Emerging Problems in the Homogenization of Partial Differential Equations

Patrizia Donato, Professor at the University of Rouen Normandie, is author of 3 books and about 100 international articles on Partial Differential Equations, in particular their Homogenization.  She has given about 100 lectures and seminars and 15 research courses in several countries, and organized about 20 international scientific events. She directed or co-directed 15 PhD thesis. Member of the EMS Ethics Commettee, and of the editorial board of Asymptotic Analysis, and Ricerche di Matematica.Manuel Luna-Laynez is Professor at the University of Seville. He is currently the Director of the Department of Differential Equations and Numerical Analysis. His main research interests concern homogenization theory and asymptotic analysis of partial differential equations posed in thin domains. He is the author of numerous publications focused on applications to the optimal design of materials, behavior of fluids in domains with rough boundaries, porous media and elastic multi-structures.

• Nika, G. and Vernescu, B., Micro-geometry effects on the nonlinear effective yield strength response of magnetorheological fluids.- Jerez-Hanckes, C. et al., Multiscale analysis of myelinated axons.- Pérez-Martínez, M., Homogenization for alternating boundary conditions with large reaction terms concentrated in small regions.-  G. Fulgencio, R. and Guibé, O.,  Quasilinear Elliptic Problems in a Two-Component Domain with L^1 data.- Donato, P. et al., Homogenization of  an eigenvalue problem in a two-component domain with  interfacial jump.