Thesis (M.S.)--University of Wisconsin-Madison, 1993. / Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 36-38).

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Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.

Les équations de Kadomtsev-Petviashvili (KP) décrivent les ondes de faible amplitude et de grande longueur se déplaçant à la surface de l'eau, principalement dans la direction (Ox). Quant à l'équation de Benjamin-Ono (BO), elle décrit de telles ondes se déplaçant à l'intérieur de l'eau. On s'intéresse à ces équations vue en tant qu'équations de type Benjamin-Bona-Mahony (BBM). Notre travail se divise alors en trois parties. Dans la première partie, on rappelle la modélisation des différentes équations. On montre plus particulièrement que les modèles BBM s'obtiennent à partir du principe fondamental de la dynamique. On compare alors les solutions des équations de KP, respectivement de BO, avec les solutions des équations de type BBM d'un point de vue théorique, puis numérique. Dans la seconde partie, on s'intéresse à certaines propriétés qualitatives des équations généralisées de type BBM. Des résultats de prolongement en temps des normes de Sobolev, de décroissance en temps et de prolongement unique des solutions sont établis. Enfin, on termine avec une étude numérique des solutions des équations KP généralisées en dimension 3 d'espace. Dans cette dernière partie, en collaboration avec F. Hamidouche et S. Mefire, on inspecte numériquement les phénomènes de dispersion, d'explosion en temps fmi, de comportement solitonique et d'instabilité transversale. / The Kadomtsev-Petviashvili equations (KP) describe the small amplitude long wave moving mainly in the x-direction in shallow water. As for ti Benjamin-Ono equation (BO), it describes such waves moving inside water. We are interested in these equations seen as equations of Benjamin-BonaMahony type (BBM). Our work is subdivided in three parts. ln the first one, we recall the modelling of the different equations. More particularly, we show that the BBM models are obtained from the fundamental principle of dynamics via an asymptotic analysis. We compare then the solutions of the KP equations, respectively of the BO one, with the solutions of the equations of BBM type. ln the second part, we are interested in sorne qualitative properties of the generalized equations of BBM type. Sorne results of continuation in time of bounds on Sobolev norms, decay in time and unique continuation of the solutions, are established. Finally, we conclude with a numerical study of the solutions of the generalized KP equations in space dimension 3. (n this last part, in collaboration with F. Hamidouche and S. Mefire, we inspect numerically the phenomena of dispersion, blow-up in finite time, solitonic behaviour and transverse instability.

ABSTRACT Two different implant impression materials viz. a polyether (Impregum ®) and a plaster (Plastogum ®) impression material were used and compared with respect to the accuracy with which abutment positions were reproduced from a stainless steel master model containing five implant analogues. Ten polyether impressions and ten plaster impressions were taken and cast in stone. The positions of the precision impression copings on the twenty impressions were measured using a Reflex Microscope. The positions of the implant analogues on the twenty casts were also measured and compared to the positions on the stainless steel master model. Statistical analysis indicated significant differences between the polyether impression and the plaster impression for full arch implant supported prostheses. The use of plaster resulted in smaller interabutment error but with less predictable variance in dimensions.

This dissertation examines the mindset of establishment Louisiana during Huey Long"'s domination of state politics from 1928-1935. As such, it engages the period using a tool other than the Huey Long biography. It utilizes especially manuscript collections, including the T. Harry Williams oral interviews of anti-Longs, the newspaper record, and the secondary literature of the Long period. The character, rhetoric, and actions of several of the most articulate and important establishment anti-Longs are treated, including J.Y. Sanders, Sr. & Jr., Cecil Morgan, Mason Spencer, Hodding and Betty Carter, Hilda Phelps Hammond, and W.D. Robinson. The work makes the following major arguments. Firstly, that anti-Longs intensely although ineffectively opposed the Long program from 1928 and that their touted alternative program of reform was a smokescreen to make deficit-spending to fund infrastructure development institutionally impossible. Secondly, that the 1929 impeachment of Huey Long was caused by establishment opposition to a Long proposed oil tax and that although it shifted establishment rhetoric from a criticism of Long"'s ends to a criticism of his means, the shift was marked by moral and ethical hypocrisy. Thirdly, that the attacks on Long"'s personality which characterized anti-Long rhetoric were rooted in class contempt and alienated the balance of the electorate from anti-Longism. Fourthly, that the comparisons of Long to Hitler and to Mussolini do not stand up to scrutiny but did reflect a deep-seated establishment feeling of entitlement to power and of being bullied and much-abused by Long. Fifthly, that examining the establishment"'s historical memory of the events of the late nineteenth century, especially Reconstruction and Redemption, offers a productive line of enquiry into understanding their mentality, the meaning they attached to the term democracy, and their willingness to consider the legitimacy of political violence. / Alex J McManus

In this thesis we consider estimation of the tail index for heavy tailed stochastic volatility models with long memory. We prove a central limit theorem for a Hill estimator. In particular, it is shown that neither the rate of convergence nor the asymptotic variance is affected by long memory. The theoretical findings are verified by simulation studies.