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It is known that, if u is a real valued function on R^n of bounded variation, then its total variation decreases
under polarization. In this paper we identify the difference between the total variation of u and that one of its
polar u_{\pi}. |
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We study numerically the effect of thermal fluctuations and of variable fluid-substrate interactions on the spontaneous dewetting of thin liquid films. To this aim, we use a recently developed lattice Boltzmann method for thin liquid film flows, equipped with a properly devised stochastic term.… |
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A sharp integrability condition on the right-hand side of the p-Laplace system for all its solutions
to be continuous is exhibited. Their uniform continuity is also analyzed and estimates for their modulus
of continuity are provided. The relevant estimates are shown to be optimal as the right-hand… |
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We consider a one-dimensional, isentropic, hydrodynamical model for a unipolar semiconductor, with the mobility depending on the electric field. The mobility is related to the momentum relaxation time, and field-dependent mobility models are commonly used to describe the occurrence of saturation… |
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We present a nonlinear Langevin model to investigate the early-stage dynamics of electrified polymer jets in electrospinning experiments. In particular, we study the effects of air drag force on the uniaxial elongation of the charged jet, right after ejection from the nozzle. Numerical simulations… |
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We provide a large deviation principle for the interference in a simple model of wireless communication |
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The need for more and more accurate gravitational-wave templates requires taking into account all possible contributions to the emission of gravitational radiation from a binary system. Therefore, working within a multipolar-post-Minkowskian framework to describe the gravitational-wave field in… |
