4 papers
A note on the Maxwell's eigenvalues on thin sets
Francesco Ferraresso, Luigi Provenzano
We analyse the Maxwell's spectrum on thin tubular neighborhoods of embedded surfaces of . We show that the Maxwell eigenvalues converge to the Laplacian eigenvalues of…
On vibrating thin membranes with mass concentrated near the boundary: an asymptotic analysis
Matteo Dalla Riva, Luigi Provenzano
We consider the spectral problem \begin{equation*} \left\{\begin{array}{ll} -Δu_{\varepsilon}=λ(\varepsilon)ρ_{\varepsilon}u_{\varepsilon} & {\rm in}\ Ω\\ \frac{\partial u_{\vareps…
A note on the Neumann eigenvalues of the biharmonic operator
Luigi Provenzano
We study the dependence of the eigenvalues of the biharmonic operator subject to Neumann boundary conditions on the Poisson's ratio. In particular, we prove that the Neumann eigenv…
Strong existence and uniqueness of the stationary distribution for a stochastic inviscid dyadic model
Luisa Andreis, David Barbato, Francesca Collet +2
We consider an inviscid stochastically forced dyadic model, where the additive noise acts only on the first component. We prove that a strong solution for this problem exists and i…