7 papers
From primary HPV infection to carcinoma in situ: a mathematical approach of cervical intraepithelial neoplasia
Vasiliki Bitsouni, Nikolaos Gialelis, Ioannis G. Stratis +1
Cervical intraepithelial neoplasia (CIN) is the development of abnormal cells on the surface of the cervix, caused by a human papillomavirus (HPV) infection. Although in most of th…
On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations
Dirk Hennig, Nikos I. Karachalios, Dionyssios Mantzavinos +2
The question of whether features and behaviors that are characteristic to completely integrable systems persist in the transition to non-integrable settings is a central one in the…
On a Steklov spectrum in Electromagnetics
Francesco Ferraresso, Pier Domenico Lamberti, Ioannis G. Stratis
After presenting various concepts and results concerning the classical Steklov eigenproblem, we focus on analogous problems for time-harmonic Maxwell's equations in a cavity. In th…
A model for the outbreak of COVID-19: Vaccine effectiveness in a case study of Italy
Vasiliki Bitsouni, Nikolaos Gialelis, Ioannis G. Stratis
We present a compartmental mathematical model with demography for the spread of the COVID-19 disease, considering also asymptomatic infectious individuals. We compute the basic rep…
On an interior Calderón operator and a related Steklov eigenproblem for Maxwell's equations
Pier Domenico Lamberti, Ioannis G. Stratis
We discuss a Steklov-type problem for Maxwell's equations which is related to an interior Calderón operator and an appropriate Dirichlet-to-Neumann type map. The corresponding Neum…
Spatiotemporal algebraically localized waveforms for a nonlinear Schrödinger model with gain and loss
Z. A. Anastassi, G. Fotopoulos, D. J. Frantzeskakis +5
We consider the asymptotic behavior of the solutions of a nonlinear Schrödinger (NLS) model incorporating linear and nonlinear gain/loss. First, we describe analytically the dynami…
Homogenization of random elliptic systems with an application to Maxwell's equations
G. Barbatis, I. G. Stratis, A. N. Yannacopoulos
We study the homogenization of elliptic systems of equations in divergence form where the coefficients are compositions of periodic functions with a random diffeomorphism with stat…