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In this paper, we systematically apply the mathematical structures by time-evolving measures developed in a previous work to the macroscopic modeling of pedestrian flows. We propose a discrete-time Eulerian model, in which the space occupancy by pedestrians is described via a sequence of Radon-… |
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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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We study numerically the effect of thermal fluctuations and of variable fluid-substrate interactions on the spontaneous dewetting of thin liquid films. To this aim, we use a recently developed lattice Boltzmann method for thin liquid film flows, equipped with a properly devised stochastic term.… |
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A sharp integrability condition on the right-hand side of the p-Laplace system for all its solutions
to be continuous is exhibited. Their uniform continuity is also analyzed and estimates for their modulus
of continuity are provided. The relevant estimates are shown to be optimal as the right-hand… |
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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 consider a one-dimensional, isentropic, hydrodynamical model for a unipolar semiconductor, with the mobility depending on the electric field. The mobility is related to the momentum relaxation time, and field-dependent mobility models are commonly used to describe the occurrence of saturation… |
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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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We present a nonlinear Langevin model to investigate the early-stage dynamics of electrified polymer jets in electrospinning experiments. In particular, we study the effects of air drag force on the uniaxial elongation of the charged jet, right after ejection from the nozzle. Numerical simulations… |
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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… |
