1,721,419 research outputs found
Approximation by -convergence of a total variation with discontinuous coefficients
No full textWe determine the Gamma-limit as epsilon --> 0 of the sequence integral(Omega)[epsilon phi(2)(x, del u)+epsilon(-1)u(2)(1-u)(2)]dx of functionals defined on H-1(Omega). The free energy density phi has linear growth, is convex and positively homogeneous of degree one in the second variable and is upper semi-continuous in the first variable. The Gamma-limit can be interpreted as a generalized total variation with discontinuous coefficients on the class of the characteristic functions of sets of finite perimeter. The proof is based on some variational properties of the generalized total variation strictly related to the upper semi-continuity of phi, and on constructing a suitable approximation of phi from above
A finite dissipative theory of temporary interfibrillar bridges in the extracellular matrix of ligaments and tendons
Full text linkA notion of total variation depending on a metric with discontinuous coefficients
Full text linkGiven a function u : OMEGA subset-or-equal-to --> R, we introduce a notion of total variation of u depending on a possibly discontinuous Finsler metric. We prove some integral representation results for this total variation, and we study the connections with the theory of relaxation
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe 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
Full text link“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
Asymptotic analysis for non-local problems in composites with different imperfect contact conditions
Full text linkWe consider a composite material made up of a hosting medium containing an \eps-periodic array of perfect thermal conductors. Comparing with the previous contributions in the literature, in the present paper, the inclusions are completely disconnected and form two families with dissimilar physical behaviour. More specifically, the imperfect contact between the hosting medium and the inclusions
obeys two different laws, according to the two different types of inclusions.
The contact conditions involve the small parameter \eps and two positive constants \contuno,\contdue. We investigate the homogenization limit \eps\to 0 and the limits for \contuno,\contdue going to or , taken in any order, with the aim to find out the cases in which the two limits commute
HOMOGENIZATION OF FORWARD-BACKWARD PARABOLIC EQUATIONS
No full textWe study the homogenization of the equation
R(epsilon(-1) x) partial derivative u(epsilon)/partial derivative t - Delta u(epsilon) = f,
where R is a periodic function which may vanish or change sign, with appropriate initial/final conditions. The main tool is a compactness result for sequences of functions which have bounded norms in the spaces associated to the problems
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