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We construct a model of traffic flow with sources and destinations on a road s network. The model is based on a conservation law for the density of traffic and on semilinearequations for traffic-type functions, i. e. functions describing paths for cars. |
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We perform direct numerical simulations of three-dimensional Rayleigh-Taylor turbulence with a nonuniform singular initial temperature background. In such conditions, the mixing layer evolves under the driving of a varying effective At wood number; the long-time growth is still self-similar, but no… |
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We examine spatially explicit models described by reaction-diffusion partial differential equations for the study of predator-prey population dynamics. The numerical methods we propose are based on the coupling of a finite difference/element spatial discretization and a suitable partitioned Runge-… |
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In this paper a unified model for both detection and restoration of line scratches on color movies is presented. It exploits a generalization of the light diffraction effect for modeling the shape of scratches, while perception laws are used for their automatic detection and removal. The detection… |
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We present a regularized version of the color gradient lattice Boltzmann (LB) scheme for the simulation of droplet formation in microfluidic devices of experimental relevance. The regularized version is shown to provide computationally efficient access to capillary number regimes relevant to… |
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Gene therapy is a promising approach for treating a wide range of human pathologies such as genetic disorders as well as diseases acquired over time. Viral and non-viral vectors are used to convey sequences of genes that can be expressed for therapeutic purposes. Plasmid DNA is receiving… |
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The rheological behaviour of an emulsion made of an active polar component and an isotropic passive fluid is studied by lattice Boltzmann methods. Different flow regimes are found by varying the values of the shear rate and extensile activity (occurring, e.g., in microtubule-motor suspensions). By… |
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We study in what sense one can determine the flux functions k = k(x) and f = f(u), k piecewise constant, in the scalar hyperbolic conservation law u(t) + (k(x)f (u))(x) = 0 by observing the solution u(t, center dot) of the Cauchy problem with suitable piecewise constant initial data u vertical bar(… |
