22 citations · 53 across the 19 of their papers we have counts for
4 papers · 2 filters
Regularity in Time for Weak Solutions of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces
Irene Fonseca, Giovanni Leoni, Xin Yang Lu
The evolution equation derived by Xiang (SIAM J. Appl. Math. 63:241--258, 2002) to describe vicinal surfaces in heteroepitaxial growth is $$ h_t=-\left[ H(h_x)+\left(h_x^{-1}+h_x \…
Homogenization of Integral Energies Under Periodically Oscillating Differential Constraints
Elisa Davoli, Irene Fonseca
A homogenization result for a family of integral energies is presented, where the fields are subjected to periodic first order oscillating differential constraints in divergence fo…
Multiscale homogenization in Kirchhoff's nonlinear plate theory
Laura Bufford, Elisa Davoli, Irene Fonseca
The interplay between multiscale homogenization and dimension reduction for nonlinear elastic thin plates is analyzed in the case in which the scaling of the energy corresponds to…
Regularity Results for an Optimal Design Problem with a Volume Constraint
Menita Carozza, Irene Fonseca, Antonia Passarelli di Napoli
Regularity results for minimal configurations of variational problems involving both bulk and surface energies and subject to a volume constraint are established. The bulk energies…