Uniform-in-time error estimates for spectral Galerkin approximations of a mass diffusion model

The goal of this paper is to present uniform-in-time error estimates by considering spectral Galerkin approximations of the Kazhikhov-Smagulov model for strong solutions. To be more precise, we derive an optimal uniform-in-time error bound in the boldsymbol{H}^1\times H^2$ norm for the velocity and density approximations being stated in Theorem 6.Ministerio de Educación y Ciencia MTM2006-0793

Tasas locales por aprovechamiento especial del dominio público: nuevos tiempos, nuevas figuras

La obra examina cómo los cambios en movilidad y uso del espacio público han dado lugar a nuevas tasas locales por aprovechamiento especial del dominio público. La autora, Mories Jiménez, desarrolla una teoría general sobre estas tasas, destacando problemas persistentes como la determinación del hecho imponible y la inseguridad jurídica que genera su regulación a través de Ordenanzas Fiscales. Estas tasas buscan aportar recursos municipales, pero su implementación puede generar conflictos legales. La obra ofrece un análisis crítico que puede servir tanto a Ayuntamientos como a legisladores, sugiriendo mejoras para la regulación de la financiación local en el contexto actual de cambios sociales y económicos

Unconditional stability and convergence of fully discrete schemes for 2D viscous fluids models with mass diffusion

In this work we develop fully discrete (in time and space) numerical schemes for two-dimensional incompressible fluids with mass diffusion, also so-called Kazhikhov-Smagulov models. We propose at most H^1-conformed finite elements (only globally continuous functions) to approximate all unknowns (velocity, pressure and density), although the limit density (solution of continuous problem) will have H^2 regularity. A backward Euler in time scheme is considered decoupling the computation of the density from the velocity and pressure. Unconditional stability of the schemes and convergence towards the (unique) global in time weak solution of the models is proved. Since a discrete maximum principle cannot be ensured, we must use a different interpolation inequality to obtain the strong estimates for the discrete density, from the used one in the continuous case. This inequality is a discrete version of the Gagliardo-Nirenberg interpolation inequality in 2D domains. Moreover, the discrete density is truncated in some adequate terms of the velocity-pressure problem.Ministerio de Ciencia y Tecnología BFM2003–06446-C02-01Ministerio de Educación y Ciencia PHB2005-0042-P

Images of the Disappeared Puerta Real in Seville

During the sixteenth century, Seville experienced a great flourishing due to the monopoly of trade with the Americas. It was consequently decided to renew the architectural image of the gates of the walled city so that their appearance would be in keeping with the new era. Their design followed a report issued in 1560 by the prestigious architect Hernán Ruiz II, author of the fine Renaissance finial of the Giralda tower of the Cathedral. The Royal Gate-(Puerta Real, also named Puerta de Goles) located near the river port-was completely renovated between 1560 and 1566. It had been known as the Royal Gate since King Philip II entered Seville through it in 1570. The gate subsequently appeared in important urban images by Bambrilla (1585), Janssonius (1617), Olavide (1771), Ford (1830–1833), and in a valuable photograph by Masson (c. 1858). In 1864, the Royal Gate was demolished and just one side of the city wall hosting a commemorative stone is preserved nowadays. By collecting its historical portrayals and analysing its urban environment, this research provides a virtual reconstruction of this unique Renaissance work. To this end, the dimensions of the preserved archaeological remains had been obtained with Masson’s photograph, digitally processed, as foundation. Auxiliary geometric lines were used as references and both the Book of Architecture by Hernán Ruiz II and the treatise by Sebastiano Serlio as guidelines to define details. A photomontage of the gate in its current urban environment completes the reproduction, aiming to underline its great heritage importance

Digital Forensics and Criminal Process in Spain: evidence gathering in a changing context

La adquisición de pruebas de naturaleza digital en el ámbito del proceso penal se ha de enmarcar en un contexto de permanente cambio. El presente libro responde a un propósito de revisión de la cuestión, adaptándola a las continuas reformas legislativas, a las directrices europeas e internacionales en la materia y a las más modernas tendencias doctrinales y jurisprudenciales

The Mosque-Cathedral of Córdoba: Three Interior Perspectives by Laborde (1812)

Alexandre Laborde, at the beginning of the 19th century, after visiting the Mosque-Cathedral of Córdoba, published an important collection of views of this monument in the work entitled Voyage pittoresque et historique de l’Espagne (volume II, 1812). Three of its interior perspectives, drawn by Jean Lubin Vauzelle, have been selected in order to assess its documentary accuracy: a front view from the Mihrab, one from the forest of columns and another from the Royal Chapel. A digital geometric model from the area expanded by Al-Hakem II - where the three perspectives are located - has been generated from the point cloud obtained by means of a 3D laser scanner. Some formal and spatial aspects from the perceived architecture have been analysed, taking as a reference several images by 19th century draftsmen. After identifying each viewpoint and its horizon line, the digital model has been superimposed on the views by Laborde after identifying each viewpoint and its horizon line. The agreement between the views and the current reality has been verified considering that a camera obscura could have been used, and also taking into account the different architectural transformations undergone by this monument part of the Unesco World Heritage list

El derecho real de habitación a favor de la persona con discapacidad

¿Saben los familiares de las personas con discapacidad que pueden establecer a favor de estas, mediante donación o legado testamentario, un derecho de habitación vitalicio sobre la vivienda en la que convivan, sin que dicho derecho compute en la legítima del habitacionista? ¿Conocen las personas con discapacidad el derecho de habitación que tienen por ley sobre la vivienda en la que convivían con su legitimario cuando este fallezca, siempre y cuando se cumplan unos requisitos? Si la Ley 5/2019, de regulación de contratos de créditos inmobiliarios, impone al notario con carácter previo a la firma de la escritura de préstamo hipotecario la obligación de asesorar e informar claramente al consumidor respecto al alcance de lo que va a firmar, debiendo incluso elaborarse un acta notarial que así lo refleje, ¿por qué no exigir igualmente que, con carácter previo a la firma de la aceptación de una herencia en la que el causante conviviese con un legitimario con discapacidad, el notario tenga que informar a dicho legitimario del derecho de habitación vitalicio que puede corresponderle por ley en caso de necesitarlo, y sin que se compute en su legítima

Dataset of Psycho-emotional intervention with parents of very preterm babies during the first year: A single-arm pilot study

Data collection for this dataset began in Abril 2014, when the first contact was made with families who had a child born prematurely. Contact was initiated with families who were being cared for in the neonatal unit of a tertiary hospital in the city of Seville. Studies of intervention programs that aim to improve the emotional state of parents of children admitted to the neonatal intensive care units (NICU) are scarce in Spain. The aims of this single-arm pilot study are to get to know the emotional profile of parents of high-risk preterm newborns, and to explore parents’ patterns of emotional well-being before and after a psychological program called the Parental Empowerment Program, to increase parental readiness levels. The sample was made up of 100 parents (50 couples) who participated in the program. Measurements were taken of post-traumatic stress, depression and resilience one month and at 12 months. Repeated measurements and dyadic data analyses were performed. One month after the birth of the baby and prior to the start of the program, mothers show more symptoms of stress and depression than fathers. Depending on the kind of variable to relate, t-test, ANOVA and Pearson correlation were applied when the normality assumption (Kolmogorov-Smirnov Z) was met. Wilcoxon, McNemar, Spearman and Kruskal Wallis tests were used when the normal distribution was not accepted. In all cases, Bonferroni correction was applied. Dyadic analysis was carried out for the total scores when the assumption of dependence across couples’ scores was met and an actor–partner interdependence model (APIM). The estimation procedure used was Restricted Maximum Likelihood (REML). We studied the relationship between babies’ clinical variables and parents’ emotional profile in pre-test. Pearson or Spearman correlation were calculated. We contrasted measurements pre and post intervention to check if there was a change in the emotional profile, using paired t-test or Wilcoxon signed ranks test. To study whether the level of prematurity of children influenced parents’ emotional profile, we conducted mixed ANOVA or Kruskal Wallis-tests. Finally, dyadic analysis was carried out to study couples as units. After the intervention, both parents experienced improvements in their mood levels The evidence obtained seems to show that high resilience levels and low post-traumatic stress symptoms are associated with reduced depression levels after implementing the program. However, the heterogeneity of the responses obtained, the observed associations between stress, resilience and maternal depression, along with the reciprocal influence between maternal and paternal depression one year after the intervention, highlight the need for a more in-depth exploration of the interplay between risk and protective factors in this population. Despite the identified potential threats to validity, further work in this direction is recommended, including the implementation of clinical trials to demonstrate intervention efficacy. The adaptation of the parents' mutual emotional adjustment at each stage would allow them to participate more actively in the baby's care.v.