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Qualitative behavior of the two-phase entropy solution of a forward-backward parabolic problem
We discuss some qualitative aspects of a forward-backward parabolic problem that has been introduced in [L. C. Evans and M. Portilheiro, Math. Models Methods Appl. Sci., 14 (2004), pp. 1599-1620], [C. Mascia, A. Terracina, and A. Tesei, Evolution of stable phases in forwardbackward parabolic equations, in Asymptotic Analysis and Singularities, Mathematical Society of Japan, Tokyo, 2007, pp. 451-478] and further analyzed in [C. Mascia, A. Terracina, and A. Tesei, Arch. Ration. Mech. Anal., 194 (2009), pp. 887-925]. This problem arises in models of phase transition in which two stable phases are separated by an interface. In particular, we consider here the problem of the extension in time of the solution constructed in [C. Mascia, A. Terracina, and A. Tesei, Arch. Ration. Mech. Anal., 194 (2009), pp. 887-925]. We analyze the regularity of the solution u defined in a domain R × (0, T) and give an estimate, depending on the initial datum, of the number of convex regions of the function u(·, t) for every t ε (0, T). Copyright © 2011 by SIAM
La via Appia a Terracina la strada romana e suoi monumenti ; studi in occasione del 23. centenario dell'Appia
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A Forgotten Bestselling Author: Laura Terracina in Early Modern Naples
This dissertation provides a critical assessment of Laura Terracina (1519-c.1577) and her works. It argues that she was a consummate product of her age, embodying the tensions which ruled the Italian peninsula. Terracina published eight books and left a ninth in manuscript at the time of her death, winning legions of admirers and making her sixteenth-century Italy’s most commercially successful female author. Yet in spite of her enormous popularity amongst her contemporaries, scholarship has largely neglected Terracina. This dissertation will open up an overdue field of enquiry into her life and works, exploring the significance of her role as a sixteenth-century female poet through the lenses of gender and class. By mapping her place in the literary landscape, it is hoped that this thesis will encourage scholars to afford Terracina the attention she so richly deserves.
The first chapter of the dissertation situates Terracina as a poet of Naples, seeing her as a product of her family’s political standing within the city, her academician status, and her own construction of an urban coterie of supporters. The second chapter considers the mechanics of the journey into print, assessing Terracina’s own input and her close collaboration with male editors and publishers. It proposes a greater attribution of agency to Terracina than has thus far been made, arguing that she is, in fact, an important figure in the process of her texts reaching the hands of readers. The third chapter considers how the poet used her printed books as social tools, employing them to gain social and literary capital.
The second section of the dissertation looks at two thematic strands within Terracina’s poetry. Chapter four considers her political poetry, including her attitude towards the harm done to civilian populations across Europe. Chapter five looks at the religious dimension to Terracina’s work, the spiritual poetry written in her later years, and the relationship this bears to her secular lyric. Finally, the dissertation concludes with a chapter on the contemporary reception of Terracina’s texts, providing preliminary thoughts on how she was read, before closing with a consideration of her literary afterlife in the centuries that followed
Game@School: Teaching STEM through mobile apps and role-based games
Dealing with digital native students requires new methodologies of teaching. In this work, we describe an approach and a conceptual architecture of a supporting teaching tool that takes into account two main objectives in new teaching trends: Virtual Learning Environments (VLEs) and Intelligent Pedagogical Agents (IPAs). The main idea is a VLE that in turn is a role playing game. The game structure follows a quest-based game that is deliberately designed as a system of problem-solving activities aimed at achieving objectives, to be successfully addressed in order to progress and eventually win. The emotional behavior of the IPAs has been built by conducting a study on emotions with high school students. Stemming from the study results, it has been built an Android application that uses the IPA as a standalone application to prove the efficacy of the IPA itself
Piro L, Bighiani T, Casale A, Panzini E, Ferrazza G, Fakeri A, Pieroni M, Terracina S, Balan AS, Massetti AP, Angeloni A. Anticorpi anti SARS-CoV-2 tra i donatori di sangue afferenti al SIMT del Policlinico Umberto I di Roma
Entropy formulation for forward-backward parabolic equations
We give a brief overview of the results obtained for forward--backward parabolic equations of cubic type. In particular we summarize an approach that has some analogies with hyperbolic conservation laws. More precisely we give a concept of entropy solution and analyze in more details admissibility conditions satisfied by an interface that separates different phases. Finally we state uniqueness and existence results that appear in literature
A uniqueness criterion for measure-valued solutions of scalar hyperbolic conservation laws
We prove existence and uniqueness of Radon measure-valued solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension, the initial data being a finite superposition of Dirac masses and the flux being Lipschitz continuous, bounded and sufficiently smooth. The novelty of the paper is the introduction of a compatibility condition which, combined with standard entropy conditions, guarantees uniqueness
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