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A new class of multiscale scheme is presented for micro-hydrodynamic problems based on a dual representation of the fluid observables. The hybrid model is first tested against the classical flow between two parallel plates and then applied to a plug flow within a micrometer-sized striction and a… |
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In this work we study a finite dynamical system for the description of the
bifurcation pattern of the convection flow of a fluid between two parallel
horizontal planes which undergoes a {\em horizontal} gradient of temperature
({\em horizontal} convection flow). Although in the two-dimensional… |
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An Ermakov-Pinney-like equation associated with the scalar wave equation in curved space-time is here studied. The example of Schwarzschild space-time considered in the present work shows that this equation can be viewed more as a "model equation," with interesting applications in black hole… |
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Optimal management of flows arising in the bioventing techniques (BV) for soil remediation problems is considered. The aim is to determine optimal locations and flow rates of injection and extraction wells, in order to cover the contaminated region by a uniform air velocity flow field.
An air flow… |
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We prove existence and uniqueness for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension. The initial data of the problem is a finite superposition of Dirac masses, whereas the flux is Lipschitz… |
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In this paper we consider a collocation and a discrete collocation method for a Volterra integral
equation with logarithmic perturbation kernel. We prove convergence and stability of these methods in a pair of Sobolev type
spaces. |
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Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and \emph{speed} diagrams) show some peculiarities not yet fully reproduced nor explained by mathematical models.… |
