2,153 research outputs found

    087 - The Marianist Spirit

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    Mary and the Church

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    The Bryoecology of Montgomery County, Illinois

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    The Bryoecology of Montgomery County, Illinois

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    On the vanishing viscosity limit in a disk

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    We say that the solution u to the Navier-Stokes equations converges to a solution v to the Euler equations in the vanishing viscosity limit if u converges to v in the energy norm uniformly over a finite time interval. Working specifically in the unit disk, we show that a necessary and sufficient condition for the vanishing viscosity limit to hold is the vanishing with the viscosity of the time-space average of the energy of u in a boundary layer of width proportional to the viscosity due to modes (eigenfunctions of the Stokes operator) whose frequencies in the radial or the tangential direction lie between L and M. Here, L must be of order less than 1/(viscosity) and M must be of order greater than 1/(viscosity)

    Exceptional Solutions of Hill Equations

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    AbstractA unified global classification of Hill equations summarizing classical and other results is presented. Connection between Lyapunov exponent and the rotation number of Hill equation is explained. It is shown that the notion of exceptional solutions introduced in [Elbert et al., Differential Integral Equations5 (1992), 945-960] is applicable to every Hill equation. A complete list of exceptional solutions for all Hill equations is given

    An Approach to a Christian Outlook on Reality: Integration of Knowledge

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    Very Reverend John A. Elbert, S.M., former Provincial Superior of the Cincinnati Province of the Society of Mary, was President of the University of Dayton from 1938 until 1944. He is the author of half a dozen books and numerous articles. This is not his first contribution to this review

    Christian Insight

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    Very Rev . John A. Elbert, S.M., is Graduate Dean of Arts and Sciences, Professor of Philosophy, creator of the Interdisciplinary Seminar, former President of the University of Dayton. He is the author of a number of books
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