70 resultados para Stochastic partial di erential equations
Resumo:
Heat treatment of steels is a process of fundamental importance in tailoring the properties of a material to the desired application; developing a model able to describe such process would allow to predict the microstructure obtained from the treatment and the consequent mechanical properties of the material. A steel, during a heat treatment, can undergo two different kinds of phase transitions [p.t.]: diffusive (second order p.t.) and displacive (first order p.t.); in this thesis, an attempt to describe both in a thermodynamically consistent framework is made; a phase field, diffuse interface model accounting for the coupling between thermal, chemical and mechanical effects is developed, and a way to overcome the difficulties arising from the treatment of the non-local effects (gradient terms) is proposed. The governing equations are the balance of linear momentum equation, the Cahn-Hilliard equation and the balance of internal energy equation. The model is completed with a suitable description of the free energy, from which constitutive relations are drawn. The equations are then cast in a variational form and different numerical techniques are used to deal with the principal features of the model: time-dependency, non-linearity and presence of high order spatial derivatives. Simulations are performed using DOLFIN, a C++ library for the automated solution of partial differential equations by means of the finite element method; results are shown for different test-cases. The analysis is reduced to a two dimensional setting, which is simpler than a three dimensional one, but still meaningful.
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This work presents exact, hybrid algorithms for mixed resource Allocation and Scheduling problems; in general terms, those consist into assigning over time finite capacity resources to a set of precedence connected activities. The proposed methods have broad applicability, but are mainly motivated by applications in the field of Embedded System Design. In particular, high-performance embedded computing recently witnessed the shift from single CPU platforms with application-specific accelerators to programmable Multi Processor Systems-on-Chip (MPSoCs). Those allow higher flexibility, real time performance and low energy consumption, but the programmer must be able to effectively exploit the platform parallelism. This raises interest in the development of algorithmic techniques to be embedded in CAD tools; in particular, given a specific application and platform, the objective if to perform optimal allocation of hardware resources and to compute an execution schedule. On this regard, since embedded systems tend to run the same set of applications for their entire lifetime, off-line, exact optimization approaches are particularly appealing. Quite surprisingly, the use of exact algorithms has not been well investigated so far; this is in part motivated by the complexity of integrated allocation and scheduling, setting tough challenges for ``pure'' combinatorial methods. The use of hybrid CP/OR approaches presents the opportunity to exploit mutual advantages of different methods, while compensating for their weaknesses. In this work, we consider in first instance an Allocation and Scheduling problem over the Cell BE processor by Sony, IBM and Toshiba; we propose three different solution methods, leveraging decomposition, cut generation and heuristic guided search. Next, we face Allocation and Scheduling of so-called Conditional Task Graphs, explicitly accounting for branches with outcome not known at design time; we extend the CP scheduling framework to effectively deal with the introduced stochastic elements. Finally, we address Allocation and Scheduling with uncertain, bounded execution times, via conflict based tree search; we introduce a simple and flexible time model to take into account duration variability and provide an efficient conflict detection method. The proposed approaches achieve good results on practical size problem, thus demonstrating the use of exact approaches for system design is feasible. Furthermore, the developed techniques bring significant contributions to combinatorial optimization methods.
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This work concerns the study of bounded solutions to elliptic nonlinear equations with fractional diffusion. More precisely, the aim of this thesis is to investigate some open questions related to a conjecture of De Giorgi about the one-dimensional symmetry of bounded monotone solutions in all space, at least up to dimension 8. This property on 1-D symmetry of monotone solutions for fractional equations was known in dimension n=2. The question remained open for n>2. In this work we establish new sharp energy estimates and one-dimensional symmetry property in dimension 3 for certain solutions of fractional equations. Moreover we study a particular type of solutions, called saddle-shaped solutions, which are the candidates to be global minimizers not one-dimensional in dimensions bigger or equal than 8. This is an open problem and it is expected to be true from the classical theory of minimal surfaces.
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This thesis was carried out in the context of a co-tutoring program between Centro Ceramico Bologna (Italy) and Instituto di Tecnologia Ceramica, Castellón de la Plana (Spain). The subject of the thesis is the synthesis of silver nanoparticles and at their likely decorative application in the productive process of porcelain ceramic tiles. Silver nanoparticles were chosen as a case study, because metal nanoparticles are thermally stable, and they have non-linear optical properties when nano-structured, and therefore they develop saturated colours. The nanoparticles were synthesized by chemical reduction in aqueous solution, a method chosen because of its reduced working steps and energy costs. Besides such a synthesis method uses non-expensive and non-toxic raw material. By adopting this synthesis technique, it was also possible to control the dimension and the final shape of the nanoparticles. Several syntheses were carried out during the research work, modifying the molecular weight of the reducing agent and/or the firing temperature, in order to evaluate the influence such parameters have on the Ag-nanoparticles formation. The syntheses were monitored with the use of UV-Vis spectroscopy and the average dimension as well as the morphology of the nanoparticles was analysed by SEM. From the spectroscopic data obtained from each synthesis, a kinetic study was completed, relating the progress of the reaction to the two variables (ie temperature and molecular weight of the reducing agent). The aim was finding equations that allow the establishing of a relationship between the operating conditions during the synthesis and the characteristics of the final product. The next step was finding the best method of synthesis for the decorative application. For such a purpose the amount of nanoparticles, their average particle size, the shape and the agglomeration are considered. An aqueous suspension containing the nanoparticles is then sprayed over the fired ceramic tiles and they are subsequently thermally treated in conditions similar to the industrial one. The colorimetric parameters of the obtained ceramic tiles were studied and the method proved successful, giving the ceramic tiles stable and intense colours.
Resumo:
Background. Outcome of elderly acute myeloid leukemia (AML) patients is dismal. Targeted-therapies might improve current results by overcoming drug-resistance and reducing toxicity. Aim. We conduced a phase II study aiming to assess efficacy and toxicity of Tipifarnib (Zarnestra®) and Bortezomib (Velcade®) association in AML patients >18 years, unfit for conventional therapy, or >60 years, in relapse. Furthermore, we aimed to evaluated the predictive value of the RASGRP1/APTX ratio, which was previously found to be associated to treatment sensitivity in patients receiving Zarnestra alone. Methods. Velcade (1.0 mg/m2) was administered as weekly infusion for 3 weeks (days 1, 8, 15). Zarnestra was administered at dose of 300-600 mg BID for 21 consecutive days. Real-time quantitative-PCR (q-PCR) was used for RASGRP1/APTX quantification. Results. 50 patients were enrolled. Median age was 71 years (56-89). 3 patients achieved complete remission (CR) and 1 partial response (PR). 2 patients obtained an hematological improvement (HI), and 3 died during marrow aplasia. 10 had progressive disease (PD) and the remaining showed stable disease (SD). RASGRP1/APTX was evaluated before treatment initiation on bone marrow (BM) and/or peripheral blood (PB). The median RASGRP/APTX value on BM was higher in responder (R) patients than in non responders (NR) ones, respectively (p=0.006). Interestingly, no marrow responses were recorded in patients with BM RASGRP1/APTX ratio <12, while the response rate was 50% in patients with ratio >12. Toxicity was overall mild, the most common being febrile neutropenia. Conclusion. We conclude that the clinical efficacy of the combination Zarnestra-Velcade was similar to what reported for Zarnestra alone. However we could confirm that the RASGPR1/APTX level is an effective predictor of response. Though higher RASGRP1/APTX is relatively rare (~10% of cases), Zarnestra (±Velcade) may represent an important option in a subset of high risk/frail AML patients.
Resumo:
The assessment of the RAMS (Reliability, Availability, Maintainability and Safety) performances of system generally includes the evaluations of the “Importance” of its components and/or of the basic parameters of the model through the use of the Importance Measures. The analytical equations proposed in this study allow the estimation of the first order Differential Importance Measure on the basis of the Birnbaum measures of components, under the hypothesis of uniform percentage changes of parameters. The aging phenomena are introduced into the model by assuming exponential-linear or Weibull distributions for the failure probabilities. An algorithm based on a combination of MonteCarlo simulation and Cellular Automata is applied in order to evaluate the performance of a networked system, made up of source nodes, user nodes and directed edges subjected to failure and repair. Importance Sampling techniques are used for the estimation of the first and total order Differential Importance Measures through only one simulation of the system “operational life”. All the output variables are computed contemporaneously on the basis of the same sequence of the involved components, event types (failure or repair) and transition times. The failure/repair probabilities are forced to be the same for all components; the transition times are sampled from the unbiased probability distributions or it can be also forced, for instance, by assuring the occurrence of at least a failure within the system operational life. The algorithm allows considering different types of maintenance actions: corrective maintenance that can be performed either immediately upon the component failure or upon finding that the component has failed for hidden failures that are not detected until an inspection; and preventive maintenance, that can be performed upon a fixed interval. It is possible to use a restoration factor to determine the age of the component after a repair or any other maintenance action.
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During the last few years, a great deal of interest has risen concerning the applications of stochastic methods to several biochemical and biological phenomena. Phenomena like gene expression, cellular memory, bet-hedging strategy in bacterial growth and many others, cannot be described by continuous stochastic models due to their intrinsic discreteness and randomness. In this thesis I have used the Chemical Master Equation (CME) technique to modelize some feedback cycles and analyzing their properties, including experimental data. In the first part of this work, the effect of stochastic stability is discussed on a toy model of the genetic switch that triggers the cellular division, which malfunctioning is known to be one of the hallmarks of cancer. The second system I have worked on is the so-called futile cycle, a closed cycle of two enzymatic reactions that adds and removes a chemical compound, called phosphate group, to a specific substrate. I have thus investigated how adding noise to the enzyme (that is usually in the order of few hundred molecules) modifies the probability of observing a specific number of phosphorylated substrate molecules, and confirmed theoretical predictions with numerical simulations. In the third part the results of the study of a chain of multiple phosphorylation-dephosphorylation cycles will be presented. We will discuss an approximation method for the exact solution in the bidimensional case and the relationship that this method has with the thermodynamic properties of the system, which is an open system far from equilibrium.In the last section the agreement between the theoretical prediction of the total protein quantity in a mouse cells population and the observed quantity will be shown, measured via fluorescence microscopy.
Resumo:
The survey approachs the issue of health and the problem of its effective protection in a context of deprivation of liberty and coercion, which is the prison. The theoretical reflection born from the reform of the Legislative Decree 230/99 which marked the transition from an employee by the Prison Health within prison a fully integrated in the National Health Service. The comparison between an institution of health promotion and institution of punishment which may operate on the same subject held produces multiple attrits, making their relationship problematic. The work shows the daily difficulties in the management of prison health within the institution, physician-patient between different health care roles, and between the latter and prison workers. The coexistence, in fact, is not always harmonious though quite often it is common sense and the willingness of operators to reduce barriers: overcrowding, limited resources and insufficient staff make the application of the rule and therefore the right to goal a difficult to be pursued. It is designed for a scheme of semi-structured interview essay is divided into 3 sections covering: "staff and its functions", "health reform" and "health of the prisoner"; questions were directed to doctors, nurses and psychologists engaged inside the prison of Rimini with the specific aim of examining the ambivalent relationship between the demand for health care in prisons and the need for security and a clear - albeit partial - point of view. We tried to reconstruct the situation of prison health care through the perception of prison operators, capturing the problematic issues that deal on both issues is instrumental to the experience of persons detained by analyzing, in terms of operators , what happens inside of a prison institution in everyday health care.
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This thesis deals with the study of optimal control problems for the incompressible Magnetohydrodynamics (MHD) equations. Particular attention to these problems arises from several applications in science and engineering, such as fission nuclear reactors with liquid metal coolant and aluminum casting in metallurgy. In such applications it is of great interest to achieve the control on the fluid state variables through the action of the magnetic Lorentz force. In this thesis we investigate a class of boundary optimal control problems, in which the flow is controlled through the boundary conditions of the magnetic field. Due to their complexity, these problems present various challenges in the definition of an adequate solution approach, both from a theoretical and from a computational point of view. In this thesis we propose a new boundary control approach, based on lifting functions of the boundary conditions, which yields both theoretical and numerical advantages. With the introduction of lifting functions, boundary control problems can be formulated as extended distributed problems. We consider a systematic mathematical formulation of these problems in terms of the minimization of a cost functional constrained by the MHD equations. The existence of a solution to the flow equations and to the optimal control problem are shown. The Lagrange multiplier technique is used to derive an optimality system from which candidate solutions for the control problem can be obtained. In order to achieve the numerical solution of this system, a finite element approximation is considered for the discretization together with an appropriate gradient-type algorithm. A finite element object-oriented library has been developed to obtain a parallel and multigrid computational implementation of the optimality system based on a multiphysics approach. Numerical results of two- and three-dimensional computations show that a possible minimum for the control problem can be computed in a robust and accurate manner.
Resumo:
The aim of this study was to investigate the influence of the diaphragm flexibility on the behavior of out-of-plane walls in masonry buildings. Simplified models have been developed to perform kinematic and dynamic analyses in order to compare the response of walls with different restraint conditions. Kinematic non linear analyses of assemblages of rigid blocks have been performed to obtain the acceleration-displacement curves for walls with different restraint conditions at the top. A simplified 2DOF model has been developed to analyse the dynamic response of the wall with an elastic spring at the top, following the Housner rigid behaviour hypothesis. The dissipation of energy is concentrated at every impact at the base of the wall and is modelled through the introduction of the coefficient of restitution. The sets of equations of the possible configurations of the wall, depending on the different positions of the centre of rotation at the base and at the intermediate hinge have been obtained. An algorithm for the numerical integration of the sets of the equations of motion in the time domain has been developed. Dynamic analyses of a set of walls with Gaussian impulses and recorded accelerograms inputs have been performed in order to compare the response of the simply supported wall with the one of the wall with elastic spring at the top. The influence of diaphragm stiffness Kd has been investigated determining the variation of maximum displacement demand with the value of Kd. A more regular trend has been obtained for the Gaussian input than for the recorded accelerograms.
Resumo:
La ricerca ha ad oggetto l’analisi della disciplina della responsabilità del vettore terrestre di merci per conto terzi ed i riflessi che detta disciplina ha avuto modo di svilupparsi nel mercato assicurativo. L’attenzione è stata rivolta al contratto di trasporto di cose in generale, seguendone la disciplina codicistica e le evoluzioni legislative intervenute. Particolare rilievo assume la novella apportata all’art. 1696 c.c., introdotta dall’art. 10 del Dlgs. 286/2005, grazie alla quale l’ordinamento italiano ha potuto codificare il limite di indennizzo dovuto dal vettore nell’ipotesi di colpa lieve, L’introduzione del limite legale di indennizzo per le ipotesi di responsabilità per perdita o avaria della merce trasportata ha generato nel mondo assicurativo interessanti reazioni. L’elaborato esamina anche l’evoluzione giurisprudenziale formatisi in tema di responsabilità vettoriale, evidenziando il crescente rigore imposto dalla giurisprudenza fondato sul principio del receptum. Tale fenomeno ha visto immediata reazione nel mercato assicurativo il quale, sulla base di testi contrattuali non dissimili tra le diverse compagnie di assicurazioni operanti sul mercato domestico e che traevano origine dai formulari approvati dall’ANIA, ha seguito l’evoluzione giurisprudenziale apportando significative restrizioni al rischio tipico previsto dalle coperture della responsabilità civile vettoriale. La ricerca si è poi focalizzata sull’esame delle più comuni clausole contemplate dalle polizze di assicurazioni di responsabilità civile e sul loro significato alla luce delle disposizioni di legge in materia. Tale analisi riveste preminente interesse poiché consente di verificare in concreto come l’assicurazione possa effettivamente costituire per l’impresa di trasporto non tanto un costo bensì una opportunità di risparmio da un lato ed un modello comportamentale, sebbene indotto, dall’altro lato per il raggiungimento di quei canoni di diligenza che qualsiasi operatore del settore dovrebbe tenere durante l’esecuzione del trasporto ed il cui venir meno determina, come detto, sensibili effetti pregiudizievoli di carattere economico.
Resumo:
Nell’attuale contesto di aumento degli impatti antropici e di “Global Climate Change” emerge la necessità di comprenderne i possibili effetti di questi sugli ecosistemi inquadrati come fruitori di servizi e funzioni imprescindibili sui quali si basano intere tessiture economiche e sociali. Lo studio previsionale degli ecosistemi si scontra con l’elevata complessità di questi ultimi in luogo di una altrettanto elevata scarsità di osservazioni integrate. L’approccio modellistico appare il più adatto all’analisi delle dinamiche complesse degli ecosistemi ed alla contestualizzazione complessa di risultati sperimentali ed osservazioni empiriche. L’approccio riduzionista-deterministico solitamente utilizzato nell’implementazione di modelli non si è però sin qui dimostrato in grado di raggiungere i livelli di complessità più elevati all’interno della struttura eco sistemica. La componente che meglio descrive la complessità ecosistemica è quella biotica in virtù dell’elevata dipendenza dalle altre componenti e dalle loro interazioni. In questo lavoro di tesi viene proposto un approccio modellistico stocastico basato sull’utilizzo di un compilatore naive Bayes operante in ambiente fuzzy. L’utilizzo congiunto di logica fuzzy e approccio naive Bayes è utile al processa mento del livello di complessità e conseguentemente incertezza insito negli ecosistemi. I modelli generativi ottenuti, chiamati Fuzzy Bayesian Ecological Model(FBEM) appaiono in grado di modellizare gli stati eco sistemici in funzione dell’ elevato numero di interazioni che entrano in gioco nella determinazione degli stati degli ecosistemi. Modelli FBEM sono stati utilizzati per comprendere il rischio ambientale per habitat intertidale di spiagge sabbiose in caso di eventi di flooding costiero previsti nell’arco di tempo 2010-2100. L’applicazione è stata effettuata all’interno del progetto EU “Theseus” per il quale i modelli FBEM sono stati utilizzati anche per una simulazione a lungo termine e per il calcolo dei tipping point specifici dell’habitat secondo eventi di flooding di diversa intensità.
Resumo:
La presente ricerca muove i suoi primi passi dall’ipotesi generale che il paradigma relazionale possa offrire al mondo dei servizi sociali una configurazione diversa, talora meno utopistica, del community work. Sebbene, infatti, in questi anni il sistema di offerta dei servizi si sia arricchito di principi come la co-progettazione e la co-responsabilità delle azioni, il lavoro di comunità resta ancora molto distante dal lavoro generalmente svolto nei servizi sociali territoriali, incapaci per ragioni strutturali e culturali di accogliere dentro di sé tale funzione. L’idea dalla quale trae origine la presente tesi di dottorato, è pertanto quella di arricchire la definizione di servizi sociali relazionali. Partendo dalle dimensioni che in letteratura sociologica e nei principali modelli teorici di social work definiscono un servizio alla persona quale servizio relazionale, nella prima parte teorica viene ipotizzata una trasformazione parziale del welfare regionale emiliano, poiché ai mutamenti culturali di questi anni non ha fatto seguito un cambiamento reale dei modelli operativi maggiormente basati sullo sviluppo delle competenze. Nella seconda parte della tesi, la ricerca empirica si focalizza sui progetti “family friendly” realizzati nel Comune di Parma, collocati in una logica di welfare societario e basati sull’apporto di soggetti di Terzo Settore, responsabili di ogni fase di realizzazione delle attività. La ricerca si avvale prevalentemente di tecniche qualitative e in alcuni tratti assume le caratteristiche della ricerca-azione. Nelle conclusioni, il contesto territoriale studiato rivela grande ricchezza dei legami strutturali, ma anche necessità di un rafforzamento dei legami interni. La forza dei servizi prodotti si situa, inoltre, nella sovrafunzionalità del legame tra volontari e famiglie, e di questo elemento dovrebbe arricchirsi anche il social work che scelga di adottare una prospettiva metodologica di lavoro relazionale.
Resumo:
Questa tesi descrive alcuni studi di messa a punto di metodi di analisi fisici accoppiati con tecniche statistiche multivariate per valutare la qualità e l’autenticità di oli vegetali e prodotti caseari. L’applicazione di strumenti fisici permette di abbattere i costi ed i tempi necessari per le analisi classiche ed allo stesso tempo può fornire un insieme diverso di informazioni che possono riguardare tanto la qualità come l’autenticità di prodotti. Per il buon funzionamento di tali metodi è necessaria la costruzione di modelli statistici robusti che utilizzino set di dati correttamente raccolti e rappresentativi del campo di applicazione. In questo lavoro di tesi sono stati analizzati oli vegetali e alcune tipologie di formaggi (in particolare pecorini per due lavori di ricerca e Parmigiano-Reggiano per un altro). Sono stati utilizzati diversi strumenti di analisi (metodi fisici), in particolare la spettroscopia, l’analisi termica differenziale, il naso elettronico, oltre a metodiche separative tradizionali. I dati ottenuti dalle analisi sono stati trattati mediante diverse tecniche statistiche, soprattutto: minimi quadrati parziali; regressione lineare multipla ed analisi discriminante lineare.
Resumo:
Over the years the Differential Quadrature (DQ) method has distinguished because of its high accuracy, straightforward implementation and general ap- plication to a variety of problems. There has been an increase in this topic by several researchers who experienced significant development in the last years. DQ is essentially a generalization of the popular Gaussian Quadrature (GQ) used for numerical integration functions. GQ approximates a finite in- tegral as a weighted sum of integrand values at selected points in a problem domain whereas DQ approximate the derivatives of a smooth function at a point as a weighted sum of function values at selected nodes. A direct appli- cation of this elegant methodology is to solve ordinary and partial differential equations. Furthermore in recent years the DQ formulation has been gener- alized in the weighting coefficients computations to let the approach to be more flexible and accurate. As a result it has been indicated as Generalized Differential Quadrature (GDQ) method. However the applicability of GDQ in its original form is still limited. It has been proven to fail for problems with strong material discontinuities as well as problems involving singularities and irregularities. On the other hand the very well-known Finite Element (FE) method could overcome these issues because it subdivides the computational domain into a certain number of elements in which the solution is calculated. Recently, some researchers have been studying a numerical technique which could use the advantages of the GDQ method and the advantages of FE method. This methodology has got different names among each research group, it will be indicated here as Generalized Differential Quadrature Finite Element Method (GDQFEM).