Group Analysis of Variable Coefficient Diffusion-Convection Equations. I. Enhanced Group Classification

We discuss the classical statement of group classification problem and some its extensions in the general case. After that, we carry out the complete extended group classification for a class of (1+1)-dimensional nonlinear diffusion--convection equations with coefficients depending on the space variable. At first, we construct the usual equivalence group and the extended one including transformations which are nonlocal with respect to arbitrary elements. The extended equivalence group has interesting structure since it contains a non-trivial subgroup of non-local gauge equivalence transformations. The complete group classification of the class under consideration is carried out with respect to the extended equivalence group and with respect to the set of all point transformations. Usage of extended equivalence and correct choice of gauges of arbitrary elements play the major role for simple and clear formulation of the final results. The set of admissible transformations of this class is preliminary investigated.Comment: 25 page

Inhibitory Processes Training for School-age Children: Transfer Effects

Inhibition refers to a basic executive component that can be conceptualized as consisted of different inhibitory processes (i.e., perceptual, cognitive and response inhibition). These processes emerge during the first years of life, and since then are involved in different relevant every day activities. Different individual and contextual factors can modulate their developmental trajectories. The possibility of train in separate ways each inhibitory process is a subject of analysis. In such a context, the aims of this work were: (a) to design, implement and evaluate training of perceptual, cognitive and response inhibition processes, in a sample of school-aged children (6 to 8 years old); and (b) to analyze near, far, short- and long-transfer effects. An experimental design with three training groups (one for each inhibitory process) and an active control group was implemented. Near transfer effects were not observed. We found effects on a visuospatial working memory task in the short term, after the training in the response and cognitive inhibition, and effects on a fluid intelligence task in both the short and long term after the training in cognitive inhibition. The results contribute to a conceptualization of multidimensional inhibitory processes and the plausibility of training them during childhood.Fil: Aydmune, Yésica. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Psicología Básica, Aplicada y Tecnología. Universidad Nacional de Mar del Plata. Facultad de Psicología. Instituto de Psicología Básica, Aplicada y Tecnología; ArgentinaFil: Introzzi, Isabel Maria. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Psicología Básica, Aplicada y Tecnología. Universidad Nacional de Mar del Plata. Facultad de Psicología. Instituto de Psicología Básica, Aplicada y Tecnología; ArgentinaFil: Lipina, Sebastián Javier. Centro de Educación Médica e Investigaciones Clínicas "Norberto Quirno"; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin