Underdevelopment has plagued Sub-Saharan Africa (SSA), since independence the post-colonial African states have experienced extreme poverty, unemployment, and other economic ailments that have persisted in the region. The aim of this thesis is to critique the null hypothesis of dependency theorists that it is structural factors that cause underdevelopment instead this study proposes an alternative hypothesis through Neo-Classical Realism to explain that it is in fact state-level actors and domestic issues that are the true culprit of causing the dependent variable. The methodological approach is a single embedded case-study with an explaining-outcome process-tracing. The thesis found that the cause of the underdevelopment in Nigeria is firmly rooted in the domestic sphere and that it delves much deeper than the main factors; resource dependence, lax institutions, prebendalism, and Sino-Nigerian relations, but it is the socio-political culture that has produced the norms which the elites operate on and possibly contributing to the exasperation of the negative aspects of the main factors that have perpetuated and sustained underdevelopment in Nigeria and SSA.

Thèse numérisée par la Direction des bibliothèques de l'Université de Montréal. / Dans cette thèse nous abordons la conception de nouveaux schémas de type volumes finis pour la résolution de systèmes hyperboliques non-linéaires pour la prédiction des écoulements compressibles instationnaires. Les nouveaux schémas présentés s'appuient tous sur les schémas proposés par Arminjon-Viallon et Arminjon-Stanescu-Viallon en 2 dimensions spatiales qui, eux, furent dérivés du schéma de Nessyahu-Tadmor en une dimension d'espace construit à partir du schéma décalé bien connu de Lax-Friedrichs. Ces schémas peuvent être considérés comme étant tous du type de Godunov et ont pour caractéristique principale d'éviter la résolution des problèmes de Riemann aux interfaces en utilisant 2 maillages différents pour, respectivement, les pas de temps pairs et impairs. Pour éviter la trop grande diffusion amenée par le schéma de Lax-Friedrichs, on a eu recours à l'utilisation d'une technique nommée MUSCL, originalement proposée par van Leer, consistant à reconstruire la solution constante par cellule en une solution linéaire par cellule tout en limitant les oscillations grâce à l'utilisation de fonctions non-linéaires. On obtient tout d'abord une extension en 3 dimensions spatiales sur des maillages cartésiens structurés. Ensuite, nous abordons le cas de maillages non-structurés composés de tétraèdres, et la formulation mathématique du schéma associé à ces cellules. Pour réduire les temps de calcul, un nouveau, schéma de type centré fondé sur celui de Nessyahu-Tadmor mais évitant l'utilisation d'un pas intermédiaire, et composé d'un nouveau flux est proposé en une et 2 dimensions spatiales pour des maillages structurés, puis en 3 dimensions sur des maillages non structurés composés de tétraèdres. Les résultats obtenus démontrent que les nouvelles méthodes sont moins sensibles aux maillages déformés et qu'elles sont plus simples à mettre en oeuvre du fait que le problème de Rie-mann est évité et qu'aucune information sur la décomposition de la discontinuité en les différents champs caractéristiques du système n'est nécessaire.

This project was performed on assigment of Vattenfall R&D in Älvkarleby. The project was a first step in evaluating whether bubble curtains with vertical tubes could be suitable for diverting fish from hydro power intakes into fish passages. To determine this, prototypes were constructed, where one was tested in still water and one in running water. The tests in still water were carried out in a large cylindrical tank and the tests in running water were carried out in Kungsr¨annan in ¨Alvkarleby. A number of test variables were developed to be able to vary the tests. These test variables were hole size, number of holes, tube center-to-center distance, air flow and water velocity. The tests were carried out without fish, but a number of indicators were developed to be able to compare and evaluate the tests. For the tests in still water, these indicators were the width of the bubble curtain created by a single tube and the horizontal movement of the air bubbles, to determine whether the hydrostatic pressure from the surrounding water had any effect on the appearance of the bubble curtain. For the tests in running water, the indicators were the bubble curtain density, the curvature of the tubes and the movement of the tubes. All experiments were documented using cameras and the results were then obtained through image processing in the software MATLAB. The results showed that the width of the bubble curtain created by a single tube varied between 12 and 34 cm for pressures between 0.5 and 2.0 bar. It was concluded that the hydrostatic pressure was of minimal significance for the appearance of the bubble curtain, at least for depths up to 1.95 m. For the tests in running water, the air flow rate and tube center-to-center distance was of the greatest importance for the bubble curtain density. The curvature of the tubes were most affected by the size of the holes and the movement of the tubes were most affected by the number of holes. / Detta projekt utfördes på uppdrag av Vattenfall R&D i Älvkarleby. Projektet var ett första steg i att utvärdera om bubbelridåer med vertikala slangar skulle kunna lämpa sig för att avleda fisk från vattenkraftverk vidare mot fiskpassager. För att avgöra detta konstruerades prototyper, där en testades i stilla vatten och en i rinnande vatten. Testerna i stilla vatten utfördes i en stor cylindrisk tank och testerna i rinnande vatten utfördes i Kungsrännan i Älvkarleby. Ett antal testvariabler togs fram för att kunna variera testerna. Dessa testvariabler var hålstorlek, antal hål, avstånd mellan slangarnas centrum, luftflöde samt vattenhastighet. Testerna gjordes utan fisk, men ett antal indikatorer togs fram för att kunna jämföra och utvärdera testerna. För testerna i stilla vatten var dessa indikatorer bubbelridåns bredd skapad av en enskild slang samt luftbubblornas horisontella förflyttning, för att avgöra om det hydrostatiska trycket från omgivande vattnet hade någon effekt på bubbelridåns utseende. För testerna i rinnande vatten var indikatorerna bubbelridåns täthet, slangens krökning samt slangens rörelser. Alla experiment dokumenterades med hjälp av kameror och resultaten togs sedan fram genom bildhantering i programvaran MATLAB. Resultaten visade att bubbelridåns bredd skapad av en enskild slang varierade mellan 12 och 34 cm för tryck mellan 0,5 och 2,0 bar. Det bedömdes att det hydrostatiska trycket var av minimal betydelse för bubbelridåns utseende, åtminstone för djup upp till 1,95 m. För testerna i rinnande vatten visade resultaten att luftflödet och avståndet mellan slangarnas centrum var av störst betydelse förr bubbelridåns täthet. Slangens krökning påverkades mest av hålens storlek och slangens rörelser påverkades mest av antalet hål.

Inverse problems occur in a wide variety of applications and are an active area of research in many disciplines. We consider inverse problems for a broad class of nonlinear systems of partial differential equations (PDEs). We develop collage-based approaches for solving inverse problems for nonlinear PDEs of elliptic, parabolic and hyperbolic type. The original collage method for solving inverse problems was developed in [29] with broad application, in particular to ordinary differential equations (ODEs). Using a consequence of Banach’s fixed point theorem, the collage theorem, one can bound the approximation error above by the so-called collage distance, which is more readily minimizable. By minimizing the collage distance the approximation error can be controlled. In the case of nonlinear PDEs we consider the weak formulation of the PDE and make use of the nonlinear Lax-Milgram representation theorem and Galerkin approximation theory in order to develop a similar upper-bound on the approximation error. Supporting background theory, including weak solution theory,is presented and example problems are solved for each type of PDE to showcase the methods in practice. Numerical techniques and considerations are discussed and results are presented. To demonstrate the practical applicability of this work, we study two real-world applications. First, we investigate a model for the migration of three fish species through floodplain waters. A development of the mathematical model is presented and a collage-based method is applied to this model to recover the diffusion parameters. Theoretical and numerical particulars are discussed and results are presented. Finally, we investigate a model for the “Gao beam”, a nonlinear beam model that incorporates the possibility of buckling. The mathematical model is developed and the weak formulation is discussed. An inverse problem that seeks the flexural rigidity of the beam is solved and results are presented. Finally, we discuss avenues of future research arising from this work. / Natural Sciences and Engineering Research Council of Canada, Department of Mathematics & Statistics

On étudie dans cette thèse l'équation de Szegö sur la droite réelle ainsi que ses perturbations. Cette équation a été introduite il y a quelques années par Gérard et Grellier comme modèle mathématique d'une équation non linéaire totalement non dispersive.L'équation de Szegöapparait naturellement dans l'étude de l'équation de Schrödinger non linéaire (NLS) danscertaines situations sur-critiques où l'on constate un manque de dispersion, par exemplelorsque l'on considère NLS sur le groupe de Heisenberg. Par conséquent, une des motivationsde cette thèse est d'établir des résultats concernant l'équation de Szegö qui pourrontéventuellement être utilisés dans le contexte de l'équation de Schrödinger non linéaire.Le premier résultat de cette thèse est la classification des solitons de l'équation de Szegö.On montre que ce sont tous des fonctions rationnelles ayant un unique pôle qui est simple.De plus, on prouve que les solitons sont orbitalement stables.La propriété la plus remarquable de l'équation de Szegö est le fait qu'elle est complètement intégrable, ce qui permet notamment d'établir une formule explicite de sa solution.Comme applications de cette formule, on obtient les trois résultats suivants. (A) On montreque les solutions fonctions rationnelles génériques se décomposent en une somme de solitonset d'un reste qui est petit lorsque le temps tend vers l'infini. (B) On met en évidence unexemple de solution non générique dont les grandes normes de Sobolev tendent vers l'infiniavec le temps. (C) On détermine des coordonnées action-angle généralisées lorsque l'on restreintl'équation de Szegö à une sous-variété de dimension finie. En particulier, on en déduitqu'une grande partie des trajectoires de cette équation sont des spirales autour de cylindrestoroïdaux.Comme l'équation de Szegö est complètement intégrable, il est ensuite naturel d'étudierses perturbations et d'établir de nouvelles propriétés pour celles-ci à partir des résultatsconnus pour l'équation de Szegö. Une des perturbations de l'équation de Szegö est une équation desondes non linéaire (NLW) de donnée bien préparée.On prouve que si la donnée initiale de NLW est petite et à support dans l'ensemble desfréquences positives, la solution de NLW est alors approximée pour un temps long par lasolution de l'équation de Szegö. Autrement dit, on démontre ainsi que l'équation de Szegöest la première approximation de NLW. On construit ensuite une solution de NLW dont lesgrandes normes de Sobolev augmentent (relativement à la norme de la donnée initiale).Sur le tore T, Gérard et Grellier ont démontré un résultat analogue d'approximation deNLW. On améliore ce résultat en trouvant une approximation plus fine, de deuxième ordre.Dans une dernière partie, on s'intéresse à l'équation de Szegö perturbée par un potentielmultiplicatif petit. On étudie l'interaction de ce potentiel avec les solitons. Plus précisément,on montre que, si la donnée initiale est celle d'un soliton pour l'équation non perturbée, lasolution de l'équation perturbée garde la forme d'un soliton sur un long temps. De plus, ondéduit la dynamique effective, i.e. les équations différentielles satisfaites par les paramètresdu soliton.

In Lake Vänern, Sweden, there is an endemic population of Atlantic salmon (Salmo salar L.) that lives its entire life in fresh water. The salmon is hindered from migrating to its natural spawning sites in the northern part of the River Klarälven by nine hydro-electric power plants. None of the hydro-electric power plants have fishways so that salmon migrating upstream or downstream may pass. In the current situation, the upward migrating salmon are caught in a fish trap at the most downstream located power plant in Forshaga. From there, the salmon are driven in a truck, past eight power plants and released a few kilometers upstream of the eighth power plant at Edsforsen. This study investigated the difference in the proportion of fallbacks between early (June-July) and late (August-September) migrating salmons in 2011-2013. The results showed that there was a significant difference in the proportion of fallbacks between the early and the late-migrating salmon. Fifty-one percent of the early salmon and 13% of the late salmon fell back during these 3 years. Further, there was no significant difference between males and females that became fallbacks. Nor was there any difference in the length of early and late-migrating salmon or fallbacks and non-fallbacks. / I sjön Vänern, Sverige, finns en endemisk population av Atlantlax (Salmo salar L.) som lever hela sitt liv i sötvatten. Laxen hindras från att migrera till sina naturliga lekplatser i norra delen av Klarälven av nio vattenkraftverk. Inget av vattenkraftverken har fiskvägar så att lax som migrerar uppströms eller nedströms kan passera. I dagsläget fångas lax som vandrar uppströms in i en fiskfälla vid det mest nedströms belägna kraftverket i Forshaga. Därifrån körs laxen i lastbil förbi åtta kraftverk och släpps ut några kilometer uppströms det åttonde kraftverket i Edsforsen. Den här studien undersökte skillnaden i andelen fallbacks mellan tidigt (juni-juli) och sent (augusti-september) migrerande laxar under åren 2011-2013. Resultaten visade att det fanns en signifikant skillnad i andelen fallbacks mellan den tidiga och den sent migrerande laxen. Femtioen procent av den tidiga laxen och 13% av den sena laxen föll tillbaka under dessa 3 år. Vidare fanns det ingen signifikant skillnad mellan hanar och honor som blev fallbacks. Det fanns inte heller någon skillnad i längden av tidigt och sent migrerande lax eller lax som föll tillbaka och lax som inte föll tillbaka.

Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-06T12:56:02Z No. of bitstreams: 1 TATIANA ROCHA DE SOUZA - DISSERTAÇÃO PPGMAT 2005..pdf: 635145 bytes, checksum: 84477cb78515ac5241ef5b362a0ff141 (MD5) / Made available in DSpace on 2018-07-06T12:56:02Z (GMT). No. of bitstreams: 1 TATIANA ROCHA DE SOUZA - DISSERTAÇÃO PPGMAT 2005..pdf: 635145 bytes, checksum: 84477cb78515ac5241ef5b362a0ff141 (MD5) Previous issue date: 2005-08 / Capes / Neste trabalho estudamos a eficiência do Método de Galerkin na resolução de problemas e sistemas Elípticos lineares, não-lineares, variacionias e não-variacionais. / In this work we study the Galerkin Method efficiency in solving of linear, nonlinear, variational and nonvariational Elliptic problems and Elliptic systems.

Minimizing numerical dissipation without compromising the robust shock-capturing attributes remains an outstanding challenge in the design of numerical methods for high-speed compressible flows. The conflicting requirements of low and high numerical dissipation for accurate resolution of discontinuous and smooth flow features, respectively, are the principal reason behind this challenge. In this work we pursue a recently proposed novel strategy of combining adaptive mesh redistribution with conservative high-order shock-capturing finite-volume discretization methodology to overcome this challenge. In essence, we perform high-order finite-volume WENO (weighted essentially non oscillatory) reconstruction on a continuously moving grid the nodes of which are repositioned adaptively in such a way that maximum spatial resolution is achieved in regions associated with sharpest flow gradients. Moreover, to reduce computational expense, the finite-volume WENO discretization strategy is combined with the midpoint quadrature so that only one reconstruction along each intercool location is necessary. To estimate a monotone upwind flux, a rotated HLLC (Harten-Lax-vanLeer-contact resolving) Riemann solver is employed at each intercool location with the state variables estimated from the high-order WENO reconstruction procedure. The effectiveness of this adaptive high-order discretization methodology is assessed on the well-known double Mach reflection test case for reconstruction orders ranging from five to eleven. We find that the resolution of the intricate flow features such as the wall-jet improves progressively with the reconstruction order, which is indicative of the reduced dissipation level of the adaptive high-order WENO discretization. The adaptive discretization methodology is applied to simulate a flow configuration consisting of a Mach 3 supersonic jet injected in a Mach 2 supersonic crossflow of similar ideal gas. It is found that the flow characteristics and especially features that are formed as a result of the Kelvin-Helmholtz instability are strongly influenced by the reconstruction order. The influence of the jet inclination angle on the overall flow features is analyzed.

The earth’s climate is rapidly changing. With climate change currently altering the environment, water temperature is an important environmental factor that will have various effects on fishes since they are ectotherms. As the changes are expected to be greatest during winter, when salmonid fishes incubate their eggs, one might expect substantial effects on egg development. In this experiment pairs of fish, matched by length, were compared. For each pair, one fish had experienced ambient cold temperatures (cold treatment) during embryogenesis and the other elevated temperatures (warm treatment, ca. 4-5 oC). The fish were tested in stream. Aggressive interactions were recorded and dominance was determined by scoring each fish’s position relative to where food was delivered from and the amount of food taken. Salmon from the cold treatment had a strong tendency to have a higher dominance score than salmon from the warm treatment. The individual with the highest dominance score was not consistently larger or smaller than the individual with the lower dominance score. The results support the hypothesis that salmonids exposed to a cold environment during embryogenesis will be more dominant. Due to climate change, it is expected that water temperature will continue to rise in the future, which in turn will alter the fish’s behaviour. / Jordens klimat förändras snabbt. Med klimatförändringar som för närvarande förändrar miljön är vattentemperaturen en viktig miljöfaktor som kommer att ha olika effekter på fiskar eftersom de är ektoterma. Eftersom förändringarna förväntas vara störst under vintern, när laxfiskar inkuberar sina ägg, kan man förvänta sig betydande effekter på äggutvecklingen. I det här experimentet jämfördes fisk par, matchade med längd. För varje par hade en fisk upplevt kalla vattentemperaturer (kall behandling) under embryogenesen och de andra förhöjda temperaturerna (varm behandling, ca 4-5 oC). Fisken testades i strömakvarie. Aggressiva interaktioner registrerades och dominans bestämdes genom att poängsätta varje fisks position i förhållande till var mat levererades från och mängden mat som tagits. Lax från den kalla behandlingen hade en stark tendens att ha högre dominanspoäng än lax från den varma behandlingen. Individen med högsta dominanspoäng var inte konsekvent större eller mindre än individen med lägre dominanspoäng. Resultaten stöder hypotesen att salmonider utsätts för en kall miljö under embryogenes kommer att vara den mer dominerande. På grund av klimatförändringen är det förväntat att vattentemperaturen fortsätter att stiga i framtiden, vilket i sin tur kommer att förändra fiskens beteende.

Under hösten leker en inhemsk population av Atlantisk lax (Salmo salar) i Klarälven, Sverige, för att därefter vandra nedströms tillbaka till sjön Vänern. Vid älvens andra kraftverk sett från Vänerns mynning, Dejefors kraftverk, finns det planer på att ersätta ett av kraftverken mot ett nytt och det finns därför ett behov av att ta reda på hur laxens nedströmsvandring påverkas av det kraftverket som finns där i dag. Då alla kraftverk i Klarälven saknar fiskpassagelösningar är det extra viktigt att följa upp laxarnas passageöverlevnad under vandringen. Avsikten med denna studie var därför att ta reda på hur laxen rörde sig runt kraftverket, hur väl de klarade av att passera kraftverket beroende av vilken passageväg de tog och vilka faktorer som påverkade passageframgången. Under september 2020 fångades 40 laxindivider in när de var på väg uppströms inför leken. De mättes och märktes med telemetrisändare för att sedan transporteras uppströms och släppas ut nedanför kraftverket i Munkfors, varifrån deras nedströmsvandring förbi Dejefors kraftverk följdes och analyserades med hjälp av akustisk telemetri. Resultatet visade att det inte fanns någon signifikant skillnad mellan kön för när laxarna påbörjade sin nedströmsvandring. Kraftverket visade sig dock fördröja laxarnas nedströmsvandring då det tog längre tid för dem att passera kraftverket än vad det tagit dem att simma ner dit i den fritt strömmande delen av älven. Av de 31 laxar som anlände till Deje så passerade 27 av dem kraftverket, varav 13 individer överlevde (48 %). Överlevnaden var högre för individer som passerade via spillutskoven (10 av 12) än turbinerna (3 av 15). Det fanns en signifikant skillnad i mortalitet vid kraftverkspassage beroende på laxens längd och passageväg; långa individer hade en högre mortalitet (73 %) än kortare (25 %) och passagevägen hade en signifikant effekt på mortaliteten. Resultatet visar tydligt på ett behov av åtgärder för att förbättra överlevnaden hos lax vid passage av Dejefors kraftverk. Lösningar för att få fisken att helt undvika turbinerna och istället välja en annan passageväg vore troligen den bästa och effektivaste lösningen för att öka laxens överlevnad under nedströmsvandringen. / During autumn, the endemic Atlantic salmon (Salmo salar) migrate upstream to spawn in the river Klarälven, Sweden, after which they migrate downstream back to Lake Vänern. There are plans to remove one of the power houses in Deje, and replace it with a new power house, and before that happens it is important to study the downstream passage conditions at the site. As all power plants in Klarälven lack fish passage solutions, it is important to follow up the salmon passage survival during the migration. The purpose of this study was therefore to study how downstream migrating salmon negotiate the power plant, the route-specific passage survival and what factors that could affect their passage success. In September 2020, 40 upstream migrating salmon individuals were caught, measured and tagged after which they were transported and released below the power plant in Munkfors. Their downstream migration past Dejefors power plant was studied and analyzed using acoustic telemetry. The results showed that there was no significant difference between sexes in regards of downstream migration timing. However, the power plant turned out to delay downstream migrating salmon as it took longer time for them to pass the power plant than it took them to swim down the free-flowing part of the river. Of the 31 salmon that arrived in Deje, 27 passed the power plant, of which 13 individuals survived (48%). The survival rate was higher for individuals passing via spillways (10 of 12) than turbines (3 of 15). There was a significant difference in mortality rate at power plant passage depending on the length and passage route of the salmon. Large individuals suffered a higher mortality (11 of 15) than short (3 of 12) and a larger proportion of the salmon died when passing through the turbines than through spill gates. Based on the results, there was a clear need for improved survival rates for salmon passing the Dejefors power plant. The design of the turbines could be changed for increased survival, but at the same time other solutions that will make it possible for fish to avoid the turbines and instead choose another passageway would probably be a better and more efficient solution to increase the survival of the salmon during their downstream migration.