1,720,985 research outputs found

    An anomalous feature in a semi-inverse solution of a simple model of non-Newtonian fluid mechanics

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    Using a simple exact solution we point out an anomalous feature associated with the use of the semi-inverse method in a class of shear dependent viscosity non-Newtonian fluids

    Parametric Resonance in a Mesoscopic Discrete DNA Model

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    In this paper we investigate from the numerical point of view the discrete DNA model proposed in Lacitignola and Saccomandi (Bull. Math. Biol., 2014) in order to test the robustness of the parametric resonance condition found in the limit of the continuum approximation. To describe more realistically the binding of RNA polymerase to the DNA macromolecule during the first stage of the transcription process, we here consider a localized DNA-RNA polymerase interaction and a relatively high number of base-pairs. Even with these more realistic assumptions, our findings confirm the ones found in the continuum limit and indicate that the parametric resonance phenomenon can be an intrinsic property of the discrete DNA model

    Ripple Effect: Researchers say leveling of electrodeposits can be achieved by applying a small forcing voltage

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    Seeking smoother plating deposits? It may be all in the waves. This story looks at studies that have shown that superimposition of a small sinusoidal potential wave (smooth, repetitive oscillation) onto a potentiostatic bias can lead to more level electrodeposits in finishing

    A Reaction-diffusion model of spatial pattern formation in electrodeposition

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    In this paper we deal with a reaction-diffusion system to model the coupling between surface morphology and surface composition, as a means of understanding the formation of morphological patterns found in electrodeposition (ECD). The discussion is restricted to the case of one chemical species adsorbed at the surface of the growing cathode and source terms for both the chemical and the morphological equations of a simple form. We investigate the nonlinear dynamics of the system from the analytical and numerical points of view. The stability analysis shows the initiation of spatial patterns induced by diffusion, i.e. the diffusion-driven or Turing instability phenomenon. The obtained simulations are in good agreement with experiments for the electrodeposition of Au-Cu alloys

    Global stability of an SIR epidemic model with information dependent vaccination

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    We study the global behavior of a non-linear susceptible-infectious-removed (SIR)-like epidemic model with a non-bilinear feedback mechanism, which describes the influence of information, and of information-related delays, on a vaccination campaign. We upgrade the stability analysis performed in d’Onofrio et al. (Theor. Popul. Biol., 71, 2007) and, at same time, give a special example of application of the geometric method for global stability, due to Li and Muldowney. Numerical investigations are provided to show how the stability properties depend on the interplay between some relevant parameters of the model
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