Este trabalho apresenta um estudo quantitativo e qualitativo de soluções positivas para o problema de Dirichlet para a equação de Hénon (P) { - \'DELTA\'u = \'Ix! POT. \' alpha\'\' \'IuI POT. p-2\' em B, u = sobre \\partial B, onde B é a bola unitária aberta de \'R POT. N\' centrada em zero e \'alpha\' > 0. É mostrado que para p \'> OU =\' \'2 AST\' \'IND. \'alpha\'\' = { \'SUP. 2(N + \'alpha)\' \' INF. N - 2\' ; N > 2, \"INFINITO\'; N = 1,2 \'2 AST\' = { \'SUP. 2N\' \'INF. N - 2\' ; N > 2, \'INFINITO\'; N = 1,2, o problema não tem solução não trivial. Em contrapartida, para 1 < p < \'2 AST\'.\' \'IND. \'alpha\'\' com p \'DIFERENTE DE\' 2, a existência de uma solução positiva radial é garantida. Além disso, é provado a unicidade de solução positiva no caso em que 1 < p < 2. Também são apresentados resultados sobre a existência de soluções ground state quando 2 < p < \'2 AST\'. Nesse intervalo, é mostrado que qualquer solução ground state exibe a simetria Schwarz folheada e, no caso em que \'alpha\' é suficientemente grande, é provado que qualquer solução ground state não é radialmente simétrica. Por fim, é apresentado um resultado sobre a existência de múltiplas soluções positivas / This work presents a quantitative and qualitative study of positive solutions for the Dirichlet problem for the Hénon equation (P) (P) { - \'DELTA\'u = \'Ix! POT. \' alpha\'\' \'IuI POT. p-2\' in B, u = 0 on \\partial B, where B is the unit open ball in \'R POT. N\' centered at zero and \'alpha\' \'> OR =\' 0. It is shown that for p \' > OR =\' \'2 AST\' \'IND. alpha\' = \'SUP. 2 (N + alpha)\' INF. N - 2, N > 2, \' INFINITY\'; N = 1, 2, \'2 AST\' = { \'SUP. .2N INF. N - 2 ; N > 2; 1; \' INFINITY\', N = 1, 2; the problem does not have nontrivial solution. In counterpart, for 1 < p < \' 2 AST\' \'IND. alpha\' with p \' DIFFERENT\' 2, the existence of radial positive solutions will be guaranteed. Moreover, the uniqueness of positive solution is guaranteed as long as 1 < p < 2. In addition, results on the existence of ground state solutions are presented in case 2 < p < \'2 AST\'. In this interval, it is proved that any ground state solution exhibits the Foliated Schwarz symmetry and, in case \'alpha\' is sufficiently large, it is shown that the no ground state solution is radially symmetric. This works ends with a result on the existence of multiple positive solutions

This study analyses visible artefacts depicted on Athenian white-ground funerary lekythoi from between 475 to 425 BCE, to investigate what the iconographic information of the artefacts can tell us about the funerary activity and how the information relates to the written sources from antiquity. The purpose of this study is to gain a more in-depth view of the Athenian funerary activities, of which we currently have limited knowledge of. The activates surrounding an Athenian funeral is a complex matter consisting of several stages of preparation and visits to the grave. However, when we are looking at the funerary images, it is difficult to determine what stage of the burial culture we are observing, which is what this study sets out to answer. The study uses a theoretical framework in viewing the vase images as a “scene of an idea” rather than a “scene from reality” where expressions of ideas and notion are what is on display on the white-ground lekythos. The study has analysed the visible artefacts from 252 Athenian white-ground lekythoi and thematically grouped them, then with an iconographical method analysed the meaning and representation of the visible artefacts and how they relate to the written sources.  The study has resulted three main conclusions. Firstly, a possible identification of a funerary activity when observing the number and detailed work of the artefacts illustrated by the painter. Secondly, the importance of maintaining a good relationship between the living and the dead. Thirdly, the contemporary events involving the Athenian administrative changes implanted by Solon and how it could have affected the way the Athenians illustrated their funerary scenes.

My thesis work will be in theoretical part about explanation of basic terms, that are commonly used in valuation of real estates like agricultural enterprises. Individual ways of valuation are applied in practical part.

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In the last two decades, two major earthquakes have occurred in Japan: the 1995 Kobe earthquake and the 2011 Great East Japan earthquake. In the 2011 Great East Japan earthquake, many bridge structures were destroyed by the tsunamis, but it is interesting to study the ground motion induced damage and also how this earthquake differed from the one in 1995. In this thesis, the seismic response of a bridge designed according to the current Japanese Design Specifications was evaluated when it is subjected to near-field ground motions recorded during the 1995 Kobe earthquake and far-field ground motions recorded during the 2011 Great East Japan earthquake. For this purpose, a series of nonlinear dynamic response analysis was conducted and the seismic performance of the bridge was verified in terms of its displacement and ductility demand. It was found from the dynamic response analysis that the seismic response of the target bridge when subjected to the ground motions from the 2011 Great East Japan earthquake was smaller than during the 1995 Kobe earthquake. Although the ground motions from the 2011 Great East Japan earthquake were very strong, they were not as strong as the ground motions from the 1995 Kobe earthquake. The results obtained in this thesis clarify the validity of the Type I and Type II design ground motions. The target bridge used in this thesis was designed according to the post-1990 design specifications and showed limited nonlinear response when subjected to the different ground motions which shows how efficient the enhancement of the seismic performance of bridges has been since the 1990’s.

Understanding the connection of surface waters to ground-water systems is important when evaluating potential water resources. In the past surface waters and ground-water have been viewed as two different sources of water but more commonly now they are viewed as one connected resource (Winter et al, 1998). The nature of connection between surface and ground-waters varies depending on climatic and geologic settings, as well as anthropogenic influences such as ground-water pumping and manipulation of river flows by dams. This thesis takes advantage of daily stage changes in the Deerfield River to investigate surface water interactions with ground-water in Charlemont, MA. Two dimensional transient numerical models are constructed to simulate ground-water response to river stage changes. These models are coupled to hypothetical mass transport models to investigate mixing mechanisms of conservative solutes under varying hydraulic scenarios. These simulations support the hypothesis that daily stage fluctuations cause a pumping mechanism which drives solutes into ground-water systems adjacent to a river at rates higher then normal flow conditions, or even under certain flood conditions. Riverbed pore-water temperature responses to diurnal temperature fluctuations are measured at two sites along the Deerfield River exposed to the same daily stage changes caused by dams. Temperature and stage data are collected at two sites with differing geologic settings. These data are used to calibrate simple two dimensional models of ground-water flow and heat transport to site specific riverbed hydraulic conductivities. It is suggested that due to the differing depositional environments of the two field sites, hydraulic conductivity of riverbed materials differ, which affects the exchange flux between surface water and ground-water. Understanding the exchange between surface and ground waters under varying hydraulic and geologic conditions is vital to characterizing local water resources and determining ecosystems health.

Joel Mondo Kisekini, for the Master of Science degree in Civil Engineering, presented on March 25, 2022, at Southern Illinois University Carbondale.TITLE: EFFECT OF SIMULTANEOUS APPLICATION OF THE TWO HORIZONTAL ORTHOGONAL GROUND MOTION COMPONENTS ON THE SEISMIC BEHAVIOR OF BUILDINGSMAJOR PROFESSOR: Dr. JALE TEZCAN During an earthquake, buildings are simultaneously excited by two horizontal and one vertical ground motion components. Modern seismic codes and guidelines such as ASCE/SEI 41-06 (Seismic rehabilitation of existing buildings, American Society of Civil Engineers), EUROCODE 8 (1998-1) (Design provisions for earthquake resistance of structures, European Committee for Standardization, 2003), FEMA 356 (Prestandard and Commentary for Seismic Rehabilitation of the Buildings) and FEMA P-2082 (NEHRP Recommended Seismic Provisions for new buildings and other structures) require the consideration of the effects of two horizontal orthogonal ground motions in seismic design of buildings. Therefore, the main objective of this study is to evaluate the simultaneous effect of two horizontal orthogonal ground motion components to seismic behavior of buildings. A four-story steel frame is modeled, and it is subjected to a set of twenty ground motion pairs recorded distances between x and y kilometer from epicenter. Three methods for combining peak response to individual component of ground motions is used to estimate the displacement responses. The combination rules used in this present study are 30%, SRSS, and 20%. The response of the four-story steel frame is investigated within the context of linear response history analysis and the results are compared to the peak responses obtained from time history analyses under bidirectional and unidirectional ground motion. The structural response includes the following parameters: nodal displacements and the critical angle of excitation. The output results showed that the maximum response under two components was, on average, 23 % more than the maximum response under a single component, and the two horizontal orthogonal seismic excitations increased the structure displacement response compared to unidirectional excitation.

This thesis presents an experimental investigation of drag reduction devices on a bluff body in ground effect. It has previously been shown that the addition of end-plate tabs to a rectangular based bluff body with an aspect ratio of 4 is effective in eliminating vortex shedding and reducing drag for low Reynolds number flows. In the present study a square based bluff body, both with and without tabs, will be tested under the same conditions, except this time operating within proximity to a ground plane in order to mimic the properties of bounded aerodynamics that would be present for a body in ground effect.

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