5,564 research outputs found

    Appendix C: Faculty Publication

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    From the beginning the ILR faculty devoted much of its time and effort to the preparation and publication of works covering a wide range of subject matter within the industrial and labor relations field. Some of the faculty output addressed the interests of their scholarly colleagues and students but much was directed to practitioners and the general public as well

    A Variational Principle for the Asymptotic Speed of Fronts of the Density Dependent Diffusion--Reaction Equation

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    We show that the minimal speed for the existence of monotonic fronts of the equation ut=(um)xx+f(u)u_t = (u^m)_{xx} + f(u) with f(0)=f(1)=0f(0) = f(1) = 0, m>1m >1 and f>0f>0 in (0,1)(0,1) derives from a variational principle. The variational principle allows to calculate, in principle, the exact speed for arbitrary ff. The case m=1m=1 when f′(0)=0f'(0)=0 is included as an extension of the results.Comment: Latex, postcript figure availabl

    Magnetotransport in the low carrier density ferromagnet EuB_6

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    We present a magnetotransport study of the low--carrier density ferromagnet EuB_6. This semimetallic compound, which undergoes two ferromagnetic transitions at T_l = 15.3 K and T_c = 12.5 K, exhibits close to T_l a colossal magnetoresistivity (CMR). We quantitatively compare our data to recent theoretical work, which however fails to explain our observations. We attribute this disagreement with theory to the unique type of magnetic polaron formation in EuB_6.Comment: Conference contribution MMM'99, San Jos

    Traveling Wave Solutions of Advection-Diffusion Equations with Nonlinear Diffusion

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    We study the existence of particular traveling wave solutions of a nonlinear parabolic degenerate diffusion equation with a shear flow. Under some assumptions we prove that such solutions exist at least for propagation speeds c {\in}]c*, +{\infty}, where c* > 0 is explicitly computed but may not be optimal. We also prove that a free boundary hy- persurface separates a region where u = 0 and a region where u > 0, and that this free boundary can be globally parametrized as a Lipschitz continuous graph under some additional non-degeneracy hypothesis; we investigate solutions which are, in the region u > 0, planar and linear at infinity in the propagation direction, with slope equal to the propagation speed.Comment: 40 pages, 1 figur

    The ILR School at Fifty: Voices of the Faculty, Alumni & Friends (Full Text)

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    A collection of reflections on the first fifty years of the School of Industrial and Labor Relations at Cornell University. Compiled by Robert B. McKersie, J. Gormly Miller, Robert L. Aronson, and Robert R. Julian. Edited by Elaine Gruenfeld Goldberg. It was the hope of the compilers that the reflections contained in this book would both kindle memories of the school and stimulate interest on the part of future generations of ILRies who have not yet shared in its special history. Dedicated to the Memory of J. Gormly Miller, 1914-1995. Copyright 1996 by Cornell University. All rights reserved

    Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system

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    We study the problem of initiation of excitation waves in the FitzHugh-Nagumo model. Our approach follows earlier works and is based on the idea of approximating the boundary between basins of attraction of propagating waves and of the resting state as the stable manifold of a critical solution. Here, we obtain analytical expressions for the essential ingredients of the theory by singular perturbation using two small parameters, the separation of time scales of the activator and inhibitor, and the threshold in the activator's kinetics. This results in a closed analytical expression for the strength-duration curve.Comment: 10 pages, 5 figures, as accepted to Chaos on 2017/06/2

    Erosion waves: transverse instabilities and fingering

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    Two laboratory scale experiments of dry and under-water avalanches of non-cohesive granular materials are investigated. We trigger solitary waves and study the conditions under which the front is transversally stable. We show the existence of a linear instability followed by a coarsening dynamics and finally the onset of a fingering pattern. Due to the different operating conditions, both experiments strongly differ by the spatial and time scales involved. Nevertheless, the quantitative agreement between the stability diagram, the wavelengths selected and the avalanche morphology reveals a common scenario for an erosion/deposition process.Comment: 4 pages, 6 figures, submitted to PR

    Development of a theory of the spectral reflectance of minerals, part 2

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    Theory of diffuse reflectance of particulate media including garnet, glass, corundum powders, and mixture
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