3,560 research outputs found

    Frank Schott family

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    Photograph shows the Frank Schott, Sr., family.''(L. to r.) standing: Frank, Emil, Joe, August, Mary Lydia, Bertha, Charles, Josephine, Robert, Gene, Louie, and seated Frank, Sr. (who lived in the Haby Settlement)

    Sharp decay estimates for critical Dirac equations

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    We prove sharp pointwise decay estimates for critical Dirac equations on R^n with n ≥ 2. They appear for instance in the study of critical Dirac equations on compact spin manifolds, describing blow-up profiles, and as effective equations in honeycomb structures. For the latter case, we find excited states with an explicit asymptotic behavior. Moreover, we provide some classification results both for ground states and for excited states

    Odontolinus Sharp 1885

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    Odontolinus Sharp 1885 Odontolinus Sharp 1885: 454. Type species: Odontolinus fasciatus Sharp, 1885, by monotypy. Note: Odontolinus is a Neotropical genus with two species known at present; revision and phylogenetic placement (Chani-Posse & Solodovnikov 2017). Odontolinus campanensis Chani-Posse & Solodovnikov 2017 Odontolinus campanensis Chani-Posse & Solodovnikov 2017: 94. Type locality: Panamá: Cerro Campana, (Capira), 8°44′N, 79°57′W, 790 m, 1 June 1995, J. Ashe, R. Brooks, ex. Heliconia flowers #096. Type depository: SEMC HT ♂, 1 PT ♀. Distribution: Panama. Odontolinus fasciatus Sharp 1885 Odontolinus fasciatus Sharp 1885: 454. Type locality: Panama, Bugaba 800 to 1500 feet [LT]. Type depository: BMNH LT ♂, 8 PLT, FMNH 2 PLT. Distribution: Honduras, Nicaragua, Costa Rica, Panama, Ecuador. Notes: lectotype designation, redescription, distribution, phylogeny (Chani-Posse & Solodovnikov 2017: 92); biology (Frank & Barrera 2010).Published as part of Chani-Posse, Mariana, Newton, Alfred F., Hansen, Aslak Kappel & Solodovnikov, Alexey, 2018, Checklist and taxonomic changes for Central and South American Philonthina (Coleoptera: Staphylinidae), pp. 1-95 in Zootaxa 4449 (1) on page 50, DOI: 10.11646/zootaxa.4449.1.1, http://zenodo.org/record/145430

    We hold a second-degree larceny warrant for LEROY C. SHEAR, alias L. C. Stewart, alias Chas R. Clark alias Frank Mallery

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    We hold a second-degree larceny warrant for LEROY C. SHEAR, alias L. C. Stewart, alias Chas R. Clark alias Frank Mallery, a noted swindler, forger, and all-round slick article, who is under bond by the Fidelity & Deposit Co., of Baltimore, Md. Leroy C. Shear: DESCRIPTJON. Fifty-four to fifty-five years of age, about six feet tall, about 135 pounds, very slim build, light complexion, blue eyes, dark brown hair mixed with grey, also brown, grey mixed heard chopped off short at sides, long thin nose, very nervous, can­ not sit still, New Yorker by birth. Wore when last seen a dark blue suit, silk-faced in front, and black fedora hat. Canvassed for the Model Building and Loan Bank of Syracuse, last. Was arrested by Det. Sweeney, of Albany, N. Y., August I7, 1891. sent to Albany Penitentiary for two years-released August 19, 1893, re-arrested same day by L. D. Little, Chief of Police, Elmira, N. Y. A Reward of One Hundred Dollars is offered for the arrest and detention of Shear until one of our officers can reach him-payable by the Fidelity & Deposit Company, of Baltimore, Md. Please keep a sharp lookout for him-arrest, hold and wire

    Sharp constants in several inequalities on the Heisenberg group

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    We derive the sharp constants for the inequalities on the Heisenberg group H^n whose analogues on Euclidean space R^n are the well known Hardy-Littlewood-Sobolev inequalities. Only one special case had been known previously, due to Jerison-Lee more than twenty years ago. From these inequalities we obtain the sharp constants for their duals, which are the Sobolev inequalities for the Laplacian and conformally invariant fractional Laplacians. By considering limiting cases of these inequalities sharp constants for the analogues of the Onofri and log-Sobolev inequalities on H^n are obtained. The methodology is completely different from that used to obtain the R^n inequalities and can be (and has been) used to give a new, rearrangement free, proof of the HLS inequalities

    Sharp weighted fractional Hardy inequalities

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    We investigate the weighted fractional order Hardy inequality ΩΩf(x)f(y)pxyd+spdist(x,Ω)αdist(y,Ω)βdydxCΩf(x)pdist(x,Ω)sp+α+βdx, \int_{\Omega}\int_{\Omega}\frac{|f(x)-f(y)|^{p}}{|x-y|^{d+sp}}\text{dist}(x,\partial\Omega)^{-\alpha}\text{dist}(y,\partial\Omega)^{-\beta}\,dy\,dx\geq C\int_{\Omega}\frac{|f(x)|^{p}}{\text{dist}(x,\partial\Omega)^{sp+\alpha+\beta}}\,dx, for Ω=Rd1×(0,)\Omega=\mathbb{R}^{d-1}\times(0,\infty), Ω\Omega being a convex domain or Ω=Rd{0}\Omega=\mathbb{R}^d\setminus\{0\}. Our work focuses on finding the best (i.e. sharp) constant C=C(d,s,p,α,β)C=C(d,s,p,\alpha,\beta) in all cases. We also obtain weighted version of the fractional Hardy-Sobolev-Maz'ya inequality. The proofs are based on general Hardy inequalities and the non-linear ground state representation, established by Frank and Seiringer.Comment: 14 pages, 1 figur

    Sharp local well-posedness for the "good" Boussinesq equation

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    In the present article, we prove the sharp local well-posedness and ill-posedness results for the "good" Boussinesq equation on 1d torus; the initial value problem is locally well-posed in H[−1/2](T) and ill-posed in H[s](T) for s (-3/8) given by Oh, Stefanov (2012). Similar ideas also establish the sharp local well-posedness in H[−1/2](R) and ill-posedness below H[−1/2] for the nonperiodic case, which improves the result of Tsugawa and the author (2010) in H[s](R) with s > (-1/2

    Entrainment of a turbulent patch in a stratified fluid

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    Turbulent patches are localized events of turbulence, typically characterized by sharp differences between the flow characteristics across their interfaces. These localized events might add to the global mixing, heat exchange and mass transfer, playing a non-negligible role in the total energy balance in lakes or the ocean. This study takes a detailed look at the inner structure of a localized, mechanically forced patch in a linearly stratified ambient using laboratory experiments utilizing synchronized PIV and PLIF. The results point out that the role of the turbulent/non-turbulent interface at the edge of the patch could be significant in determining the growth rate and the maximum size of the patch

    On the base pressure of 3D turbulent bluff body wakes with sharp separation

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    Particle Image Velocimetry (PIV) and pressure measurements are used to study the turbulent wake of Ahmed bluff body. A cavity on the base is created to control the base pressure and modify the recirculating bubble and its equilibrium

    Blunt and Sharp Notch Behaviour of Glare Laminates

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    Glare laminates are materials that consist of alternating aluminium and glass prepreg layers especially designed for aeroplane structures. The result is a material that combines the properties of its constituents and the properties of a bonded structure. Some of the favourable characteristics of Glare are its fatigue, impact and fire resistance properties and the possibility to create tailored design solutions. After 25 years of development and extensive investigations within the aerospace environment, Glare is now ready to be applied for industrial production. It will be applied in large parts of the new Airbus A380 fuselage, which is planned to have its first flight in 2004. This research describes the behaviour of Glare with holes that are made within production and the behaviour when the material is damaged due to an impact like for example a bird strike or an engine seperationf what creates cracks. These holes and this damage are regarded as blunt and sharp notches respectively. The failure mechanisms that were observed are investigated and function as the basis for the development of engineering calculation methods for the blunt and sharp notch behaviour of arbitrary Glare laminates. Additional research concerning the behaviour of spliced Glare laminates in the presence of notches, the presence of a crack in a row of holes and the development of Glare with crack stoppers is presented.Aerospace Engineerin
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