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We consider the problem of writing Glimm type interaction estimates for the
hyperbolic system
\begin{equation}\label{E:abs0}
u_t + A(u) u_x = 0.
\end{equation}
%only assuming that $A(u)$ is strictly hyperbolic.
The aim of these estimates is to prove that there is Glimm-type
functional $Q(u)$ such… |
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For a four-stream approximation of the kinetic model of radiative transfer with isotropic scattering, a numerical scheme endowed with both truly 2D well-balanced and diffusive asymptotic-preserving properties is derived, in the same spirit as what was done in [L. Gosse and G. Toscani, C. R. Math.… |
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We study the behavior of massless Dirac particles in the vacuum C-metric spacetime, representing the nonlinear superposition of the Schwarzschild black hole solution and the Rindler flat spacetime associated with uniformly accelerated observers. Under certain conditions, the C-metric can be… |
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Si discutono le definizione di soluzioni ad ODE discontinue in relazione al problema della ricostruzione delle traiettorie ottime da un feedback.
In particolare si danno condizioni su feedback stratificati alla Boltianskii-Brunovsky per avere l'uguaglianza fra soluzioni alla Krasowskii e… |
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This work presents a microscale approach for simulating the dielectrophoresis assembly of polarizable particles under an external electric field. The model is shown to capture interesting dynamical and topological features, such as the formation of chains of particles and their incipient… |
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The paper addresses the calculation of the value at risk (VaR) of the mathematical provision applied in a fair valuation context. Following a balance-sheet approach, the classical definition of VaR needs some clarifications. For identifying worst cases it is opportune to observe that an increase in… |
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Based on the past twenty-five years of lattice Boltzmann research, we venture into a far-flung prediction for the next twenty-five, with past and future privileged over the present state of affairs. Copyright (C) EPLA, 2015 |
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Using an algorithm for simulating equilibrium configurations, we study a fluctuating helical polymer either (i) contained in a cylindrical pore or (ii) wound around a cylindrical rod. We work in the regime where both the contour length and the persistence length of the helical polymer are much… |
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We propose a numerical method for approximating integro-differential equations arising in age-of-infection epidemic models. The method is based on a non-standard finite differences approximation of the integral term appearing in the equation. The study of convergence properties and the analysis of… |
