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Mass transport and diffusion phenomena in the arterial lumen are studied through a mathematical
model. Blood flow is described by the unsteady Navier -Stokes equation and solute dynamics by an
advection-diffusion equation, the convective field being provided by the fluid velocity. A linearization… |
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This paper concerns the study of a non-smooth logistic regression function. The focus is on a high-dimensional binary response case by penalizing the decomposition of the unknown logit regression function on a wavelet basis of functions evaluated on the sampling design. Sample sizes are arbitrary (… |
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A numerical study of turbulence seeded with light particles is presented. We analyze the statistical properties of coherent, small-scale structures by looking at the trapping events of light particles inside vortex filaments. We study the properties of particles attracting set, measuring its… |
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An improvement of a mathematical model of the galvanic iron corrosion, previously presented by one of the authors, is here proposed. The iron(III)-hydroxide formation is, now, considered in addition to the redox reaction. The PDE system, assembled on the basis of the fundamental holding electro-… |
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We study the kinetics of domain growth of fluid mixtures quenched from a
disordered to a lamellar phase. At low viscosities, in two dimensions, when hydrodynamic
modes become important, dynamical scaling is verified in the form C(k, t) ~ L
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f[(k - kM)L],
where C is the structure factor with… |
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The problem of classifying multispectral image data is studied here. We propose a new Bayesian method for this. The method uses "a priori" spatial information modeled by means of a suitable Markov random field. The image data for each class are assumed to be i.i.d. following a multivariate Gaussian… |
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We consider a simplified 1-dimensional PDE-model describing the effect of contact inhibition in
growth processes of normal and abnormal cells.
Varying the value of a significant parameter, numerical tests suggest
two different types of contact inhibition between the cell populations:
the two… |
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Many scientific applications require the solution of large and sparse linear systems of equations using Krylov subspace methods; in this case, the choice of an effective preconditioner may be crucial for the convergence of the Krylov solver. Algebraic MultiGrid (AMG) methods are widely used as… |
