activity
20092022
most citedOn a waveguide with frequently alternating boundary conditions: homogenized Neumann condition

59 citations · 456 across the 26 of their papers we have counts for

collaborators

33 papers

math.SP2022

Spectrum of the Laplacian on a domain perturbed by small resonators

Giuseppe Cardone, Andrii Khrabustovskyi

It is widely known that the spectrum of the Dirichlet Laplacian is stable under small perturbations of a domain, while in the case of the Neumann or mixed boundary conditions the s…

math.AP2020★ 10 cited

Homogenization of 2D Cahn-Hilliard-Navier-Stokes system

Renata Bunoiu, Giuseppe Cardone, Romaric Kengne +1

In the current work, we are performing the asymptotic analysis, beyond the periodic setting, of the Cahn-Hilliard-Navier-Stokes system. Under the general deterministic distribution…

math.AP2019★ 1 cited

Deterministic homogenization of elliptic equations with lower order terms

Renata Bunoiu, Giuseppe Cardone, Willi Jäger +1

For a class of linear elliptic equations of general type with rapidly oscillating coefficients, we use the sigma-convergence method to prove the homogenization result and a correct…

math.AP2019

Homogenization results for a coupled system of reaction-diffusion equations

G. Cardone, C. Perugia, C. Timofte

The macroscopic behavior of the solution of a coupled system of partial differential equations arising in the modeling of reaction-diffusion processes in periodic porous media is a…

math.AP2019

Asymptotic behavior of a Bingham Flow in thin domains with rough boundary

Giuseppe Cardone, Carmen Perugia, Manuel Villanueva Pesqueira

We consider an incompressible Bingham flow in a thin domain with rough boundary, under the action of given external forces and with no-slip boundary condition on the whole boundary…

math.SP2018

-interaction as a limit of a thin Neumann waveguide with transversal window

Giuseppe Cardone, Andrii Khrabustovskyi

We consider a waveguide-like domain consisting of two thin straight tubular domains connected through a tiny window. The perpendicular size of this waveguide is of order $\varepsil…