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In this paper we deal with a semilinear hyperbolic chemotaxis model in one space dimension
evolving on a network, with suitable transmission conditions at nodes. This framework is motivated
by tissue-engineering scaffolds used for improving wound healing. We introduce a numerical scheme,
which… |
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We show that the First-Passage-Time probability distribution of a Lévy time-changed Brownian motion with drift is solution of a time fractional advection-diffusion equation subject to initial and boundary conditions; the Caputo fractional derivative with respect to time is considered. We propose a… |
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We consider a mathematical model for fluid-dynamic flows on networks
which is based on conservation laws. Road networks are considered as
graphs composed by arcs that meet at some junctions.
The crucial point is represented by junctions, where interactions
occurr and the problem is underdetermined… |
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The dynamic interaction of complex fluid interfaces is highly sensitive to near-contact interactions occurring at the scale of ten of nanometers. Such interactions are difficult to analyze because they couple self-consistently to the dynamic morphology of the evolving interface, as well as to the… |
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The starting transient of highly under-expanded supersonic jets is studied by means of very high resolution weighted essentially non oscillatory finite volume schemes, coupled with a positivity-preserving scheme in order to ensure positivity of pressure and density for high compression/expansion… |
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A hybrid lattice Boltzmann method (LBM) for binary mixtures based on the free-energy approach is proposed. Nonideal terms of the pressure tensor are included as a body force in the LBM kinetic equations, used
to simulate the continuity and Navier-Stokes equations. The convection-diffusion equation… |
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We investigate the motion of uncharged particles scattered by a binary system consisting of extremely charged black holes in equilibrium as described by the Majumdar-Papapetrou solution. We focus on unbound orbits confined to the plane containing both black holes. We consider the two complementary… |
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The intracellular signalling network of the p53 protein plays important roles in genome protection and the control of cell cycle phase transitions. Recently observed oscillatory behaviour in single cells under stress conditions has inspired several research groups to simulate and study the dynamics… |
