[PDF][PDF] Singular perturbations and time scales in control theories and applications: An overview 2002–2012

Y Zhang, DS Naidu, C Cai, Y Zou - Int. J. Inf. Syst. Sci, 2014 - d.umn.edu
This paper presents an overview of singular perturbations and time scales (SPaTS) in
control theory and applications during the period 2002-2012. The previous …

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 …

Boundary value problems of Robin type for the Brinkman and Darcy–Forchheimer–Brinkman systems in Lipschitz domains

M Kohr, ML de Cristoforis, WL Wendland - Journal of Mathematical Fluid …, 2014 - Springer
The purpose of this paper is to study boundary value problems of Robin type for the
Brinkman system and a semilinear elliptic system, called the Darcy–Forchheimer–Brinkman …

Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem

P Musolino, G Mishuris - Philosophical Transactions of …, 2022 - royalsocietypublishing.org
We study the asymptotic behaviour of solutions of a boundary value problem for the Laplace
equation in a perforated domain in R n, n≥ 3, with a (nonlinear) Robin boundary condition …

Regularizing properties of space‐periodic layer heat potentials and applications to boundary value problems in periodic domains

P Luzzini - Mathematical Methods in the Applied Sciences, 2020 - Wiley Online Library
We introduce space‐periodic layer heat potentials and we prove some regularizing
properties in parabolic Schauder spaces defined on the boundary of infinite parabolic …

A singularly perturbed nonideal transmission problem and application to the effective conductivity of a periodic composite

MD Riva, P Musolino - SIAM Journal on Applied Mathematics, 2013 - SIAM
We investigate the effective thermal conductivity of a two-phase composite with thermal
resistance at the interface. The composite is obtained by introducing into an infinite …

A QUASI-LINEAR HEAT TRANSMISSION PROBLEM IN A PERIODIC TWO-PHASE DILUTE COMPOSITE. A FUNCTIONAL ANALYTIC APPROACH.

ML De Cristoforis, P Musolino… - … on Pure & Applied …, 2014 - search.ebscohost.com
We consider a heat transmission problem for a composite material which fills the n-
dimensional Euclidean space. The composite has a periodic structure and consists of two …

Asymptotic behavior of the longitudinal permeability of a periodic array of thin cylinders

P Musolino, V Mityushev - Electronic Journal of Differential …, 2015 - research.aber.ac.uk
We consider a Newtonian fluid flowing at low Reynolds numbers along a spatially periodic
array of cylinders of diameter proportional to a small nonzero parameter e. Then for e= 0 and …

A singularly perturbed Dirichlet problem for the Poisson equation in a periodically perforated domain. A functional analytic approach

P Musolino - Advances in Harmonic Analysis and Operator Theory …, 2013 - Springer
Let Ω be a sufficiently regular bounded open connected subset of R^ n such that 0 ϵ Ω and
that R^ n ∖ cl Ω is connected. Then we take (q_ 11,..., q_ nn) ∈ 0,+ ∞^ n\; and\; p ∈ Q ≡ …

A singularly perturbed nonlinear traction problem in a periodically perforated domain: a functional analytic approach

M Dalla Riva, P Musolino - Mathematical Methods in the …, 2014 - Wiley Online Library
We consider a periodically perforated domain obtained by making in a periodic set of holes,
each of them of size proportional to ε. Then, we introduce a nonlinear boundary value …