3,993 research outputs found

    Periodic homogenization of an elliptic system involving non-local and equi-valued interface conditions

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    In this paper, we analyze the effective behaviour of the solution of an elliptic problem in a two-phase composite material with non-standard imperfect contact conditions between its constituents. More specifically, we consider on the interface an equi-valued surface condition and a non-local flux condition involving a scaling parameter α\alpha. We perform a homogenization procedure by using the periodic unfolding technique. As a result, we obtain two different effective models, depending on the scaling parameter α\alpha. More precisely, in the case \alpha>-1, we are led to a standard Dirichlet problem for an elliptic equation, while in the case α=1\alpha=-1, we get a bidomain system, consisting in the coupling of an elliptic equation with an algebraic one

    Homogenization results for a class of parabolic problems with a non-local interface condition via time-periodic unfolding

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    We study the thermal properties of a composite material in which a periodic array of finely mixed perfect thermal conductors is inserted. The suitable model describing the behaviour of such physical materials leads to the so-called equivalued surface boundary value problem. To analyze the overall conductivity of the composite medium (when the size of the inclusions tends to zero), we make use of the homogenization theory, employing the unfolding technique. The peculiarity of the problem under investigation asks for a particular care in developing the unfolding procedure, giving rise to a non-standard two-scale problem

    Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace-Beltrami operator

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    We study a concentration and homogenization problem modelling electrical conduction in a composite material. The novelty of the problem is due to the specific scaling of the physical quantities characterizing the dielectric component of the composite. This leads to the appearance of a peculiar displacement current governed by a Laplace-Beltrami pseudo-parabolic equation. This pseudo-parabolic character is present also in the homogenized equation, which is obtained by the unfolding technique

    Homogenization in heterogeneous media modeled by the Laplace-Beltrami operator

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    The study of thermal, mechanical and electrical properties of composite materials plays an increasingly important role in material sciences because of their wide spectrum of applica- tions, for instance, in industrial processes, biomathematics, medical diagnosis. In this talk, we discuss some models which describe the thermal diffusivity or the electrical conductivity in a composite medium with a nely mixed periodic structure, assuming that the microstructure of the materials under consideration is made by two different diffusive or conductive regions separated by an active interface ([1, 2, 3]). From the mathematical point of view, these models are described by a system of parabolic or elliptic equations in the two bulk phases, coupled through the interface by means of an equation involving the Laplace-Beltrami operator. Since the characteristic length of the microstructure is very small, we are led to study the limit behaviour of the medium, when the spatial period of the medium goes to zero, in order to produce the so-called \macroscopic" or \homogenized" models

    Claudia Rankine: An Evening with Claudia Rankine

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    An initiative of the National Endowment for the Arts in partnership with Arts Midwest, the NEA Big Read broadens our understanding of our world, our communities, and ourselves through the joy of sharing a good book. For NEA Big Read: Hampton Roads, that book is Citizen: An American Lyric. NEA Big Read: Hampton Roads, the President\u27s Lecture Series, and the President\u27s Task Force on Inclusive Excellence invite you to a powerful evening with Claudia Rankine, the book\u27s author, hosted by Tim Seibles, Poet Laureate for the Commonwealth of Virginia, and opening with readings by local youth poets. Claudia Rankine has written five collections of poetry, including Citizen: An American Lyric, which was selected for the National Endowment for the Arts\u27 Big Read, and two plays. She also has participated in several video collaborations and edited anthologies including The Racial Imaginary: Writers on Race in the Life of the Mind. Rankine has received fellowships from the MacArthur and Guggenheim foundations. Citizen won several honors, including the National Book Critics Circle Award for Poetry, the PEN Open Book Award and the NAACP Image Award. Citizen also was the only poetry book to be a New York Times nonfiction bestseller. She is the Frederick Iseman Professor of Poetry at Yale University and chancellor of the Academy of American Poets

    Portrait of Claudia Lynn Pittman.

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    Handwritten inscription: Claudia Lynn Pittman, 20 yrs old, Hattiesburg.https://egrove.olemiss.edu/joephoto_c/1129/thumbnail.jp

    Homonoia - Concorda - Sammanasya

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    Analysis of the divine figures of Homónoia in the Greek pantheon, Concordia in the Roman pantheon, and Sammanasya in the Vedic pantheon. Claudia Santi is the author of Homónoia; Andrzej Gillmeister is the author of Concordia; Antonio Salvati is the author of Sammanasya. As regards Homónoia, the origin of this personified abstraction seems to be traced back to the political debate of Athens in the last 5th century. Maybe it was created by Antiphon as opposed to stásis, both in the meaning of ‘psychic conflict’ and ‘internal political dissensions, civil war’

    Claudia Emerson, 31st Annual ODU Literary Festival

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    Claudia Emerson was awarded the 2006 Pulitzer Prize in Poetry for her book Late Wife: Poems (LSU Press, 2005). She is also the author of the poetry collections Pharaoh, Pharaoh, and Pinion: An Elegy; all volumes are published in Dave Smith’s Southern Messenger Poets series. Her poems have appeared in Poetry, Southern Review, Shenandoah, TriQuarterly, New England Review and other journals. Emerson is the recipient of a Witter Bynner Fellowship from the Library of Congress and fellowships from the National Endowment for the Arts and the Virginia Commission for the Arts. She is an associate professor of English at the University of Mary Washington in Fredericksburg, Va

    A degenerate pseudo-parabolic equation with memory

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    We prove the existence and uniqueness for a degenerate pseudo-parabolic problem with memory. This kind of problem arises in the study of the homogenization of some differential systems involving the Laplace-Beltrami operator and describes the effective behaviour of the electrical conduction in some composite materials

    Interview with Claudia Verhoeven, May 13, 2010

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    Interview Themes: What Verhoeven hoped to achieve with The Odd Man Karakazov (00:58) Greatest challenge of writing the book (10:02) How historians learn to recognize the new in history (16:29) Primary influences on Verhoeven's research and writing thus far (24:44) Implications of Verhoeven's work for the field of Russian history (31:38) Recent works published that suggest what is interesting now (38:00) Verhoeven's plans for future research (40:05)Interview with Claudia Verhoeven, Assistant Professor of History at Cornell University, conducted in Ithaca, NY on May 13, 2010. Professor Verhoeven is author of "The Odd Man Karakazov: Imperial Russia, Modernity and the Birth of Modern Terrorism," published by Cornell University Press in 2009.1_yanxzrv61_iabh8g0
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