20 research outputs found

    On a parabolic strongly nonlinear problem on manifolds

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    In this work we will prove the existence uniqueness and asymptotic behavior of weak solutions for the system (*) involving the pseudo Laplacian operator and the condition ut+i=1nuxip2uxiνi+uρu=f\displaystyle\frac{\partial u}{\partial t} + \sum_{i=1}^n \big|\frac{\partial u}{\partial x_i}\big|^{p-2}\frac{\partial u}{\partial x_i}\nu_i + |u|^{\rho}u=f on Σ1\Sigma_1, where Σ1\Sigma_1 is part of the lateral boundary of the cylinder Q=Ω×(0,T)Q=\Omega \times (0,T) and ff is a given function defined on Σ1\Sigma_1

    An Ontological Approach to Inform HMI Designs for Minimizing Driver Distractions with ADAS

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    ADAS (Advanced Driver Assistance Systems) are in-vehicle systems designed to enhance driving safety and efficiency as well as comfort for drivers in the driving process. Recent studies have noticed that when Human Machine Interface (HMI) is not designed properly, an ADAS can cause distraction which would affect its usage and even lead to safety issues. Current understanding of these issues is limited to the context-dependent nature of such systems. This paper reports the development of a holistic conceptualisation of how drivers interact with ADAS and how such interaction could lead to potential distraction. This is done taking an ontological approach to contextualise the potential distraction, driving tasks and user interactions centred on the use of ADAS. Example scenarios are also given to demonstrate how the developed ontology can be used to deduce rules for identifying distraction from ADAS and informing future designs

    On a parabolic strongly nonlinear problem on manifolds

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    El libro de María Valero se propone realizar una aproximación crítica a la presencia de unidades fraseológicas en la gramática y en la lexicografía, tarea ardua y compleja que la autora lleva a cabo con sumo cuidado y competencia metodológica

    Weak solutions for a strongly-coupled nonlinear system

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    In this paper the authors study the existence of local weak solutions of the strongly nonlinear system displaylinesu+mathcalAu+f(u,v)u=h1crv+mathcalAv+g(u,v)v=h2displaylines{ u''+mathcal{A}u +f(u,v)u = h_1 cr v''+mathcal{A}v +g(u,v)v = h_2 } where mathcalAmathcal{A} is the pseudo-Laplacian operator and ff, gg, h1h_1 and h2h_2 are given functions

    Nonlinear perturbations of the Kirchhoff equation

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    In this article we study the existence and uniqueness of local solutions for the initial-boundary value problem for the Kirchhoff equation \displaylines{ u'' - M(t,\|u(t)\|^{2})\Delta u + |u|^{\rho} =f \quad\text{in } \Omega \times (0, T_0), \cr u=0\quad\text{on }\Gamma_0 \times ]0, T_0[, \cr \frac{\partial u}{\partial \nu} + \delta h(u')=0 \quad\text{on } \Gamma_1 \times ]0, T_0[, } where Ω\Omega is a bounded domain of Rn\mathbb{R}^n with its boundary constiting of two disjoint parts Γ0\Gamma_0 and Γ1\Gamma_1; ρ>1\rho >1 is a real number; ν(x)\nu(x) is the exterior unit normal vector at xΓ1x \in \Gamma_1 and δ(x),h(s)\delta(x), h(s) are real functions defined in Γ1\Gamma_1 and R\mathbb{R}, respectively. Our result is obtained using the Galerkin method with a special basis, the Tartar argument, the compactness approach, and a Fixed-Point method

    Genomic analyses reveal two distinct lineages of Corynebacterium ulcerans strains

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    Corynebacterium ulcerans is an important zoonotic pathogen which is causing diphtheria-like disease in humans globally. In this study, the genomes of three recently isolated C. ulcerans strains, 4940, 2590 and BR-AD 2649, respectively from an asymptomatic carrier, a patient with pharyngitis and a canine host, were sequenced to investigate their virulence potential. A comparative analysis was performed including the published genome sequences of 16 other C. ulcerans isolates. C. ulcerans strains belong to two lineages; 13 strains are grouped together in lineage 1, and six strains comprise lineage 2. Consistent with the zoonotic nature of C. ulcerans infections, isolates from both the human and canine hosts clustered in both the lineages. Most of the strains possessed spaDEF and spaBC gene clusters along with the virulence genes cpp, pld, cwlH, nanH, rpfI, tspA and vsp1. The gene encoding Shiga-like toxin was only present in one strain, and 11 strains carried the tox gene encoding the diphtheria-like toxin. However, none of strains 4940, 2590 and BR-AD 2649 carried any toxin genes. These strains varied in the number of prophages in their genomes, which suggests that they play an important role in introducing diversity in C. ulcerans. The pan-genomic analyses revealed a variation in the number of membrane-associated and secreted proteins that may contribute to the variation in pathogenicity among different strains. Keywords: Corynebacterium ulcerans, diphtheria, nontoxigenic, sore throat, toxigenic, vaccine, virulence, zoonoti
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