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The statistics of velocity differences between pairs of heavy inertial point particles suspended in an incompressible turbulent flow is studied and found to be extremely intermittent. The problem is particularly relevant to the estimation of the efficiency of collisions among heavy particles in… |
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We study the numerical approximation of viscosity solutions for
Parabolic Integro-Differential Equations (PIDE). Similar models arise
in option pricing, to generalize the Black-Scholes equation, when the
processes which generate the underlying stock returns may contain both
a continuous part and… |
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Given (Formula presented.), we discuss the embedding of (Formula presented.) in (Formula presented.). In particular, for (Formula presented.) we deduce its compactness on all open sets (Formula presented.) on which it is continuous. We then relate, for all q up the fractional Sobolev conjugate… |
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We obtain a comparison result for solutions to nonlinear fully anisotropic elliptic problems by means of anisotropic symmetrization. As consequence we deduce a priori estimates for norms of the relevant solutions. |
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Tra novembre 2020 e giugno 2021, l'Istituto per le Applicazioni del Calcolo "Mauro Picone" (IAC) ha realizzato un ciclo di seminari dedicati al rapporto tra Intelligenza Artificiale e Matematica, denominato AIM - Artificial Intelligence and Mathematics - Fundamentlas and beyond. Nel presente lavoro… |
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In the first part of this paper we review a mathematical model for the onset and progression of Alzheimer's disease (AD) that was developed in subsequent steps over several years. The model is meant to describe the evolution of AD in vivo. In Achdou et al (2013 J. Math. Biol. 67 1369-92) we treated… |
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To confront relativity theory with observation, it is necessary to split spacetime into its temporal and spatial components. The timelike threading approach involves fundamental observers that are at rest in space; indeed, this (1+3) splitting implies restrictions on the gravitational potentials $(… |
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We consider a model for detecting corrosion on the (inaccessible) conducting top side of a metallic plate. We suppose that the effects of corrosion attack consist in material loss.
The perturbation so induced in the geometry of the plate is described by a
positive function $\theta$. We prove… |
