5,208 research outputs found

    Lorentzian homogeneous spaces admitting a homogeneous structure of type T1+T3

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    We show that a Lorentzian homogeneous space admitting a homogeneous structure of type T1 + T3 is either a (locally) symmetric space or a singular homogeneous plane wave.Comment: 7 pages, Latex2e, a small note and a reference adde

    Photonic-Doppler-Velocimetry, Paraxial-Scalar Diffraction Theory and Simulation

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    Author Institution: Lawrence Livermore National Laborator

    Ill-posedness of degenerate dispersive equations

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    In this article we provide numerical and analytical evidence that some degenerate dispersive partial differential equations are ill-posed. Specifically we study the K(2,2) equation ut=(u2)xxx+(u2)xu_t = (u^2)_{xxx} + (u^2)_{x} and the "degenerate Airy" equation ut=2uuxxxu_t = 2 u u_{xxx}. For K(2,2) our results are computational in nature: we conduct a series of numerical simulations which demonstrate that data which is very small in H2H^2 can be of unit size at a fixed time which is independent of the data's size. For the degenerate Airy equation, our results are fully rigorous: we prove the existence of a compactly supported self-similar solution which, when combined with certain scaling invariances, implies ill-posedness (also in H2H^2)

    The philosophical basis of aesthetic criticism.

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    Serfati solutions to the 2D Euler equations on exterior domains

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    We prove existence and uniqueness of a weak solution to the incompressible 2D Euler equations in the exterior of a bounded smooth obstacle when the initial data is a bounded divergence-free velocity field having bounded scalar curl. This work completes and extends the ideas outlined by P. Serfati for the same problem in the whole-plane case. With non-decaying vorticity, the Biot-Savart integral does not converge, and thus velocity cannot be reconstructed from vorticity in a straightforward way. The key to circumventing this difficulty is the use of the Serfati identity, which is based on the Biot-Savart integral, but holds in more general settings.Comment: 50 page

    Influence of relative humidity on tensile and compressive creep of concrete amended with ground granulated blast-furnace slag

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    This paper presents an experimental study on the influence of ambient relative humidity on tensile creep of plain concrete amended with Ground Granulated Blast - furnace Slag and compares it with its influence on compressive creep. Tensile and compressive creep tests were carried out on concrete specimens of 34.49 MPa compressive strength and 0.56 water/binder ratio at 51, 68 and 100% relative humidity. The results show a linear relationship between compressive creep and relative humidity; this cannot be said about tensile creep. Tensile creep was observed to be more sensitive to change in ambient humidity than compressive creep. Based on equal applied stress, tensile creep was found to be several times higher than compressive creep and the difference was great er in drying creep than in basic creep. On the basis of equal stress/strength ratio, tensile - to - compressive creep ratio was slightly less than 1 for drying creep and much less for basic creep. Keywords: Compressive Creep, Concrete, Relative Humidity, Strain, Strength, Tensile Cree

    Melting of hexagonal skyrmion states in chiral magnets

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    Skyrmions are spiral structures observed in thin films of certain magnetic materials (Uchida et al 2006 Science 311 359–61). Of the phases allowed by the crystalline symmetries of these materials (Yi et al 2009 Phys. Rev. B 80 054416), only the hexagonally packed phases (SCh) have been observed. Here the melting of the SCh phase is investigated using Monte Carlo simulations. In addition to the usual measure of skyrmion density, chiral charge, a morphological measure is considered. In doing so it is shown that the low-temperature reduction in chiral charge is associated with a change in skyrmion profiles rather than skyrmion destruction. At higher temperatures, the loss of six-fold symmetry is associated with the appearance of elongated skyrmions that disrupt the hexagonal packing

    Grabežljiva stjenica Rhynocoris fuscipes (FABRICIUS) učinkovito potinula zaraženost mahuna Cajanus cajan od štetnika Helicoverpa armigera (HÜBNER), Nezara viridula (L.) i Riptortus clavatus Thunberg u kavezima u polju

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    Rhynocoris fuscipes effectively suppressed the infestation of Helicoverpa armigera, Nezara viridula and Riptortus clavatus in pigeonpea field cages. Reduced pod and flower damages were observed in R. fuscipes released field cages. R. fuscipes release significantly enhanced the yield of healthy pods (grains). Field observations suggested this predator\u27s pest suppression and grain damage reduction efficacy.Predator Rhynocoris fuscipes učinkovito je potisnuo zarazu vrstama Helicoverpa armigera, Nezara viridula i Riptortus clavatus u poljskim kavezima. Zapaženo je smanjenje šteta na mahunama i cvjetovima biljke kajan (Cajanus cajan) u kavezima u koje su ispušteni R. fuscipes. Prisutnost predatora signifikantno je povećala prirod zdravih mahuna i zrna. Poljski pokusi ukazuju na učinak predatora na smanjenje zaraze štetnicima i sniženje šteta
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