Analytic models of self-gravitating rotating gaseous tori with central black hole

In this thesis project, I present stationary models of rotating fluids with toroidal distributions that can be used to represent the active galactic nuclei (AGN) central obscurers, i.e. molecular tori (Combes et al., 2019), as well as geometrically thick accretion discs, like ADAF discs (Narayan and Yi, 1995) or Polish doughnuts (Abramowicz, 2005). In particular, I study stationary rotating systems with a more general baroclinic distribution (with a vertical gradient of the angular velocity), which are often more realistic and less studied, due to their complexity, than the barotropic ones (with cylindrical rotation), which are easier to construct. In the thesis, I compute analytically the main intrinsic and projected properties of the power-law tori based on the potential-density pairs of Ciotti and Bertin (2005). I study the density distribution and the resulting gravitational potential for different values of α, in the range 2 < α < 5. For the same models, I compute the surface density of the systems when seen face-on and edge-on. I then apply the stationary Euler equations to obtain rotational velocity and temperature distributions of the self-gravitating models in the absence of an external gravitational potential. In the thesis I also consider the power-law tori with the presence of a central black hole in addition to the gas self-gravity, and solving analytically the stationary Euler equations, I compute how the properties of the system are modified by the black hole and how they vary as a function of the black hole mass. Finally, applying the Solberg-Høiland criterion, I show that these baroclinic stationary models are linearly stable in the absence of the black hole. In the presence of the black hole I derive the analytical condition for stability, which depends on α and on the black hole mass. I also study the stability of the tori in the hypothesis that they are weakly magnetized, finding that they are always unstable to this instability.

Urban water demand model: the case study of Emilia Romagna (Italy)

Water is the driving force in nature. We use water for washing cars, doing laundry, cooking, taking a shower, but also to generate energy and electricity. Therefore water is a necessary product in our daily lives (USGS. Howard Perlman, 2013). The model that we created is based on the urban water demand computer model from the Pacific Institute (California). With this model we will forecast the future urban water use of Emilia Romagna up to the year of 2030. We will analyze the urban water demand in Emilia Romagna that includes the 9 provinces: Bologna, Ferrara, Forli-Cesena, Modena, Parma, Piacenza, Ravenna, Reggio Emilia and Rimini. The term urban water refers to the water used in cities and suburbs and in homes in the rural areas. This will include the residential, commercial, institutional and the industrial use. In this research, we will cover the water saving technologies that can help to save water for daily use. We will project what influence these technologies have to the urban water demand, and what it can mean for future urban water demands. The ongoing climate change can reduce the snowpack, and extreme floods or droughts in Italy. The changing climate and development patterns are expected to have a significant impact on water demand in the future. We will do this by conducting different scenario analyses, by combining different population projections, climate influence and water saving technologies. In addition, we will also conduct a sensitivity analyses. The several analyses will show us how future urban water demand is likely respond to changes in water conservation technologies, population, climate, water price and consumption. I hope the research can contribute to the insight of the reader’s thoughts and opinion.

De-authoring or Authoring?: A plunge into the question of authorship and language in J.M. Coetzee's Foe

J. M. Coetzee's Foe is not only a post-colonial novel, but it is also a re-writing of a classic, and its main themes are language, authorship, power and identity. Moreover, Foe is narrated by a woman, while written by a male, Nobel prize winning South African author. The aim of my tesina is to focus on the question of authorship and the role of language in Foe. Without any claim to be exhaustive, in the first section I will examine some selected extracts of Coetzee's book, in order to provide an analysis of the novel. These quotations will mainly be its metalinguistic parts and will be analysed in the “theory” sections of my work, relying on literary theory and on previous works on the novel. Among others, I will cover themes such as the relationship between speech and writing, the connection between writing, history, and memory, the role of silence and alternative ways of communicating and the relationship between literary authority and truth. These arguments will be the foundation for my second section, in which I will attempt to shed a light on the importance of the novel from a linguistic point of view, but always keeping an eye on the implication that this has on authorship. While it is true that it is less politically-permeated than Coetzee's previous works, Foe is above all a “journey of discovery” in the world of language and authorship. In fact, it becomes a warning for any person immersed in the ocean of language since, while everyone naturally tends to trust speech and writing as the only medium through which one can get closer to the truth, authority never is a synonym of reliability, and language is a system of communication behind which structures of power, misconceptions, lies, and treacherous tides easily hide.