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In this work a physical modelling framework is presented, describing the intelligent, non-local, and anisotropic behaviour of pedestrians. Its phenomenological basics and constitutive elements are detailed, and a qualitative analysis is provided. Within this common framework, two first-order… |
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We study the motion of test particles and electromagnetic waves in the KerrNewmanTaubNUT spacetime in order to elucidate some of the effects associated with the gravitomagnetic monopole moment of the source. In particular, we determine in the linear approximation the contribution of this… |
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A recently proposed mesoscale approach for the simulation of multicomponent flows with near-contact interactions is employed to investigate the early stage formation and clustering statistics of soft flowing crystals in microfluidic channels. Specifically, we first demonstrate the ability of the… |
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We present a lattice Boltzmann realization of Grad's extended hydrodynamic approach to nonequilibrium flows. This is achieved by using higher-order isotropic lattices coupled with a higher-order regularization procedure. The method is assessed for flow across parallel plates and three-dimensional… |
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We propose a mathematical model for the dynamics of spread of a viral infection in the organism which incorporates a continuously distributed intracellular delay. The model, consisting of a set of second type Volterra integral equations, can account for viruses having different mechanisms of… |
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We propose a semilinear relaxation approximation to the unique entropy solutions of an initial boundary value problem for a scalar conservation law. Without any restriction on the initial--boundary data or on
the flux function, we prove uniform a priori estimates and convergence of that… |
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Personalized medicine (PM) moves at the same pace of data and technology and calls for important changes in healthcare. New players are participating, providing impulse to PM. We review the conceptual foundations for PM and personalized healthcare and their evolution through scientific publications… |
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We correct an error in the proof of Theorem 4.1 of the
paper "Boundedness of solutions to anisotropic variational problems" [Comm. Part. Diff. Eq. 36 (2011); 470-486]. |
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In this paper we present some variational methods for the homogeneous and non-homogeneous steady Boltzmann equation for semiconductors.
We consider applications of these methods to the evaluation of the mobility and, in the non-homogeneous case, also of the diffusivity. |
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We present a numerical study of the dynamics of a non-ideal fluid subject to a density-dependent pseudo-potential characterized by a hierarchy of nested attractive and repulsive interactions. It is shown that above a critical threshold of the interaction strength, the competition between stable and… |
