1,720,969 research outputs found

    Anomalous exponents in nonlinear diffusion

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    Aronson, D.G.; Vazquez, J.L.. (1993). Anomalous exponents in nonlinear diffusion. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2463

    Optimal Regularity for One-Dimensional Porous Medium Flow

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    Aronson, D.G.; Caffarelli, L.A.. (1987). Optimal Regularity for One-Dimensional Porous Medium Flow. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4510

    Disappearance of phase in the Stefan problem: one space dimension

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    Aronson, D.G.; Kamin, S.. (1990). Disappearance of phase in the Stefan problem: one space dimension. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/5142

    Eventual Cinfinity-Regularity and Concavity for Flows in One-Dimensional Porous Media

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    Aronson, D.G.; Vazquez, J.L.. (1987). Eventual Cinfinity-Regularity and Concavity for Flows in One-Dimensional Porous Media. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4507

    The Porous Medium Equation as a Finite-speed Approximation to a Hamilton-Jacobi Equation

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    Aronson, D.G.; Vazquez, J.L.. (1985). The Porous Medium Equation as a Finite-speed Approximation to a Hamilton-Jacobi Equation. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2987

    Focusing of an elongated hole in porous medium flow

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    In the focusing problem we study solutions to the porous medium equation ut=Δumu_t=\Delta u^m whose initial distributions are positive in the exterior of a compact two-dimensional region and zero inside. We assume that the initial interface is elongated and possesses reflectional symmetry with respect to both the x- and y- axes. We implement a numerical scheme that adapts the numerical grid around the interface so as to maintain a high resolution as the interface shrinks to a point. We find that as t tends to the focusing time T, the interface becomes oval-like with the lengths of the major and minor axes O(Tt)O(\sqrt{T-t}) and O(Tt)O(T-t) respectively. Thus, the aspect ratio is O(1/Tt)O(1/\sqrt{T-t}). By scaling and formal asymptotic arguments, we derive an approximate solution which is valid for all m. This approximation indicates that the numerically observed power behavior for the major and minor axes is universal for all m>1.Angenent, Sigurd; Aronson, D.G.; Betelu, Santiago; Lowengrub, J.S.. (2001). Focusing of an elongated hole in porous medium flow. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3651

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Variations on the Author

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    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship

    Appropriate Similarity Measures for Author Cocitation Analysis

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    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
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