon University with a focus on variational methods and their applications in calculus of variations. Her work explores topics such as Lp spaces, quasiconvexity, and lower semicontinuity, with an emphasis on the calculus of variations and its connections to phase transitions and elasticity. She has contributed significantly to the understanding of relaxation processes, Young measures, and the behavior of minimizers in nonconvex problems. Her research also includes the analysis of concentration and oscillation effects generated by gradients, as well as the study of anisotropic image segmentation models. Her publications often address the mathematical foundations of variational problems in materials science and continuum mechanics.