Detection of a Moving Rigid Solid in a Perfect Fluid

In this paper, we consider a moving rigid solid immersed in a potential fluid. The fluid-solid system fills the whole two dimensional space and the fluid is assumed to be at rest at infinity. Our aim is to study the inverse problem, initially introduced in [3], that consists in recovering the position and the velocity of the solid assuming that the potential function is known at a given time. We show that this problem is in general ill-posed by providing counterexamples for which the same potential corresponds to different positions and velocities of a same solid. However, it is also possible to find solids having a specific shape, like ellipses for instance, for which the problem of detection admits a unique solution. Using complex analysis, we prove that the well-posedness of the inverse problem is equivalent to the solvability of an infinite set of nonlinear equations. This result allows us to show that when the solid enjoys some symmetry properties, it can be partially detected. Besides, for any solid, the velocity can always be recovered when both the potential function and the position are supposed to be known. Finally, we prove that by performing continuous measurements of the fluid potential over a time interval, we can always track the position of the solid.Comment: 19 pages, 14 figure

Epitaxial Co2Cr0.6Fe0.4Al thin films and magnetic tunneling junctions

Epitaxial thin films of the theoretically predicted half metal Co2Cr0.6Fe0.4Al were deposited by dc magnetron sputtering on different substrates and buffer layers. The samples were characterized by x-ray and electron beam diffraction (RHEED) demonstrating the B2 order of the Heusler compound with only a small partition of disorder on the Co sites. Magnetic tunneling junctions with Co2Cr0.6Fe0.4Al electrode, AlOx barrier and Co counter electrode were prepared. From the Julliere model a spin polarisation of Co2Cr0.6Fe0.4Al of 54% at T=4K is deduced. The relation between the annealing temperature of the Heusler electrodes and the magnitude of the tunneling magnetoresistance effect was investigated and the results are discussed in the framework of morphology and surface order based of in situ STM and RHEED investigations.Comment: accepted by J. Phys. D: Appl. Phy

Linear resolutions of powers and products

The goal of this paper is to present examples of families of homogeneous ideals in the polynomial ring over a field that satisfy the following condition: every product of ideals of the family has a linear free resolution. As we will see, this condition is strongly correlated to good primary decompositions of the products and good homological and arithmetical properties of the associated multi-Rees algebras. The following families will be discussed in detail: polymatroidal ideals, ideals generated by linear forms and Borel fixed ideals of maximal minors. The main tools are Gr\"obner bases and Sagbi deformation

Resultados numéricos en un modelo de lavado de una resina macroporosa

En este artículo se proponen dos métodos numéricos para resolver un sistema de ecuaciones en derivadas parciales formado por una ecuación del tipo parabólica, y otra hiperbólica. Estos métodos están basados en dos aproximaciones teóricas de la solución de la ecuación parabólica del sistema, y en un uso adecuado de un esquema de diferencias finitas para aproximar la solución de la ecuación hiperbólica. El sistema de ecuaciones en estudio tiene su origen en un problema real proveniente de la físico-química, que se explica en detalle en el artículo. En este problema concreto, ambos métodos fueron implementados computacionalmente, presentándose aquí los resultados numéricos obtenidos.Peer Reviewe

Koszul binomial edge ideals

It is shown that if the binomial edge ideal of a graph $G$ defines a Koszul algebra, then $G$ must be chordal and claw free. A converse of this statement is proved for a class of chordal and claw free graphs

Integrating cross-border acquisitions: a process-oriented approach

Acquisizioni o fusioni spesso falliscono nel creare valore per gli azionisti poiché, nella maggior parte dei casi, le modalità di integrazione impediscono di sviluppare le opportune sinergie. Questo argomento è stato affrontato da molti studi secondo due differenti filoni di pensiero: il primo guarda alla combinazione di risorse a disposizione dopo l’acquisizione e il secondo si focalizza sul fattore umano. Lo studio propone un modello integrato, dove gli effetti di questi aspetti sono testati simultaneamente e considera tre variabili indipendenti: l’importanza della pianificazione del processo, la conoscenza derivante da acquisizioni precedenti e la conoscenza derivante da relazioni precedenti. Crediamo che attraverso questo modello i manager possano prioritizzare le loro azioni e selezionare un orizzonte temporale appropriato per l’integrazione.Acquisitions and mergers of equals often fail to deliver shareholder value, largely because poor integration practices do not allow synergies to be created. The issue has been addressed by several studies from two different research streams: the first looks at the combination of resources after the acquisitions and the second focuses on the human factor. We propose an integrated model where the effects of these key aspects are tested simultaneously and where three independent variables are included: the extent of planning and knowledge from previous acquisitions and knowledge from previous relationships. We believe that through the model managers can prioritise their actions and select an appropriate time horizon for the integratio

Brillouin light scattering study of Co2_{2}Cr0.6_{0.6}Fe0.4_{0.4}Al and Co2_{2}FeAl Heusler compounds

The thermal magnonic spectra of Co$_{2}$Cr$_{0.6}$Fe$_{0.4}$Al (CCFA) and Co$_2$FeAl were investigated using Brillouin light scattering spectroscopy (BLS). For CCFA, the exchange constant A (exchange stiffness D) is found to be 0.48 $\mu$erg/cm (203 meV A$^2$), while for Co$_2$FeAl the corresponding values of 1.55 $\mu$erg/cm (370 meV A$^2$) were found. The observed asymmetry in the BLS spectra between the Stokes and anti-Stokes frequencies was assigned to an interplay between the asymmetrical profiles of hybridized Damon-Esbach and perpendicular standing spin-wave modes, combined with the optical sensitivity of the BLS signal to the upper side of the CCFA or Co$_2$FeAl film

Magnetic tunneling junctions with the Heusler compound Co_2Cr_{0.6}Fe_{0.4}Al

The Heusler alloy is used as an electrode of magnetic tunneling junctions. The junctions are deposited by magnetron dc sputtering using shadow mask techniques with AlO_{x} as a barrier and cobalt as counter electrode. Measurements of the magnetoresistive differential conductivity in a temperature range between 4K and 300K are shown. An analysis of the barrier properties applying the Simmons model to the bias dependent junction conductivity is performed. VSM measurements were carried out to examine the magnetic properties of the samples.Comment: 3 pages, 3 figures submitted to JMMM (proceedings of JEMS04