1,721,342 research outputs found
On the convex components of a set in
Full text linkWe prove a lower bound on the number of the convex components of a compact
set with non-empty interior in for all . Our result
generalizes and improves the inequalities previously obtained in M. Carozza, F.
Giannetti, F. Leonetti and A. Passarelli di Napoli, "Convex components", in
Communications in Contemporary Mathematics, Vol. 21, No. 06, 1850036 (2019) and
in M. La Civita and F. Leonetti, "Convex components of a set and the measure of
its boundary", Atti. Sem. Mat. Fis. Univ. Modena Reggio Emilia 56 (2008-2009)
71-78.Comment: 16 pages, 6 figure
ON THE LIPSCHITZ REGULARITY FOR MINIMA OF FUNCTIONALS DEPENDING ON x, u, AND ∇u UNDER THE BOUNDED SLOPE CONDITION
No full textWe prove the existence of a global Lipschitz minimizer of functionals of the form
I (u) =
\int
\Omega f(\nabla u(x)) + g(x, u(x)) dx, u \in \phi + W1,1
0 (\Omega ), assuming that \phi satisfies the bounded slope
condition (BSC). Our assumptions on the Lagrangian allow the function f to be strongly degenerate
Regularity results of solutions of quasilinear systems having singularities in the coefficients
No full textPropeller wake impact on transition location
No full textThis work has been carried out within ESTRO Clean Sky 2 CfP project, whose goal was to develop an innovative future green regional aircraft configuration based on several new technologies able to match the very demanding and challenging objectives ACARE 2020 in terms of environmental impact. In details, an automatic numerical procedure for the evaluation of the detrimental effect of the propeller on transition location of a laminar turbo-prop wing is proposed here. The evaluation of transition location is based on a well-known procedure, based on the use of eN method implemented in a Linear Stability (LST) solver. The input data for the LST solver are represented by the pressure distribution as derived from high-fidelity Reynolds-Averaged Navier-Stoke (RANS) solutions and the velocity profiles in the boundary layer derived from a conical formulation of the boundary layer equations
Higher integrability of minimizers of degenerate functionals in carnot-caratheodory spaces
No full textIn this paper, we prove a higher integrability result for the horizontal gradient of a minimizer of a functional of the type whose matrix of the coefficients A(x) = tA(x) satisfies the anisotropic bounds where the ellipticity function K(x) ∈ A2 ∩RHτ, τ opportunely related to the homogeneous dimension, and is such that the pair
Existence and regularity of the solutions to degenerate elliptic equations in Carnot-Caratheodory spaces
No full textLe lampade vitree incise di Faragola. Committenza, produzione, circolazione e funzione
No full textI recenti significativi rinvenimenti di vetri incisi nei siti della Puglia centro-settentrionale hanno permesso di gettare nuova luce non solo sugli aspetti tecnico-stilistici, ma anche sulle dinamiche sociali e culturali sottese alla produzione e diffusione di questi pregiati manufatti. Particolare rilievo riveste il ritrovamento di tre esemplari di lampade vitree incise nel sito di Faragola, nel territorio dell’antica Ausculum, dove le ricerche condotte dall’Università di Foggia hanno portato alla scoperta di un insediamento rurale pluristratificato e, in particolare, di una lussuosa villa tardoantica e di un abitato altomedievale. Nel corridoio di accesso alla monumentale cenatio sono state ritrovate impilate integre le tre lampade, databili agli inizi del V sec. d.C., in stratigrafie ascrivibili alle fasi di abbandono della villa, forse accuratamente conservate per essere reinserite nel ciclo di produzione del vetro in età altomedievale.
Di particolare interesse la decorazione con iscrizione incisa sulle lampade: dulcis anima pie zeses/ Α ((crux monogrammatica)) Ω. L’iscrizione, documentata frequentemente nei vetri dorati in combinazione con soggetti di ispirazione profana, pagana, cristiana e giudaica, rinvia al formulario augurale utilizzato durante i banchetti e reinterpretato in ambito funerario in relazione al rituale del refrigerium e indirettamente al simbolico convito ultraterreno. Simbolo polivalente, ampiamente diffuso in numerosi contesti espressivi, adottato da ogni ceto sociale, documentato su molteplici tipologie di suppellettili, spesso come semplice elemento decorativo, il signum Christi, potenziato dalle lettere apocalittiche, compare nelle lampade di Faragola nella sua valenza semantica ed evocativa, con valore profilattico/apotropaico.
Queste lampade rientrano nel novero di quei manufatti realizzati per essere donati in particolari occasioni della vita civile e religiosa e di ricorrenze familiari della ricca e colta aristocrazia tardoantica. Considerate le molteplici problematiche ancora aperte negli studi sui vetri incisi, si tenteranno di affrontare in questo contributo i temi relativi alla committenza, circolazione e funzione di tali manufatti con riferimento ad altre tipologie documentate nei contesti apuli. Sono state prese in considerazioni le analogie più stringenti, da un lato, con le prime espressioni figurative paleocristiane dei vetri dorati di fine IV secolo e, dall'altro, con i bicchieri e le lampade di matrice orientale rinvenuti in alcuni siti del Mediterraneo che presentano una forte somiglianza sul piano tecnico-stilistico e iconografico
Novel Approach to Rainfall Rate Estimation based on Fusing Measurements from Terrestrial Microwave and Satellite Links
Full text linkReliable, cheap and accurate measurements of rainfall rate are growing to be more and more important in many sectors as: meteorology, agriculture, flood warning, and weather forecasting. Recently, indeed, the development of novel competitive techniques has been pushed in order to improve accuracy and reliability performance, such as commercial microwave links and broadcast satellite links. The aim of the current paper is to extend previous works of the literature based on land wireless links only. The basic idea consists in synergically employing both land and satellite based approaches together, by collecting and properly fusing the corresponding measurements. To this end, an iterative optimization procedure has been developed. As shown by numerical results, the proposed procedure gives the estimated rainfall map with a considerable accuracy and improved performance respect to the conventional algorithm based on terrestrial link only
Optimal explicit Runge-Kutta methods for compressible Navier-Stokes equations
No full textWe focus our attention on the numerical simulations of compressible flows obtained by using Finite Difference in time /Finite Element in space approximation. In particular, we determine optimal explicit Runge-Kutta methods capable to maximize the stability features of the resulting numerical scheme. Two different regimes characterized by low and moderate Mach numbers have been taken into account. In the former regime, we have determined an explicit Runge-Kutta method of fourth order that is approximately 15% more efficient than classical ERK(4,4) schemes. For moderate Mach numbers, Ma=0.4, and transitional Reynolds numbers we have determined ERK schemes that outperform classic
ERK(3,3) or ERK(4,4). Optimal ERK have a reduced CFL approximatively four or five times larger than classical ones. These optimized ERK schemes are then promising for the study of transitional flows for global stability or transient growth analyses
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