Existence and uniqueness of viscosity solution for Hamilton-Jacobi equation with discontinuous coefficients dependent on time

The main result is a proof of the existence of a unique viscosity solution for Hamilton-Jacobi equation, where the hamiltonian is discontinuous with respect to variable, usually interpreted as the spatial one. Obtained generalized solution is continuous, but not necessarily differentiable.

Anàlisi del riu Llobregat com a via de transport del Baix Llobregat a l'època romana, amb eines SIG

Desenvolupament d'un Sistema d'Informació Geogràfica (SIG), que permeti analitzar les funcions dels jaciments romans de la zona del riu Llobregat i consultar els jaciments, emmagatzemats en una base de dades de forma espacial.

An improved method for discovering link criticality in transport networks

Quantitatively assessing the importance or criticality of each link in a network is of practical value to operators, as that can help them to increase the network's resilience, provide more efficient services, or improve some other aspect of the service. Betweenness is a graph-theoretical measure of centrality that can be applied to communication networks to evaluate link importance. However, as we illustrate in this paper, the basic definition of betweenness centrality produces inaccurate estimations as it does not take into account some aspects relevant to networking, such as the heterogeneity in link capacity or the difference between node-pairs in their contribution to the total traffic. A new algorithm for discovering link centrality in transport networks is proposed in this paper. It requires only static or semi-static network and topology attributes, and yet produces estimations of good accuracy, as verified through extensive simulations. Its potential value is demonstrated by an example application. In the example, the simple shortest-path routing algorithm is improved in such a way that it outperforms other more advanced algorithms in terms of blocking ratio

Estudi de la mobilitat en diferents xarxes de transport públic

Aquest projecte es centra en la realització d’un estudi de la mobilitat en diferents xarxes de transport públic. En particular, aquest estudi pretén ser una anàlisi comparativa de conceptes relacionats amb la topologia i navegabilitat de xarxes de metro de diferents països des d’un punt de vista innovador, tot realitzant una aproximació interdisciplinària a l’anàlisi de les xarxes.Es tracta d’un estudi centrat sobretot en conceptes i mètodes desenvolupats últimament en el camps de les Xarxes Complexes i de la Teoria de la Informació. Això ens ha permès focalitzar les nostres conclusions en les mesures de navegabilitat de les diferents xarxes així com en els paràmetres topològics que ens les defineixen, sense basar-nos en dades geogràfiques ni operatives. Els sistemes de metro estudiats en el present treball són els de Barcelona, Moscou, París i Nova York. Són sistemes que s’han desenvolupat en ambients històrics i culturals molt diversos fet que pot donar lloc a veure si aquesta circumstància és causant de diferències estructurals i de funcionament entre ells o bési pel contrari segueixen uns patrons de comportament semblants

Entorn de simulació per a xarxes òptiques de transport

Aquest projecte final de carrera pretén investigar i experimentar una nova línia de desenvolupament d’algorismes dinàmics. A partir de l’algorisme AntNet-QoS [2] s’ incorporen noves mesures a l’algorisme (mesura de l’amplada de banda disponible i jitter), les quals combinant amb la mesura de retard ja feta servir, permet adaptar-se millor a les condicions actuals del trànsit en la xarxa i als requeriments específics de qualitat (QoS) per part del trànsit

Estudi de l’eficiència aerodinàmica de vehicles pesants de transport de passatgers

Estudi de l’eficiència aerodinàmica de les carrosseries de vehicles pesants de cara a reduir el consum de combustible en autocars de llarg trajecte. L’estudi es basa en tres aspectes: validació del programa de simulació, estudi aerodinàmic de diferents carrosseries d’autocar de mercat i estudi aerodinàmic de diferents complements

Mutigrid preconditioner for nonconforming discretization of elliptic problems with jump coefficients

In this paper, we present a multigrid preconditioner for solving the linear system arising from the piecewise linear nonconforming Crouzeix-Raviart discretization of second order elliptic problems with jump coe fficients. The preconditioner uses the standard conforming subspaces as coarse spaces. Numerical tests show both robustness with respect to the jump in the coe fficient and near-optimality with respect to the number of degrees of freedom.

Shocking policy coefficients

This paper proposes an empirical framework to study the effects of a policy regime change defined as an unpredictable and permanent change in the policy parameters. In particular I show how to make conditional forecast and perform impulse response functions and counterfactual analysis. As an application, the effects of changes in fiscal policy rules in the US are investigated. I find that discretionary fiscal policy has become more countercyclical over the last decades. In absence of such a change, surplus would have been higher, debt lower and output gap more volatile but only until mid 80s. An increase in the degree of counter-cyclicality of fiscal policy has a positive effect on output gap in periods where the level of debt-to-GDP ratio is low and a zero or negative effect when the ratio is high. This explains why a more countercylical stance of the systematic fiscal policy taking place in 2008:II is predicted to be rather ineffective for recovering from the crisis.

Integració d’un sistema de visió per computador a una cèl·lula flexible de transport

L’objectiu d’aquest projecte final de carrera és millorar les prestacions de la cel·la de fabricació actual duent a terme les següents fites: integració d’un sistema de visió artificial a la plataforma. Aquest sistema hade permetre la detecció i anàlisi dels objectes transportats, augmentant les seves possibilitats de manipulació i classificació. Es pretén eliminar la restricció actual que obliga a col•locar les peces en una posició fixa de la safata de transport; control centralitzat del procés a través d’un ordinador. El procés serà operat a través d’un computador industrial, el qual controlarà els diferents sistemes quecomponen la cel·la per tal que duguin a terme les seves funcions de forma coordinada; disseny i implementació d’una API del sistema. Es desenvoluparà la llibreria de control del sistema per tal de facilitar la programació del procés

Speed of reaction-transport processes

We present an approach to determining the speed of wave-front solutions to reaction-transport processes. This method is more accurate than previous ones. This is explicitly shown for several cases of practical interest: (i) the anomalous diffusion reaction, (ii) reaction diffusion in an advective field, and (iii) time-delayed reaction diffusion. There is good agreement with the results of numerical simulations

Acoustic transport of charge and spins in GaAs-based heterostructures

Report for the scientific sojourn carried out at the Paul Drude Institut für Festkörperelektronik of the Stanford University, USA, from 2010 to 2012. The objective of this project is the transport and control of electronic charge and spin along GaAs-based semiconductor heterostructures. The electronic transport has been achieved by taking advantage of the piezolectric field induced by surface acoustic waves in non-centrosymmetric materials like GaAs. This piezolectric field separates photogenerated electrons and holes at different positions along the acoustic wave, where they acummulate and are transported at the same velocity as the wave. Two different kinds of structures have been studied: quantum wells grown along the (110) direction, both intrinsic and n-doped, as well as GaAs nanowires. The analysis of the charge acoustic transport was performed by micro-photoluminescence, whereas the detection of the spin transport was done either by analyzing the polarization state of the emitted photoluminescence or by Kerr reflectometry. Our results in GaAs quantum wells show that charge and spin transport is clearly observed at the non-doped structures,obtaining spin lifetimes of the order of several nanoseconds, whereas no acoutically induced spin transport was detected for the n-doped quantum wells. In the GaAs nanowires, we were able of transporting successfully both electrons and holes along the nanowire axis, but no conservation of the spin polarization has been observed until now. The photoluminescence emitted by these structures after acoustic transport, however, shows anti-bunching characteristics, making this system a very good candidate for its use as single photon emitters.

Estimating overidentified, nonrecursive, time-varying coefficients structural VARs

This paper provides a method to estimate time varying coefficients structuralVARs which are non-recursive and potentially overidentified. The procedureallows for linear and non-linear restrictions on the parameters, maintainsthe multi-move structure of standard algorithms and can be used toestimate structural models with different identification restrictions. We studythe transmission of monetary policy shocks and compare the results with thoseobtained with traditional methods.

Relative price riddles in international business cycle theory: Are transport costs the explanation?

We study relative price behavior in an international business cyclemodel with specialization in production, in which a goods marketfriction is introduced through transport costs. The transporttechnology allows for flexible transport costs. We analyze whetherthis extension can account for the striking differences betweentheory and data as far as the moments of terms of trade and realexchange rates are concerned. We find that transport costs increaseboth the volatility of the terms of trade and the volatility of thereal exchange rate. However, unless the transport technology isspecified by a Leontief technology, transport costs do not resolvethe quantitative discrepancies between theory and data. Asurprising result is that transport costs may actually lower thepersistence of the real exchange rate, a finding that is in contrastto much of the emphasis of the empirical literature.