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Description
Nonlinear dispersive equations model nonlinear waves in a wide range of physical and mathematics contexts. They reinforce or dissipate effects of linear dispersion and nonlinear interactions, and thus, may be of a focusing or defocusing nature. The nonlinear Schrödinger equation or NLS is an example of such equations. It appears as a model in hydrodynamics, nonlinear optics, quantum condensates, heat pulses in solids and various other nonlinear instability phenomena. In mathematics, one of the interests is to look at the wave interaction: waves propagation with different speeds and/or different directions produces either small perturbations comparable with linear behavior, or creates solitary waves, or even leads to singular solutions. This dissertation studies the global behavior of finite energy solutions to the $d$-dimensional focusing NLS equation, $i partial _t u+Delta u+ |u|^{p-1}u=0, $ with initial data $u_0in H^1,; x in Rn$; the nonlinearity power $p$ and the dimension $d$ are chosen so that the scaling index $s=frac{d}{2}-frac{2}{p-1}$ is between 0 and 1, thus, the NLS is mass-supercritical $(s>0)$ and energy-subcritical $(s<1).$ For solutions with $ME[u_0]<1$ ($ME[u_0]$ stands for an invariant and conserved quantity in terms of the mass and energy of $u_0$), a sharp threshold for scattering and blowup is given. Namely, if the renormalized gradient $g_u$ of a solution $u$ to NLS is initially less than 1, i.e., $g_u(0)<1,$ then the solution exists globally in time and scatters in $H^1$ (approaches some linear Schr"odinger evolution as $ttopminfty$); if the renormalized gradient $g_u(0)>1,$ then the solution exhibits a blowup behavior, that is, either a finite time blowup occurs, or there is a divergence of $H^1$ norm in infinite time. This work generalizes the results for the 3d cubic NLS obtained in a series of papers by Holmer-Roudenko and Duyckaerts-Holmer-Roudenko with the key ingredients, the concentration compactness and localized variance, developed in the context of the energy-critical NLS and Nonlinear Wave equations by Kenig and Merle. One of the difficulties is fractional powers of nonlinearities which are overcome by considering Besov-Strichartz estimates and various fractional differentiation rules.
ContributorsGuevara, Cristi Darley (Author) / Roudenko, Svetlana (Thesis advisor) / Castillo_Chavez, Carlos (Committee member) / Jones, Donald (Committee member) / Mahalov, Alex (Committee member) / Suslov, Sergei (Committee member) / Arizona State University (Publisher)
Created2011
Description
Fish farming is a fast growing industry, which, although necessary to feed an ever growing worldwide population, has its share of negative environmental consequences, including the release of drugs and other waste into the ocean, the use of fish caught from the ocean to feed farm raised fish, and the escape of farm raised fish into natural bodies of water. However, the raising of certain types of fish, such as tilapia, seems to be an environmentally better proposition than raising other types of fish, such as salmon. This paper will explore the problems associated with fish farming, as well as offer a model, based on the literature, and interviews with fish farmers, to make small-scale fish farming both more environmentally, and more economically, sustainable. This paper culminates with a model for small-scale, specifically semi-subsistence, fish farmers. This model emphasizes education of the fish farmers, as well as educators learning from the fish farmers they interact with. The goal of this model is to help these fish farmers become both more environmentally and economically sustainable.
ContributorsLongoni, Robert A (Author) / Parmentier, Mary Jane (Thesis advisor) / Grossman, Gary (Committee member) / Macia, Narciso (Committee member) / Arizona State University (Publisher)
Created2011
Description
Meteorology is an uncommon term rarely resonating through elementary classrooms. However, it is a concept found in both fourth and sixth grade Arizona science standards. As issues involving the environment are becoming more pertinent, it is important to study and understand atmospheric processes along with fulfilling the standards for each grade level. This thesis project teaches the practical skills of weather map reading and weather forecasting through the creation and execution of an after school lesson with the aide of seven teen assistants.
ContributorsChoulet, Shayna (Author) / Walters, Debra (Thesis director) / Oliver, Jill (Committee member) / Balling, Robert (Committee member) / Barrett, The Honors College (Contributor) / College of Liberal Arts and Sciences (Contributor)
Created2012-12
Description
Plants are essential to human life. They release oxygen into the atmosphere for us to breathe. They also provide shelter, medicine, clothing, tools, and food. For many people, the food that is on their tables and in their supermarkets isn't given much thought. Where did it come from? What part of the plant is it? How does it relate to others in the plant kingdom? How do other cultures use this plant? The most many of us know about them is that they are at the supermarket when we need them for dinner (Nabhan, 2009) (Vileisis, 2008).
ContributorsBarron, Kara (Author) / Landrum, Leslie (Thesis director) / Swanson, Tod (Committee member) / Pigg, Kathleen (Committee member) / Barrett, The Honors College (Contributor) / College of Liberal Arts and Sciences (Contributor)
Created2012-12
DescriptionBased on previous research and findings it is proven that a non-profit class to create awareness will be beneficial in the prevention of eating disorders. This analysis will provide significant research to defend the proposed class.
ContributorsAllen, Brittany (Author) / Chung, Deborah (Author) / Fey, Richard (Thesis director) / Peck, Sidnee (Committee member) / Mazurkiewicz, Milena (Committee member) / Barrett, The Honors College (Contributor) / W. P. Carey School of Business (Contributor) / College of Liberal Arts and Sciences (Contributor)
Created2012-12
Description
Restraint stress is the most commonly used laboratory stressor. It is difficult to characterize as psychological or physical, because past studies show psychological features, but the nature of confinement adds a physical dimension. This was the first study to investigate how experience with restraint stress affects brain response to the next stress without a physical burden. Pair-housed adult male rats were transported to a novel context and restrained or left undisturbed (6hr). The next day, rats were returned to the same context and were either restrained or left undisturbed in the context (n=8/group). After 90min, rats were euthanized to determine functional activation in limbic structures using Fos immunohistochemistry and to measure HPA axis reactivity through blood serum corticosterone levels. Regardless of day 1 experience, context exposure on day 2 enhanced Fos expression in CA1 and CA3 of the hippocampus, basolateral amygdala, and central amygdala. Conversely, other regions and corticosterone levels demonstrated modulation from the previous day's experience. Specifically, rats that were placed back into the restraint context but not restrained on day 2 showed enhanced Fos expression in the dentate gyrus suprapyramidal blade (DGSup), and infralimbic cortex (IL). Also Fos expression was attenuated in rats that received two restraint exposures in the IL and medial amygdala (MEA), suggesting habituation. Only the DG infrapyramidal blade (DGInf) showed enhanced Fos expression to restraint on day 2 without influence of the previous day. While context predominately directed Fos activation, prior experience with restraint influenced Fos expression in the DGSup, IL, MEA and corticosterone levels to support restraint having psychological components.
ContributorsAnouti, P. Danya (Author) / Conrad, D. Cheryl (Thesis director) / Hammer, Ronald (Committee member) / Hoffman, N. Ann (Committee member) / Barrett, The Honors College (Contributor) / College of Liberal Arts and Sciences (Contributor)
Created2012-12
Description
This thesis outlines the development of a vector retrieval technique, based on data assimilation, for a coherent Doppler LIDAR (Light Detection and Ranging). A detailed analysis of the Optimal Interpolation (OI) technique for vector retrieval is presented. Through several modifications to the OI technique, it is shown that the modified technique results in significant improvement in velocity retrieval accuracy. These modifications include changes to innovation covariance portioning, covariance binning, and analysis increment calculation. It is observed that the modified technique is able to make retrievals with better accuracy, preserves local information better, and compares well with tower measurements. In order to study the error of representativeness and vector retrieval error, a lidar simulator was constructed. Using the lidar simulator a thorough sensitivity analysis of the lidar measurement process and vector retrieval is carried out. The error of representativeness as a function of scales of motion and sensitivity of vector retrieval to look angle is quantified. Using the modified OI technique, study of nocturnal flow in Owens' Valley, CA was carried out to identify and understand uncharacteristic events on the night of March 27th 2006. Observations from 1030 UTC to 1230 UTC (0230 hr local time to 0430 hr local time) on March 27 2006 are presented. Lidar observations show complex and uncharacteristic flows such as sudden bursts of westerly cross-valley wind mixing with the dominant up-valley wind. Model results from Coupled Ocean/Atmosphere Mesoscale Prediction System (COAMPS®) and other in-situ instrumentations are used to corroborate and complement these observations. The modified OI technique is used to identify uncharacteristic and extreme flow events at a wind development site. Estimates of turbulence and shear from this technique are compared to tower measurements. A formulation for equivalent wind speed in the presence of variations in wind speed and direction, combined with shear is developed and used to determine wind energy content in presence of turbulence.
ContributorsChoukulkar, Aditya (Author) / Calhoun, Ronald (Thesis advisor) / Mahalov, Alex (Committee member) / Kostelich, Eric (Committee member) / Huang, Huei-Ping (Committee member) / Phelan, Patrick (Committee member) / Arizona State University (Publisher)
Created2013
Description
The purpose of this study is to examine if there exists a discrepancy between popular Westernized notions about the role of social media and the notions of those affected by the Green Revolution in Iran in 2009 and assess how this might change the dominant discourse of cyber-utopia. The internet has most certainly transformed our lives in unforeseeable ways having various and unknown shifting effects but the purpose of this research is to view the dominant discourse of liberation in comparison with the perceived meaning and function of the internet and social media within anti-democratic regimes. The awareness of global misconceptions are imperative to move away from the popular norm and scope of research that uses framing tactics of liberation and democratization because the development, adoption and political consequences of any technological tool within any society will always tell a story. The net effect of social media was silenced soon after the Green Revolution and many Iranians are still experiencing the consequences of their actions. The dark side of internet freedom in authoritative governments will assuredly play a role in forming a more comprehensive understanding of the revolutionary narrative that is social media as well as contributing to the overall relationship of how the internet influences the political realm. Iran represents a unique situation to analyze due to its politically closed landscape and historical global misperception about Iranian society and its citizenry. Through the utilization of personal narratives of individual Iranians directly or indirectly involved within the movement and an overview of global trends of suppression of online speech, this research attempts to show that no i universal framework exists when it comes to the discourse about social media because the characteristics of a society will ultimately drive the forces that influence technological manifestation.
ContributorsRassti, Afsanieh (Author) / Parmentier, Mary Jane (Thesis advisor) / Lim, Merlyna (Committee member) / Behinfar, Renee C (Committee member) / Arizona State University (Publisher)
Created2012
Description
This study focuses on three major Maghreb states (Algeria, Morocco and Tunisia) with distinct institutional, political and socioeconomic patterns. It essentially tackles the issue of technological development particularly investments, trade, human capital and patents in a socially and politically sensitive environment. The researcher assumes that government stability, law and order, GDP growth and ICT usage are related to technological innovation in the Maghreb. The stated hypotheses indicate that these political, institutional and socioeconomic factors have significant effect on technological innovation in the Maghreb. Based on a two equations' empirical model, our researcher attempts to test these effects and explore the interactions between the different dependent and independent variables through a set of hypotheses. Data analysis covers three countries from 1996 to 2010. The study identifies significant effects of key covariates on technological innovation in the Maghreb. Although not every predictor effect is consistent, the results indicate that they matter for technological innovation in the Maghreb. Empirical findings might constitute essential evidence for technology and innovation policies in this Middle East and North African region.
ContributorsOubaiden, Mohamed (Author) / Grossman, Gary (Thesis advisor) / Waissi, Gary (Committee member) / Parmentier, Mary Jane (Committee member) / Arizona State University (Publisher)
Created2012
Description
This social media network (SMN) study regarding youth of Saudi Arabia, focused on the effect of the SMN on youth with their families and their traditions. The significance of this study is to have an understanding of the effect of the SMN on the youths' families. Furthermore, recommendations were given from the perspective of the youth to help improve Saudi Arabian society using SMN. A total of 617 students from University of Dammam, ages from 18-24, have participated in the survey. The results of the survey showed that the effect of the SMN on the youth and their relations with their families are resilient in some aspects. However, the outcome of involvement with the SMN is obvious on other aspects as well, such as the gained ability of self-decision making and the ability to accept opposing opinions. Moreover, the research findings specific to women indicate that they are more active in the SMNs. The results also demonstrate women gained knowledge of their rights and gained freedom of speech. Finally, the findings led to a conclusion that there is potential social change in the Saudi Arabian society, even though the family structure is not changing significantly.
ContributorsAlsharkh, Yousef Naser (Author) / Parmentier, Mary Jane (Thesis advisor) / Grossman, Gary (Committee member) / Lim, Merlyna (Committee member) / Arizona State University (Publisher)
Created2012