Matching Items (249)
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
The goal of this project was to design and create a genetic construct that would allow for <br/>tumor growth to be induced in the center of the wing imaginal disc of Drosophila larvae, the <br/>R85E08 domain, using a heat shock. The resulting transgene would be combined with other <br/>transgenes in a single fly that would allow for simultaneous expression of the oncogene and, in <br/>the surrounding cells, other genes of interest. This system would help establish Drosophila as a <br/>more versatile and reliable model organism for cancer research. Furthermore, pilot studies were <br/>performed, using elements of the final proposed system, to determine if tumor growth is possible <br/>in the center of the disc, which oncogene produces the best results, and if oncogene expression <br/>induced later in development causes tumor growth. Three different candidate genes were <br/>investigated: RasV12, PvrACT, and Avli.
ContributorsSt Peter, John Daniel (Author) / Harris, Rob (Thesis director) / Varsani, Arvind (Committee member) / School of Molecular Sciences (Contributor) / Department of Psychology (Contributor) / Barrett, The Honors College (Contributor)
Created2021-05
Description
Zoos are doing amazing projects to help wildlife globally and locally. A lot of people aren't aware of what goes on with these conservation projects because much of it happens behind the scenes. So I decided to make a film to explain how zoos facilitate our world's wildlife. My film can be viewed at this link: https://www.youtube.com/watch?v=_JmLGf138zY
ContributorsRossman, Chloe June (Author) / Sandler, Kevin (Thesis director) / Wells, Stuart (Committee member) / Barrett, The Honors College (Contributor) / School of Life Sciences (Contributor) / School of Film, Dance and Theatre (Contributor)
Created2014-05
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
It is possible in a properly controlled environment, such as industrial metrology, to make significant headway into the non-industrial constraints on image-based position measurement using the techniques of image registration and achieve repeatable feature measurements on the order of 0.3% of a pixel, or about an order of magnitude improvement on conventional real-world performance. These measurements are then used as inputs for a model optimal, model agnostic, smoothing for calibration of a laser scribe and online tracking of velocimeter using video input. Using appropriate smooth interpolation to increase effective sample density can reduce uncertainty and improve estimates. Use of the proper negative offset of the template function has the result of creating a convolution with higher local curvature than either template of target function which allows improved center-finding. Using the Akaike Information Criterion with a smoothing spline function it is possible to perform a model-optimal smooth on scalar measurements without knowing the underlying model and to determine the function describing the uncertainty in that optimal smooth. An example of empiric derivation of the parameters for a rudimentary Kalman Filter from this is then provided, and tested. Using the techniques of Exploratory Data Analysis and the "Formulize" genetic algorithm tool to convert the spline models into more accessible analytic forms resulted in stable, properly generalized, KF with performance and simplicity that exceeds "textbook" implementations thereof. Validation of the measurement includes that, in analytic case, it led to arbitrary precision in measurement of feature; in reasonable test case using the methods proposed, a reasonable and consistent maximum error of around 0.3% the length of a pixel was achieved and in practice using pixels that were 700nm in size feature position was located to within ± 2 nm. Robust applicability is demonstrated by the measurement of indicator position for a King model 2-32-G-042 rotameter.
ContributorsMunroe, Michael R (Author) / Phelan, Patrick (Thesis advisor) / Kostelich, Eric (Committee member) / Mahalov, Alex (Committee member) / Arizona State University (Publisher)
Created2012
DescriptionA self-help guide for the independent animator. Answers the question, "What do I do when I finish a film?" Includes information on how to successfully market a film as well as different avenues of distribution. Discusses both shorts and features.
ContributorsHoma, Christopher Andres Burruel (Author) / Pinholster, Jacob (Thesis director) / Bernstein, Gregory (Committee member) / Barrett, The Honors College (Contributor) / School of Life Sciences (Contributor) / School of Film, Dance and Theatre (Contributor) / School of Art (Contributor)
Created2015-05
Description
The globalization of dance offers a unique situation to encourage peace. The kinesthetic experience associated with dance builds communities and unites people without needing to share the same language or be in the same location on the planet. Dance is a vehicle to understand other cultures but how can people be given the keys? As the 2014 Circumnavigator Travel Study Grant recipient for Arizona State University (ASU), I traveled to six countries in three continents over seventy-two days conducting ethnochoreology (dance ethnography) research. Upon returning I had a passion to share my experience through dance. Therefore I organized a charity dance concert. To share my kinesthetic education from my trip I taught six high schools each a dance from the countries I visited. An additional high school, elementary school and ASU students joined the concert. The performers and audience members gained new understanding, curiosity and appreciation. The proceeds of the concert have started a new scholarship for ASU students pursuing dance or studying abroad. This journey has come full circle just like the Circumnavigator trip which began this project. Knowledge of other dances from around the world invites participants to see into the heart of the culture, creating empathy. Therefore dance can ignite peace.
ContributorsCoury, Melia Ann (Author) / Vissicaro, Pegge (Thesis director) / Ostrom, Amy (Committee member) / Barrett, The Honors College (Contributor) / Herberger Institute for Design and the Arts (Contributor) / Department of Marketing (Contributor) / W. P. Carey School of Business (Contributor) / School of Film, Dance and Theatre (Contributor)
Created2015-05
Description
I am double majoring in Film & Media Production and Geography, and whenever I tell anyone that their first reaction is one of polite incredulity. The two disciplines seem so far from each other that there doesn't seem to be any possible way of combining them. With this project, I wanted to incorporate these two very different fields into one meaningful product. Using film as a medium, I explored how impactful a geographical location can truly be on someone. When we think about our pasts, we often focus on the people and events, losing sight of the physical location where these memories take place. Life in a Museum attempts to shine a light on this forgotten aspect of memory. I moved to Prescott, Arizona when I was 11 and moved away when I was 18, living there for only 7 years. Yet as time passes, I am starting to realize how impactful Prescott has been on me. For my Honors Creative Project, I created a video essay in an attempt to "map" my relationship with Prescott and how it has changed over time. Incorporating digital video, Google SketchUp Animations and historical photographs, Life in a Museum acts as collage that attempts to mimic the tangential aspects of memory. The film addresses my upbringing in Prescott, the town's intense pride for its history, and how living there has affected my own perception of time, memory, death and the future. Link to video: https://vimeo.com/126633587
ContributorsJones, Zachary Loren (Author) / Larson, Elizabeth (Thesis director) / Kitson, Jennifer (Committee member) / Barrett, The Honors College (Contributor) / School of Geographical Sciences and Urban Planning (Contributor) / School of Film, Dance and Theatre (Contributor)
Created2015-05
Description
A longing to revisit the people, places, and moments of my past has followed me for years, sometimes affecting me to the extent that the past seems to intrude on my present. In this piece, I wish to turn a critical eye on these feelings of nostalgia and examine how strong emotion can emerge from nothing more than fractured, faded memories. Using footage of moments I had recorded over six months of living in Europe, I seek to sculpt these images from my past into a form that rejects the daze of nostalgia for the fragmented truth of memory. My background is in more traditional narrative filmmaking, and so I was excited to work in this experimental three-screen format, in which I could explore the concept of memory in a manner that felt truer to how I actually experience it. I tested various combinations of imagery in my videos to build the progression of the piece, which I hoped would play out in an associational style that mimicked the process of my own memory. I hope that this will cause people to walk away from the piece thinking about how memory can fuel emotion and even to investigate their own relationship to the past.
ContributorsPowell, Matthew Rhys (Author) / Bradley, Christopher (Thesis director) / Brye, Anne (Committee member) / Barrett, The Honors College (Contributor) / School of International Letters and Cultures (Contributor) / School of Film, Dance and Theatre (Contributor)
Created2015-05
Description
Beautiful Accidents is a debut drama-comedy feature screenplay written as a thesis project. For a screenwriter trying to bloom in the Film Industry, the big question is "where is your great feature script?" and "how many do you have?" The pressure is all about the quality of the work and how many feature screenplays are written. Thus, this draft has been in pre-production and conception for a year and a half now. The draft presented as the thesis project is the third draft of a total of three versions of the script. The first and second drafts are drastically different from this third draft in content and character development. After having the opportunity to attend the Cannes Film Festival, the inspiration for another new and improved third draft came to be. It runs 93 pages, and goes beyond presenting an example debut feature screenplay. Throughout the process of writing a feature screenplay, learning to write several drafts to reach a polished draft is a crucial part of the journey as a writer. This was not only a project that included writing a feature film screenplay, but it also contained valuable lessons about the growth of an inspiring writer in regards to being willing to go through several drafts. In addition to the third draft of the script, a teaser opening of the first scene was produced, directed, and starred in as another segment of the thesis project. Run Time: 2:51. The goal for this teaser opening is to serve as a visual sample along with the screenplay. When the time comes to search for investors and producers for the script, this teaser will accompany the material. The script is intentionally written to be a low budget film, so that production could take place independently and locally for a tight budget. The ultimate goal is to produce this film as either an independent film or a semi-independent as writer/director of the project. Synopsis: A quirky romantic comedy about two individuals, Meg and Dave, who believe they are narcissists explore their own perceived narcissism in one another. Meg is a budding music genius who is stuck at Law school, while Dave is a bartender and pool shark. At the ripe age of 22, Meg finds herself for the first time in her life, deeply fascinated in one other person other than herself: Dave, who happens to also be ten years older than her. Her first meeting with Dave is purely an accident, as their continued journey appears to have plenty of them. These accidents prove to be, however, beautiful.
ContributorsKheshtchin-Kamel, Amena (Author) / Montesano, Mark (Thesis director) / Bernstein, Gregory (Committee member) / Barrett, The Honors College (Contributor) / School of Film, Dance and Theatre (Contributor)
Created2015-05