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A (2+2)-dimensional kinetic equation, directly inspired by the run-and-tumble modeling
of chemotaxis dynamics is studied so as to derive a both ''2D well-balanced'' and
''asymptotic-preserving'' numerical approximation. To this end, exact stationary regimes
are expressed by means of Laplace… |
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Magnetic resonance spectroscopy (MRS) has been shown to be a potentially important medical diagnostic tool. The success of MRS depends on the quantitative data analysis, i.e., the interpretation of the signal in terms of relevant physical parameters, such as frequencies, decay constants, and… |
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The Lagrangian statistics of heavy particles and of fluid tracers transported by a fully developed turbulent flow are investigated by means of high resolution direct numerical simulations. The Lagrangian velocity structure functions are measured in a time range spanning about three decades, from a… |
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We consider a hybrid control system and general optimal control problems for this
system. We suppose that the switching strategy imposes restrictions on control sets and we provide
necessary conditions for an optimal hybrid trajectory, stating a Hybrid Necessary Principle (HNP).
Our result… |
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We provide a brief survey of our current developments in the simulation-based design of novel families of mesoscale porous materials using computational kinetic theory. Prospective applications on exascale computers are also briefly discussed and commented on, with reference to two specific… |
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By tailoring the geometry of the upper boundary in turbulent Rayleigh-Benard convection we manipulate the boundary layer-interior flow interaction, and examine the heat transport using the lattice Boltzmann method. For fixed amplitude and varying boundary wavelength., we find that the exponent beta… |
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A prodromal phase of Parkinson's disease (PD) may precede motor manifestations by decades. PD patients' siblings are at higher risk for PD, but the prevalence and distribution of prodromal symptoms are unknown. The study objectives were (1) to assess motor and non-motor features estimating… |
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We consider a cell growth model involving a nonlinear system of partial differential equations which describes the growth of two types of cell populations with contact inhibition. Numerical experiments show that there is a parameter regime where, for a large class of initial data, the large time… |
