1,721,204 research outputs found

    Invariant Measures in Two-Dimensional Fluid Dynamics

    Full text link
    The present thesis is an integrated compilation of the two main works that defined my PhD research at the University of Pavia, University of Milano-Bicocca, and University of York, where I completed a four-month Erasmus Traineeship Programme. The two principal works are presented as the main chapters of this thesis. They both address the two-dimensional stochastic Navier-Stokes Equations (sNSEs) for homogeneous incompressible fluids and the study of invariant probability measures. The first work, supervised by Professor Enrico Priola from the University of Pavia, introduces a novel a priori estimate for the sNSEs, set in a bounded domain and with additive noise, which leads to an intriguing application regarding the uniqueness and ergodic properties of its invariant measure. The second work, co-authored with Professor Zdzislaw Brzezniak from the University of York, explores the inviscid limit for the hyperviscous sNSEs, set in R^2 with additive noise. This investigation results in the proof of the existence, along with some moment estimates, of an invariant measure for the deterministic Euler Equations

    Nanofood in the Dish: Citizens' Right to Know

    No full text
    In recent decades, technoscientific innovation has pushed the food boundaries to a new frontier of nanofood. Following a close examination of the most relevant applications of nanotechnologies in the food processing sector, this article means to discuss firstly the role of labelling as a legal instrument in the area of food communication. It is meant to aim at protecting the informed choice of the citizen by conveying knowledge and responsibility in the relationship between the entrepreneur and the consumer. Therefore, this paper deals with the regulatory discipline adopted by Europe on the labelling of nanomaterials, as well as drawing a comparison with the different US regulatory model. Lastly, it debates the most relevant problems that emerged following the policy-decisions made on the matter

    Rappresentazioni del potere angioino nell’Italia comunale: sovrani, ufficiali, città

    No full text
    Negli ultimi anni gli studi hanno portato alla luce l’influenza politica e istituzionale esercitata dagli Angiò sui comuni dell’Italia centro-settentrionale. L’analisi delle strategie della comunicazione politica messe in atto dai sovrani di Napoli e dai loro rappresentanti attende ancora di essere affrontata. Documenti materiali e testuali testimoniano che, al pari delle istituzioni civili locali, gli angioini utilizzarono abitualmente l’immagine come strumento di «propaganda» nelle città sottoposte al loro dominio o alla loro influenza. I ritratti dei re di Napoli (a Firenze, Piacenza, Roma, etc.), le immagini delle loro imprese (a San Gimignano e, forse, a Firenze) e, soprattutto, i loro stemmi – spesso inglobati nella panoplia araldica comunale – erano dipinti o scolpiti in diversi punti della città, e specialmente nei palazzi pubblici, ma anche riprodotti su supporti effimeri in occasione di cerimonie solenni. Grazie a loro si voleva rappresentare il potere del monarca nello spazio urbano, affermarne le prerogative, descriverne le ricadute positive per la collettività. Da parte loro, i consigli e i funzionari cittadini si appropriarono dell’immagine, soprattutto araldica, dei sovrani angioini per dichiarare la loro appartenenza politica, e questo anche in anni successivi alla conclusione formale della dominazione o in luoghi che non la sperimentarono mai. Attraverso l’analisi delle rappresentazioni conservate o descritte dalle fonti indirette, si proverà allora a fornire una prima ricostruzione dei temi e delle funzioni dell’iconografia politica angioina nell’Italia centro-settentrionale tra il XIII e il XV secolo, cercando di identificare gli obiettivi di una committenza mutevole ed eterogenea.Si l’apport politique et institutionnel des Anjou à l’histoire des communes de l’Italie du nord et du centre a récemment fait l’objet d’études ciblées, l’analyse des formes de la communication politique engagée par les souverains de Naples et par leurs représentants reste encore largement à conduire. Des vestiges monumentaux et les sources écrites témoignent pourtant que, à l’instar des institutions civiles locales, les Angevins utilisèrent couramment l’image comme outil de « propagande » dans les villes qui avaient fait acte de soumission ou qui étaient politiquement influencées par la dynastie. Les portraits des rois de Naples (à Florence, à Plaisance, à Rome, etc.), les images de leurs succès (à San Gimignano et, peut-être, à Florence) et, surtout, leurs armes – ces dernières souvent insérées dans la panoplie héraldique de la commune – étaient peints ou sculptés à différents endroits de la ville, notamment dans les palais civiques, mais aussi reproduits sur des supports éphémères lors des cérémonies solennelles. Par leur biais on visait à représenter le pouvoir monarchique dans l’espace urbain, à en affirmer les prérogatives, à en décrire les retours positifs pour la collectivité. Quant à eux, les conseils et les fonctionnaires municipaux s’approprièrent de l’image, principalement héraldique, des souverains angevins pour déclarer leur appartenance politique, même après la conclusion de la domination ou là où elle ne fut jamais instaurée. À travers l’analyse des représentations conservées ou décrites par les sources indirectes, on essayera de donner un premier aperçu des thèmes de l’iconographie politique angevine dans l’Italie communale aux XIIIe-XVe siècles, visant à cerner les objectifs réels des acteurs, toujours différents, de la commande

    A virtual element method for the solution of 2D time-harmonic elastic wave equations via scalar potentials

    Full text link
    In this paper, we propose and analyse a numerical method to solve 2D Dirichlet timeharmonic elastic wave equations. The procedure is based on the decoupling of the elastic vector field into scalar Pressure (P-) and Shear (S-) waves via a suitable Helmholtz– Hodge decomposition. For the approximation of the two scalar potentials we apply a virtual element method associated with different mesh sizes and degrees of accuracy. We provide for the stability of the method and a convergence error estimate in the L 2 -norm for the displacement field, in which the contributions to the error associated with the P- and S- waves are separated. In contrast to standard approaches that are directly applied to the vector formulation, this procedure allows for keeping track of the two different wave numbers, that depend on the P- and S- speeds of propagation and, therefore, for using a high-order method for the approximation of the wave associated with the higher wave number. Some numerical tests, validating the theoretical results and showing the good performance of the proposed approach, are presented

    Michel de Montaigne: l’educazione, la vita, il giudizio

    No full text
    corecore