1,435 research outputs found

    AGRESTE Program. Part 2: French test-sites

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    There are no author-identified significant results in this report

    A semi-Lagrangian scheme for the game pp-Laplacian via pp-averaging

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    We present and analyze an approximation scheme for the two-dimensional game pp-Laplacian in the framework of viscosity solutions. The approximation is based on a semi-Lagrangian scheme which exploits the idea of pp-averages. We study the properties of the scheme and prove that it converges, in particular cases, to the viscosity solution of the game pp-Laplacian. We also present a numerical implementation of the scheme for different values of pp; the numerical tests show that the scheme is accurate.Comment: 34 pages, 3 figures. To appear on Applied Numerical Mathematic

    Agricultural resources investigations in northern Italy and southern France (AGRESTE Project). Part 1: Italian test-sites

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    There are no author-identified significant results in this report

    A new mathematical model for traveling sand dunes: analysis and approximation

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    We present a new two-layer closed form model for the dynamics of desert dunes under the effect of a horizontal wind blowing in an arbitrary direction. This model is an extension of a very simplified model previously introduced by Hadeler and Kuttler [12]. Our extension, inspired by the sandpile dynamics approach, includes the effects of gravity on both sides (upwind and downwind) of the dune, and allows to describe erosion and deposition in a more accurate way. After a discussion of the model and its properties we present a numerical scheme based on finite differences in 1D and we prove its consistency and stability. Some numerical tests show a good qualitative behavior and a realistic shape for the evolving dunes. Finally, we discuss the preliminary steps of a possible extension of this model to the 2D case

    An existence result for the sandpile problem on flat tables with walls

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    We derive an existence result for solutions of a differential system which characterizes the equilibria of a particular model in granular matter theory, the so-called partially open table problem for growing sandpiles. Such result generalizes a recent theorem of Cannarsa and Cardaliaguet established for the totally open table problem. Here, due to the presence of walls at the boundary, the surface flow density at the equilibrium may result no more continuous nor bounded, and its explicit mathematical characterization is obtained by domain decomposition techniques. At the same time we show how these solutions can be numerically computed as stationary solutions of a dynamical two-layer model for growing sandpiles and we present the results of some simulations.Comment: 15 pages, 11 figure

    A Real-time Calculus Approach for Integrating Sporadic Events in Time-triggered Systems

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    In time-triggered systems, where the schedule table is predefined and statically configured at design time, sporadic event-triggered (ET) tasks can only be handled within specially dedicated slots or when time-triggered (TT) tasks finish their execution early. We introduce a new paradigm for synthesizing TT schedules that guarantee the correct temporal behavior of TT tasks and the schedulability of sporadic ET tasks with arbitrary deadlines. The approach first expresses a constraint for the TT task schedule in the form of a maximal affine envelope that guarantees that as long as the schedule generation respects this envelope, all sporadic ET tasks meet their deadline. The second step consists of modeling this envelope as a burst limiting constraint and building the TT schedule via simulating a modified Least-Laxity-First (LLF) scheduler. Using this novel technique, we show that we achieve equal or better schedulability and a faster schedule generation for most use-cases compared to other approaches inspired by, e.g., hierarchical scheduling. Moreover, we present an extension to our method that finds the most favourable schedule for TT tasks with respect to ET schedulability, thus increasing the probability of the computed TT schedule remaining feasible when ET tasks are later added or changed

    Mixed mucus-secreting and oncocytic carcinoma of the thyroid - Pathologic, histochemical, immunohistochemical, and ultrastructural study of a case

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    We report a carcinoma that is, to the best of our knowledge, the first case of a mixed mucus-secreting and oncocytic carcinoma of the thyroid. We also describe the histochemical, immunohistochemical, and ultrastructural features of this tumor. A 59-year-old man complaining of severe bone pain and weight loss underwent clinical and radiologic investigations. The studies revealed a nodule in the left thyroid lobe that was "cold" by (131)I scintiscan and multiple lytic lesions of the skeleton that showed increased uptake by (99m)Tc-Sestamibi scintiscan. Left hemithyroidectomy was performed and the surgical specimen contained a well-circumscribed nodule of 3 cm in the greatest diameter. Light microscopy showed an oncocytic carcinoma with an area of glandular and papillary proliferation of mucin-producing cells. A double histochemical approach (Alcian blue-periodic acid-Schiff and Alcian blue-high-iron diamine) combined with ultrastructural investigation confirmed the presence of true mucus, ruling out the presence of breakdown products of thyroglobulin. Ultrastructural and immunohistochemical studies, together with clinical findings, excluded a possible metastatic origin of the mucin-producing componen

    Model for Gravitational Interaction between Dark Matter and Baryons

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    We propose a phenomenological model where the gravitational interaction between dark matter and baryons is suppressed on small, subgalactic scales. We describe the gravitational force by adding a Yukawa contribution to the standard Newtonian potential and show that this interaction scheme is effectively suggested by the available observations of the inner rotation curves of small mass galaxies. Besides helping in interpreting the cuspy profile of dark matter halos observed in N-body simulations, this potential regulates the quantity of baryons within halos of different masses.Comment: 4 pages, 2 figures, final versio

    Damage in step-overs may enable large cascading earthquakes

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    Seismic hazard analysis relies on the ability to predict whether an earthquake will terminate at a fault tip or propagate onto adjacent faults, cascading into a larger, more devastating event. While ruptures are expected to arrest at fault discontinuities larger than 4–5 km, scientists are often puzzled by much larger rupture jumps. Here we show that material properties between faults significantly affect the ability to arrest propagating ruptures. Earthquake simulations accounting for fault step-over zones weakened by accumulated damage provide new insights into rupture propagation. Revealing that lowered rigidity and material interfaces promote rupture propagation, our models show for the first time that step-overs as wide as 10 km may not constitute effective earthquake barriers. Our results call for re-evaluation of seismic hazard analyses that predict rupture length and earthquake magnitude based on historic records and fault segmentation models
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