Dynamical features of reaction-diffusion fronts in fractals

The speed of front propagation in fractals is studied by using (i) the reduction of the reaction-transport equation into a Hamilton-Jacobi equation and (ii) the local-equilibrium approach. Different equations proposed for describing transport in fractal media, together with logistic reaction kinetics, are considered. Finally, we analyze the main features of wave fronts resulting from this dynamic process, i.e., why they are accelerated and what is the exact form of this acceleration

Effect of initial conditions on the speed of reaction-diffusion fronts

The effect of initial conditions on the speed of propagating fronts in reaction-diffusion equations is examined in the framework of the Hamilton-Jacobi theory. We study the transition between quenched and nonquenched fronts both analytically and numerically for parabolic and hyperbolic reaction diffusion. Nonhomogeneous media are also analyzed and the effect of algebraic initial conditions is also discussed

Speed of reaction-diffusion fronts in spatially heterogeneous media

The front speed problem for nonuniform reaction rate and diffusion coefficient is studied by using singular perturbation analysis, the geometric approach of Hamilton-Jacobi dynamics, and the local speed approach. Exact and perturbed expressions for the front speed are obtained in the limit of large times. For linear and fractal heterogeneities, the analytic results have been compared with numerical results exhibiting a good agreement. Finally we reach a general expression for the speed of the front in the case of smooth and weak heterogeneities

La teoría de Morales-Ramis y el algoritmo de Kovacic

La teor\'\ı a de Morales–Ramis es la teor\'\ı a de Galois en el contextode los sistemas din\'amicos y relaciona dos tipos diferentes de integrabilidad:integrabilidad en el sentido de Liouville de un sistema hamiltonianoe integrabilidad en el sentido de la teor\'\ı a de Galois diferencial deuna ecuaci\'on diferencial. En este art\'\i culo se presentan algunas aplicacionesde la teor\'\i a de Morales–Ramis en problemas de no integrabilidadde sistemas hamiltonianos cuya ecuaci\'on variacional normal a lo largode una curva integral particular es una ecuaci\'on diferencial lineal desegundo orden con coeficientes funciones racionales. La integrabilidadde la ecuaci\'on variacional normal es analizada mediante el algoritmode Kovacic.

Bands width, credibility and exchange risk: Lessons from the EMS experience

This paper presents an analysis of the credibility of the EMScurrencies that covers the period before and after the increase in thebands of fluctuation. Our credibility indicator is based on the inferredprobabilities derived from the estimation of a Markov-switching model(Hamilton (1989)) applied to the expected rate of depreciation. Theresults show that, for most of the currencies, credibility has improved,at least transitorily, after the increase in the bands. However, for allcurrencies, the credibility measured by the indicator proposed in thispaper has been eroded recently even with the widened bands.

Gender and family firms: an interdisciplinary approach

This study contributes to developing our understanding of gender and family business, a topic so crucial to recent policies about competitive growth. It does so by providing an interdisciplinary synthesis of some major theoretical debates. It also contributes to this understanding by illuminating the role of women and their participation in the practices of the family and the business. Finally, it explores gender relations and the notion that leadership in family business may take complex forms crafted within constantly changing relationships. Leadership is introduced as a concept that captures the reality of women and men in family firms in a better way than other concepts used by historians or economists like ownership and management.

Non-constant discounting in finite horizon: The free terminal time case

This paper derives the HJB (Hamilton-Jacobi-Bellman) equation for sophisticated agents in a finite horizon dynamic optimization problem with non-constant discounting in a continuous setting, by using a dynamic programming approach. A simple example is used in order to illustrate the applicability of this HJB equation, by suggesting a method for constructing the subgame perfect equilibrium solution to the problem.Conditions for the observational equivalence with an associated problem with constantdiscounting are analyzed. Special attention is paid to the case of free terminal time. Strotz¿s model (an eating cake problem of a nonrenewable resource with non-constant discounting) is revisited.

Classical predictive electrodynamics of two charges with radiation: Energy and 3. momentum balance and scattering crossections-II

We deal with a classical predictive mechanical system of two spinless charges where radiation is considered and there are no external fields. The terms (2,2)Paa of the expansion in the charges of the HamiltonJacobi momenta are calculated. Using these, together with known previous results, we can obtain the paa up to the fourth order. Then we have calculated the radiated energy and the 3-momentum in a scattering process as functions of the impact parameter and the incident energy for the former and 3-momentum for the latter. Scattering cross-sections are also calculated. Good agreement with well known results, including those of quantum electrodynamics, has been found.

Gender and family firms: an interdisciplinary approach

This study contributes to developing our understanding of gender and family business, a topic so crucial to recent policies about competitive growth. It does so by providing an interdisciplinary synthesis of some major theoretical debates. It also contributes to this understanding by illuminating the role of women and their participation in the practices of the family and the business. Finally, it explores gender relations and the notion that leadership in family business may take complex forms crafted within constantly changing relationships. Leadership is introduced as a concept that captures the reality of women and men in family firms in a better way than other concepts used by historians or economists like ownership and management.

Non-constant discounting in finite horizon: The free terminal time case

This paper derives the HJB (Hamilton-Jacobi-Bellman) equation for sophisticated agents in a finite horizon dynamic optimization problem with non-constant discounting in a continuous setting, by using a dynamic programming approach. A simple example is used in order to illustrate the applicability of this HJB equation, by suggesting a method for constructing the subgame perfect equilibrium solution to the problem.Conditions for the observational equivalence with an associated problem with constantdiscounting are analyzed. Special attention is paid to the case of free terminal time. Strotz¿s model (an eating cake problem of a nonrenewable resource with non-constant discounting) is revisited.

Kantisme i sentit comú en Francesc X. Llorens i Barba

L'objectiu de l'article és analitzar quin sentit té el kantisme a la filosofia de Llorens i Barba. S'ha afirmat sovint que potser Llorens es va distanciar de Kant al final de la seva vida. Aquesta qüestió ens pot ocultar quelcom més important: el veritable significat dels elements d'ètica kantiana dins de la filosofia de Llorens. Mostrarem que la influència de Kant és clara, però que cal tenir present que deriva igualment de la principal font de Llorens, el filòsof escocès William Hamilton. Per assolir aquesta conclusió analitzarem la presència de la noció de sentit comú en Kant i considerarem de quina manera l'ètica complementa la metafísica en Kant, Hamilton i Llorens.

Persistence of cognitive impairment and its negative impact on psychosocial functioning in lithium-treated, euthymic bipolar patients: a 6-year follow-up study.

BACKGROUND: Previous cross-sectional studies report that cognitive impairment is associated with poor psychosocial functioning in euthymic bipolar patients. There is a lack of long-term studies to determine the course of cognitive impairment and its impact on functional outcome. Method A total of 54 subjects were assessed at baseline and 6 years later; 28 had DSM-IV TR bipolar I or II disorder (recruited, at baseline, from a Lithium Clinic Program) and 26 were healthy matched controls. They were all assessed with a cognitive battery tapping into the main cognitive domains (executive function, attention, processing speed, verbal memory and visual memory) twice over a 6-year follow-up period. All patients were euthymic (Hamilton Rating Scale for Depression score lower than 8 and Young mania rating scale score lower than 6) for at least 3 months before both evaluations. At the end of follow-up, psychosocial functioning was also evaluated by means of the Functioning Assessment Short Test. RESULTS: Repeated-measures multivariate analysis of covariance showed that there were main effects of group in the executive domain, in the inhibition domain, in the processing speed domain, and in the verbal memory domain (p<0.04). Among the clinical factors, only longer illness duration was significantly related to slow processing (p=0.01), whereas strong relationships were observed between impoverished cognition along time and poorer psychosocial functioning (p<0.05). CONCLUSIONS: Executive functioning, inhibition, processing speed and verbal memory were impaired in euthymic bipolar out-patients. Although cognitive deficits remained stable on average throughout the follow-up, they had enduring negative effects on psychosocial adaptation of patients.

Disponibilitat per a les plantes de Mn, Cu, Zn i Cd en els sòls de diferents sistemes agrícoles a Catalunya

Es va avaluar el contingut del sòl en Mn, Cu, Zn, Ni i Cd fent una extracció amb DTPA, segons el mètode de Lindsay i Norvell (1969). Les mostres analitzades procedien de parcel·les agrícoles d'arreu de Catalunya, conservades al Banc de Mostres de Sòls del Mapa de Sòls de Catalunya del DARP. Els resultats es van agrupar per sistemes agrícoles en funció de l'origen de les mostres, ja que dins de cada un es pot assumir una reducció important en l'interval de variació de diferents factors. Es va realitzar una comparació estadística entre els valors mitjans dels diferents sistemes agrícoles, entre els valors mitjans de les dues profunditats de sòl considerades, i una interpretació agronòmica. Els resultats van indicar que els sòls procedents d'horticultura intensiva del Maresme són els que tenen continguts disponibles més elevats dels metalls considerats. D'altra banda, es fa palès que els valors estan condicionats tant pel material originari del sòl com per l'acció antròpica. Per al Cu i el Zn en les mostres de sòls del Maresme els continguts trobats estan molt per sobre dels mínims considerats com a agronòmicament satisfactoris.