Expanding the asymptotic explosive boundary behavior of large solutions to a semilinear elliptic equation

The main goal of this paper is to study the asymptotic expansion near the boundary of the large solutions of the equation -Delta u + lambda u(m) = f in Omega, where lambda > 0, m > 1, f is an element of c(Omega), f >= 0, and Omega is an open bounded set of R-N, N > 1, with boundary smooth enough. Roughly speaking, we show that the number of explosive terms in the asymptotic boundary expansion of the solution is finite, but it goes to infinity as in goes to 1. We prove that the expansion consists in two eventual geometrical and non-geometrical parts separated by a term independent on the geometry of partial derivative Omega, but dependent on the diffusion. For low explosive sources the non-geometrical part does not exist; all coefficients depend on the diffusion and the geometry of the domain by means of well-known properties of the distance function dist(x, partial derivative Omega). For high explosive sources the preliminary coefficients, relative to the non-geometrical part, are independent on Omega and the diffusion. Finally, the geometrical part does not exist for very high explosive sources consists in two eventual geometrical and non-geometrical parts, separated by a term independent on the geometry of $\partial\Omega$∂Ω, but dependent on the diffusion. For low explosive sources the non-geometrical part does not exist; all coefficients depend on the diffusion and the geometry of the domain by means of well-known properties of the distance function ${\rm dist}(x,\partial\Omega)$dist(x,∂Ω). For high explosive sources the preliminary coefficients, relative to the non-geometrical part, are independent on $\Omega$Ω and the diffusion. Finally, the geometrical part does not exist for very high explosive sources

Modelling and simulation of heat and mass transfer for liquid type foods under high pressure processes

High Pressure (HP) Processing has turned out to be very effective in order to prolong the shelf life of some foods. This paper deals with the modelling and simulation of the effect of the combination of high pressure with thermal treatments on food. The behaviour and stability of this model are checked by various numerical examples. Furthermore, a simplified version of the model is presented and compared with the full model in terms of accuracy and computational time. The models developed provide a useful tool to design suitable industrial equipments and optimize the processes

Identificación de la conductividad de un material cuando depende de la presión a la que está sometido

Depto. de Análisis Matemático y Matemática AplicadaInstituto de Matemática Interdisciplinar (IMI)Fac. de Ciencias MatemáticasTRUEpu

Modelling and simulation of high pressure processes in food engineering

Depto. de Análisis Matemático y Matemática AplicadaInstituto de Matemática Interdisciplinar (IMI)Fac. de Ciencias MatemáticasTRUEpu

Inverse problems in high pressure processes and food engineering

Depto. de Análisis Matemático y Matemática AplicadaInstituto de Matemática Interdisciplinar (IMI)Fac. de Ciencias MatemáticasTRUEpu

Mathematical modelling in food engineering

Depto. de Análisis Matemático y Matemática AplicadaInstituto de Matemática Interdisciplinar (IMI)Fac. de Ciencias MatemáticasTRUEpu

Adquisición de competencias profesionales en los estudiantes del Grado de Trabajo Social. La argumentación y elaboración en el diagnóstico social a través de diferentes instrumentos

Se presentan los resultados obtenidos en el Proyecto Nº 21 Adquisición de competencias profesionales en los estudiantes del Grado de Trabajo Social. La argumentación y elaboración en el diagnóstico social a través de diferentes instrumentos, acerca de reforzar la argumentación en el alumnado del Grado de Trabajo Social a través de instrumentos, que refuercen su aprendizaje en la elaboración del diagnóstico social, donde se visualiza la calidad y eficacia de la intervención profesional

CARB-ES-19 Multicenter Study of Carbapenemase-Producing Klebsiella pneumoniae and Escherichia coli From All Spanish Provinces Reveals Interregional Spread of High-Risk Clones Such as ST307/OXA-48 and ST512/KPC-3

ObjectivesCARB-ES-19 is a comprehensive, multicenter, nationwide study integrating whole-genome sequencing (WGS) in the surveillance of carbapenemase-producing K. pneumoniae (CP-Kpn) and E. coli (CP-Eco) to determine their incidence, geographical distribution, phylogeny, and resistance mechanisms in Spain.MethodsIn total, 71 hospitals, representing all 50 Spanish provinces, collected the first 10 isolates per hospital (February to May 2019); CPE isolates were first identified according to EUCAST (meropenem MIC > 0.12 mg/L with immunochromatography, colorimetric tests, carbapenem inactivation, or carbapenem hydrolysis with MALDI-TOF). Prevalence and incidence were calculated according to population denominators. Antibiotic susceptibility testing was performed using the microdilution method (EUCAST). All 403 isolates collected were sequenced for high-resolution single-nucleotide polymorphism (SNP) typing, core genome multilocus sequence typing (cgMLST), and resistome analysis.ResultsIn total, 377 (93.5%) CP-Kpn and 26 (6.5%) CP-Eco isolates were collected from 62 (87.3%) hospitals in 46 (92%) provinces. CP-Kpn was more prevalent in the blood (5.8%, 50/853) than in the urine (1.4%, 201/14,464). The cumulative incidence for both CP-Kpn and CP-Eco was 0.05 per 100 admitted patients. The main carbapenemase genes identified in CP-Kpn were blaOXA–48 (263/377), blaKPC–3 (62/377), blaVIM–1 (28/377), and blaNDM–1 (12/377). All isolates were susceptible to at least two antibiotics. Interregional dissemination of eight high-risk CP-Kpn clones was detected, mainly ST307/OXA-48 (16.4%), ST11/OXA-48 (16.4%), and ST512-ST258/KPC (13.8%). ST512/KPC and ST15/OXA-48 were the most frequent bacteremia-causative clones. The average number of acquired resistance genes was higher in CP-Kpn (7.9) than in CP-Eco (5.5).ConclusionThis study serves as a first step toward WGS integration in the surveillance of carbapenemase-producing Enterobacterales in Spain. We detected important epidemiological changes, including increased CP-Kpn and CP-Eco prevalence and incidence compared to previous studies, wide interregional dissemination, and increased dissemination of high-risk clones, such as ST307/OXA-48 and ST512/KPC-3

Inverse problems in heat exchange processes

This paper deals with an inverse problem concerning the identification of the heat exchange coefficient H (assumed depending on the temperature) between a certain material with the external environment (see, e.g., [2], [4] for real applications modelled with equations involving this coefficient). Only experimental measurements of the temperature are supposed to be known. The goal is to identify H in order to get a solution for the corresponding model, approximating same given temperature measurements. We begin by setting several scenarios for the inverse problem. For each scenario, we know the initial and ambient temperatures, identify function H through different methods and obtain error bounds in adequate norms (uniform and square integrable). Finally, we study the inverse problem in the framework of the classical theory for Hilbert spaces. Several methods are used (Tikhonov, Morozov, Landweber,...) and the approximations obtained, as well as the one provided by the previous algorithm, are shown

Enzymatic inactivation under high pressure processes: models, simulation and mathematical analysis

Depto. de Análisis Matemático y Matemática AplicadaFac. de Ciencias MatemáticasFALSEsubmitte