20,649 research outputs found

    Elliptic equations with transmission and Wentzell boundary conditions and an application to steady water waves in the presence of wind

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    In this paper, we present results about the existence and uniqueness of solutions of elliptic equations with transmission and Wentzell boundary conditions. We provide Schauder estimates and existence results in H\"older spaces. As an application, we develop an existence theory for small-amplitude two-dimensional traveling waves in an air-water system with surface tension. The water region is assumed to be irrotational and of finite depth, and we permit a general distribution of vorticity in the atmosphere.Comment: 33 page

    Almost Everywhere Strong Summability of two-dimensional Walsh-Fourier Series

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    It is proved a BMO-estimation for quadratic partial sums of two-dimensional Walsh-Fourier series from which it is derived an almost everywhere exponential summability of quadratic partial sums of double Walsh-Fourier series.Comment: arXiv admin note: substantial text overlap with arXiv:1310.821

    The oxygen abundance deficiency in irregular galaxies

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    The observed oxygen abundances in a number of irregular galaxies have been compared with predictions of the closed-box model of chemical and photometric evolution of galaxies. Oxygen is found to be deficient with respect to the predicted abundances. This is an indicator in favor of loss of heavy elements via galactic winds or/and of infall of low--abundance gas onto the galaxy. The oxygen abundance deficiency observed within the optical edge of a galaxy cannot be explained by mixing with the gas envelope observed outside the optical limit. We confirm the widespread idea that a significant part of the heavy elements is ejected by irregular galaxies in the intergalactic medium.Comment: 8 pages, 7 figures, accepted for publication in Astronomy and Astrophysic

    Measurement of the ratio of the 3-jet to 2-jet cross sections in pp collisions at √s = 7 TeV

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    A measurement of the ratio of the inclusive 3-jet to 2-jet cross sections as a function of the total jet transverse momentum, H_T, in the range 0.20.5 TeV. This measurement extends to an H_T range that has not been explored before

    Measurement of the B_s^0 Production Cross Section with B_s^0 → J/ÏˆĂž Decays in pp Collissions at √s = 7 TeV

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    The B_s^0 differential production cross section is measured as functions of the transverse momentum and rapidity in pp collisions at √s=7  TeV, using the B_s^0→J/ψϕ decay, and compared with predictions based on perturbative QCD calculations at next-to-leading order. The data sample, collected by the CMS experiment at the LHC, corresponds to an integrated luminosity of 40  pb^(-1). The B_s^0 is reconstructed from the decays J/ψ → ÎŒ^+ÎŒ^- and ϕ → K^+K^-. The integrated B_s^0 cross section times B_s^0 → J/ψϕ branching fraction in the range 8 < p_T^B < 50  GeV/c and |y^B| < 2.4 is measured to be 6.9±0.6±0.6  nb, where the first uncertainty is statistical and the second is systematic

    First measurement of hadronic event shapes in pp collisions at √s = 7 TeV

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    Hadronic event shapes have been measured in proton–proton collisions at √s = 7 TeV source, with a data sample collected with the CMS detector at the LHC. The sample corresponds to an integrated luminosity of 3.2 pb^(−1). Event-shape distributions, corrected for detector response, are compared with five models of QCD multijet production
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