196,612 research outputs found

    New light on some artists impressions of a visit to St Paul's Grotto in the 17th century

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    The cult of St Paul in Malta derives from the Apostle s shipwreck (Acts of the Apostles, Chapters 27 and 28) which gained specific shape and interpretation through oral and written interpretations and accounts over the centuries. The centre of this cult was 'La Grotta di S. Paolo' in Rabat (Malta). The Counter Reformation programme with its efforts to renovate and re-establish concrete objects of veneration and Malta's increasing prosperity and her economic 'opening' towards Europe after 1530 were crucial factors in the history of this cult. The focus of this paper is directed on three distinguished artists' visit to the grotto in the 17'" century, and its echoes in their works and writings. The comments on the shrine by Joachim von Sandrarf, Willem Schellinkx, and Lambert Friedrich Corfey have, until now, escaped the attention of scholars.peer-reviewe

    Decay of correlation rate in the mean field limit of point vortices ensembles

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    We consider the Mean Field limit of Gibbsian ensembles of 2-dimensional (2D) point vortices on the torus. It is a classical result that in such limit correlations functions converge to 1, that is, point vortices decorrelate: We compute the rate at which this convergence takes place by means of Gaussian integration techniques, inspired by the correspondence between the 2D Coulomb gas and the Sine-Gordon Euclidean field theory

    Zero-noise dynamics after collapse for three point vortices

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    The continuation of point vortex dynamics after a vortex collapse is investigated by means of a regularization procedure consisting in introducing a small stochastic diffusive term, that corresponds to a vanishing viscosity. In contrast with deterministic regularization, in which a cutoff interaction selects in the limit a single trajectory of the system after collapse, the zero-noise method produces a probability distribution supported by trajectories satisfying relevant conservation laws of the point vortex system

    The Triclinium-Grotto of Julia Felix: The Grotto in Roman Domestic Architecture

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    Grottoes were incorporated into private domestic Roman architecture in the Republican era, and the popularity of the form continued into the Imperial period. As places of refuge from the strains of public life, artificial and structurally altered natural grottoes equipped with nymphaea provided a cool and refreshing escape for the Roman aristocrat. Chapter 1 summarizes the physical evidence for the role of the grotto in the Classical and Hellenistic Greek world, and examines the association of the grotto with the god Dionysus. In Chapter 2 the motif of the grotto in Roman literature is briefly discussed, with emphasis on references to decorated grottoes. The majority of the chapter considers the construction, decoration and function of the grotto-nymphaeum, an architectural type which appears in many Republican and early Imperial villas. Chapter 3 examines the triclinium and its changing role in the Roman house plan, a role which reflects a wider movement in the evolution of domestic Roman architecture. The arrangement and decoration of outdoor and nymphaea triclinia are considered in this context. The nature of the stibadium and its Dionsiac and secular connections are also discussed. Chapter 4 is devoted to an examination of the triclinium-grotto of the praedia of Julia Felix at Pompeii, in which the elements of grotto, nymphaeum and triclinium are combined and fully integrated into the fabric of domestic architecture.Master of Arts (MA

    Uniform approximation of 2D Navier-Stokes equations with vorticity creation by stochastic interacting particle systems

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    We consider a stochastic interacting particle system in a bounded domain with reflecting boundary, including creation of new particles on the boundary prescribed by a given source term. We show that such particle system approximates 2D Navier–Stokes equations in vorticity form and impermeable boundary, the creation of particles modeling vorticity creation at the boundary. Kernel smoothing, more specifically smoothing by means of the Neumann heat semigroup on the space domain, allows to establish uniform convergence of regularized empirical measures to (weak solutions of) Navier–Stokes equations
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