334,067 research outputs found

    Get Your Hale T-Shirt Today!

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    On May 22, 2018, a fire at Hale Library caused catastrophic damage. Join us in building a next-generation library for K-State students and researchers: Show your support with our new t-shirt. Proceeds will help restore and rebuild Hale Library

    New species of Parmeliaceae (lichenized Ascomycotina) from South America

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    The species Flavoparmelia quichuaensis Elix & T. H. Nash, Hypotrachyna divaricatica Elix & T. H. Nash, Hypotrachyna goiasii Elix & Nash, Hypotrachyna hypoalectorialica Elix & T. H. Nash and Relicina xanthoparmeliformis Elix & T. H. Nash are described as new to science

    Perturbational Blowup Solutions to the 2-Component Camassa-Holm Equations

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    In this article, we study the perturbational method to construct the non-radially symmetric solutions of the compressible 2-component Camassa-Holm equations. In detail, we first combine the substitutional method and the separation method to construct a new class of analytical solutions for that system. In fact, we perturb the linear velocity: u=c(t)x+b(t), and substitute it into the system. Then, by comparing the coefficients of the polynomial, we can deduce the functional differential equations involving (c(t),b(t),ρ2(0,t)).(c(t),b(t),\rho^{2}(0,t)). Additionally, we could apply the Hubble's transformation c(t)={\dot{a}(3t)}/{a(3t)}, to simplify the ordinary differential system involving (a(3t),b(t),ρ2(0,t))(a(3t),b(t),\rho ^{2}(0,t)). After proving the global or local existences of the corresponding dynamical system, a new class of analytical solutions is shown. And the corresponding solutions in radial symmetry are also given. To determine that the solutions exist globally or blow up, we just use the qualitative properties about the well-known Emden equation: {array} [c]{c} {d^{2}/{dt^{2}}}a(3t)= {\xi}{a^{1/3}(3t)}, a(0)=a_{0}>0 ,\dot{a}(0)=a_{1} {array} . Our solutions obtained by the perturbational method, fully cover the previous known results in "M.W. Yuen, \textit{Self-Similar Blowup Solutions to the 2-Component Camassa-Holm Equations,}J. Math. Phys., \textbf{51} (2010) 093524, 14pp." by the separation method.Comment: 12 page

    [Review of] Frederick Hale. The Swedes in Wisconsin

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    The Swedes in Wisconsin, Frederick Hale concludes, were the \u27\u27invisible immigrants\u27 of nineteenth and early twentieth-century America, never accounting for more than two percent of the Wisconsin state population. Hale avoids promoting the Swedes and, instead, realistically presents them as a minor part of a major European immigration. Hale\u27s realism means his primary focus is on the fluctuation and integration which characterized the Wisconsin Swedish presence

    The Hale solar sector boundary

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    A Hale solar sector boundary is defined as the half (Northern Hemisphere or Southern Hemisphere) of a sector boundary in which the change of sector magnetic field polarity is the same as the change of polarity from a preceding spot to a following spot. Above a Hale sector boundary the green corona has maximum brightness, while above a non-Hale boundary the green corona has a minimum brightness. The Hale portion of a photospheric sector boundary tends to have maximum magnetic field strength, while the non-Hale portion has minimum field strength
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