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Asymptotically convolution Volterra equations are characterized by kernel functions which exponentially
decay to convolution ones. Their importance in the applications motivates a numerical analysis of the
asymptotic behavior of the solution. Here the quasi-convolution nature of the kernel is… |
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We present the open-source computer program JETSPIN, specifically designed to simulate the electro-spinning process of nanofibers. Its capabilities are shown with proper reference to the underlying model, as well as a description of the relevant input variables and associated test-case simulations… |
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Mass transport and diffusion phenomena in the arterial lumen are studied through a mathematical
model. Blood flow is described by the unsteady Navier -Stokes equation and solute dynamics by an
advection-diffusion equation, the convective field being provided by the fluid velocity. A linearization… |
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The linear-order effects of radiation-reaction on the classical scattering of two point masses, in general relativity, are derived by a variation-of-constants method. Explicit expressions for the radiation-reaction contributions to the changes of 4-momentum during scattering are given to linear… |
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PDE models for network flows are used in a number of different applications, including modeling of water channel networks. While the theory and first-order numerics are well developed, there is a lack of high-order schemes. We propose a Runge-Kutta discontinu- ous Galerkin method as an efficient,… |
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An improvement of a mathematical model of the galvanic iron corrosion, previously presented by one of the authors, is here proposed. The iron(III)-hydroxide formation is, now, considered in addition to the redox reaction. The PDE system, assembled on the basis of the fundamental holding electro-… |
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We study the kinetics of domain growth of fluid mixtures quenched from a
disordered to a lamellar phase. At low viscosities, in two dimensions, when hydrodynamic
modes become important, dynamical scaling is verified in the form C(k, t) ~ L
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f[(k - kM)L],
where C is the structure factor with… |
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We consider low-energy configurations for the Heitmann-Radin sticky discs functional, in the limit of diverging number of discs. More precisely, we renormalize the Heitmann-Radin potential by subtracting the minimal energy per particle, i.e. the so-called kissing number. For configurations whose… |
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A new algorithm for the solution of free surface flows with large front deformation and fragmentation is presented. The algorithm is obtained by coupling a classical Finite Volume (FV) approach, that discretizes the Navier-Stokes equations on a block structured Eulerian grid, with an approach based… |
