16 citations · 22 across the 9 of their papers we have counts for
9 papers
Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision
Antonín Češík, Giovanni Gravina, Malte Kampschulte
We study the time evolution of non-linear viscoelastic solids in the presence of inertia and (self-)contact. For this problem we prove the existence of weak solutions for arbitrary…
Static surface mode expansion for the full-wave scattering from penetrable objects
Carlo Forestiere, Giovanni Gravina, Giovanni Miano +2
We introduce the longitudinal and transverse static surface modes and use them to solve the full-wave electromagnetic scattering problem from penetrable objects. The longitudinal s…
Contactless rebound of elastic bodies in a viscous incompressible fluid
Giovanni Gravina, Sebastian Schwarzacher, Ondřej Souček +1
In this paper, we investigate the phenomenon of particle rebound in a viscous incompressible fluid environment. We focus on the important case of no-slip boundary conditions, for w…
On the relaxation of functionals with contact terms on non-smooth domains
Riccardo Cristoferi, Giovanni Gravina
We provide the integral representation formula for the relaxation in with respect to strong convergence in of a functional with a bound…
Sharp interface limit of a multi-phase transitions model under nonisothermal conditions
Riccardo Cristoferi, Giovanni Gravina
A vectorial Modica--Mortola functional is considered and the convergence to a sharp interface model is studied. The novelty of the paper is that the wells of the potential are not…
On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions
Giovanni Gravina, Giovanni Leoni
This paper is concerned with the study of the behavior of the free boundary for a class of solutions to a one-phase Bernoulli free boundary problem with mixed periodic-Dirichlet bo…
Electromagnetic modes and resonances of two-dimensional bodies
Carlo Forestiere, Giovanni Gravina, Giovanni Miano +2
The electromagnetic modes and the resonances of homogeneous, finite size, two-dimensional bodies are examined in the frequency domain by a rigorous full wave approach based on an i…
Higher order Gamma-limits for singularly perturbed Dirichlet-Neumann problems
Giovanni Gravina, Giovanni Leoni
A mixed Dirichlet-Neumann problem is regularized with a family of singularly perturbed Neumann-Robin boundary problems, parametrized by . Using an asymptotic devel…
On the existence of non-flat profiles for a Bernoulli free boundary problem
Giovanni Gravina, Giovanni Leoni
In this paper we consider a large class of Bernoulli-type free boundary problems with mixed periodic-Dirichlet boundary conditions. We show that solutions with non-flat profile can…