1,720,963 research outputs found
Regularity of weak solutions to rate-independent systems in one-dimension
Get PDFWe show that under some appropriate assumptions, every weak solution (e.g.
energetic solution) to a given rate-independent system is of class SBV, or has fi�nite jumps, or is even piecewise C1. Our assumption is essentially imposed on the energy functional, but not convexity is required
Another construction of BV solutions to rate-independent systems
Get PDFWe study one kind of weak solutions to rate-independent systems, which is constructed by using the local minimality in a small neighborhood of order ε and then taking the limit ε → 0. We show that the resulting solution satisfies both the weak local stability and the new energy-dissipation balance, similarly to the BV solutions constructed by vanishing viscosity introduced recently by Mielke, Rossi and Savare
Weak solutions to rate-independent systems: Existence and regularity
No full textWeak solutions for rate-independent systems has been considered by many
authors recently. In this thesis, I shall give a careful explanation
(benefits and drawback) of energetic solutions (proposed by Mielke and
Theil in 1999) and BV solutions constructed by vanishing viscosity
(proposed by Mielke, Rossi and Savare in 2012). In the case of convex
energy functional, then classical results show that energetic solutions is
unique and Lipschitz continuous. However, in the case energy functional is
not convex, there is very few results about regularity of energetic
solutions. In this thesis, I prove the SBV and piecewise C^1 regularity
for energetic solution without requiring the convexity of energy
functional. Another topic of this thesis is about another construction of
BV solutions via epsilon-neighborhood method
Regularity of weak solutions to rate-independent systems in one-dimension
Get PDFWe show that under some appropriate assumptions, every weak solution (e.g.
energetic solution) to a given rate-independent system is of class SBV, or has fi�nite jumps, or is even piecewise C1. Our assumption is essentially imposed on the energy functional, but not convexity is required
Monotonicity-Based Regularization for Phantom Experiment Data in Electrical Impedance Tomography
No full textBV solutions constructed using the epsilon-neighborhood method
Get PDFWe study a certain class of weak solutions to rate-independent systems, which is
constructed by using the local minimality in a small neighborhood of order ε and then taking the limit
ε → 0. We
show that the resulting solution satisfies both the weak local stability and the new
energy-dissipation balance, similarly to the BV solutions constructed by vanishing
viscosity introduced recently by Mielke et al. [A. Mielke, R. Rossi and
G. Savaré, Discrete Contin. Dyn. Syst. 2 (2010) 585–615;
ESAIM: COCV 18 (2012) 36–80; To appear in J. Eur.
Math. Soc. (2016)]
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe 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
Get PDF“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
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