Singularly perturbed boundary value problems

M Dalla Riva, M Lanza de Cristoforis… - A Functional Analytic …, 2021 - Springer
This book is the first introductory and self-contained presentation of a method for the
analysis of singularly perturbed boundary value problems that we have called the Functional …

Perturbation analysis of the effective conductivity of a periodic composite

P Luzzini, P Musolino - Networks and Heterogeneous Media, 2020 - research.unipd.it
We consider the effective conductivity λeff of a periodic two-phase composite obtained by
introducing into an infinite homogeneous matrix a periodic set of inclusions of a different …

Shape analyticity and singular perturbations for layer potential operators

M Dalla Riva, P Luzzini, P Musolino - … : Mathematical Modelling and …, 2022 - esaim-m2an.org
We study the effect of regular and singular domain perturbations on layer potential operators
for the Laplace equation. First, we consider layer potentials supported on a diffeomorphic …

Dependence of effective properties upon regular perturbations

M Dalla Riva, P Luzzini, P Musolino… - Mechanics and Physics …, 2022 - Elsevier
In this survey, we present some results on the behavior of effective properties in presence of
perturbations of the geometric and physical parameters. We first consider the case of a …

Multi-parameter perturbations for the space periodic heat equation

MD Riva, P Luzzini, R Molinarolo… - arXiv preprint arXiv …, 2023 - arxiv.org
This paper is divided into three parts. The first part focuses on periodic layer heat potentials,
demonstrating their smooth dependence on regular perturbations of the support of …

Integral equation method for a Robin-type traction problem in a periodic domain

MD Riva, G Mishuris, P Musolino - arXiv preprint arXiv:2208.02702, 2022 - arxiv.org
In this note, we consider a Robin-type traction problem for a linearly elastic body occupying
an infinite periodically perforated domain. After proving the uniqueness of the solution we …

Multi-parameter analysis of the obstacle scattering problem

M Dalla Riva, P Luzzini, P Musolino - Inverse Problems, 2022 - iopscience.iop.org
We consider the acoustic field scattered by a bounded impenetrable obstacle and we study
its dependence upon a certain set of parameters. As usual, the problem is modeled by an …

Flow stability and permeability in a nonrandom porous medium analog

TP Leão - Physics of Fluids, 2024 - pubs.aip.org
The estimation of the permeability of porous media to fluids is of fundamental importance in
fields as diverse as oil and gas industry, agriculture, hydrology, and medicine. Despite more …

Dependence of the layer heat potentials upon support perturbations

MD Riva, P Luzzini - Differential and Integral Equations, 2023 - projecteuclid.org
DEPENDENCE OF THE LAYER HEAT POTENTIALS UPON SUPPORT PERTURBATIONS 1.
Introduction Potential theory is a powerful tool for analy Page 1 Differential and Integral …

Real analyticity of periodic layer potentials upon perturbation of the periodicity parameters and of the support

P Luzzini, P Musolino, R Pukhtaievych - Current Trends in Analysis, its …, 2021 - Springer
Real Analyticity of Periodic Layer Potentials Upon Perturbation of the Periodicity Parameters
and of the Support | SpringerLink Skip to main content Advertisement SpringerLink Account …