4 papers
Optimization of the Steklov-Lamé eigenvalues with respect to the domain
Beniamin Bogosel, Pedro R. S. Antunes
This work deals with theoretical and numerical aspects related to the behavior of the Steklov-Lamé eigenvalues on variable domains. After establishing the eigenstructure for the di…
Numerical calculation of extremal Steklov eigenvalues in 3D and 4D
Pedro R. S. Antunes
We develop a numerical method for solving shape optimization of functionals involving Steklov eigenvalues and apply it to the problem of maximization of the -th Steklov eigenval…
Modelling silicosis: dynamics of a model with piecewise constant rate coefficients
Pedro R. S. Antunes, Fernando P. da Costa, João T. Pinto +1
We study the dynamics about equilibria of an infinite dimension coagulation-fragmentation-death model for the silicosis disease mechanism introduced recently by da Costa, Drmota, a…
On the behaviour of clamped plates under large compression
P. R. S. Antunes, D. Buoso, P. Freitas
We determine the asymptotic behaviour of eigenvalues of clamped plates under large compression, by relating this problem to eigenvalues of the Laplacian with Robin boundary conditi…