Digital Commons Network^™

Weak Solutions Of The Navier-Stokes Equation And Their Euler Limits, James Glimm

Department of Applied Mathematics & Statistics Faculty Publications

The existence of a weak solution of the incompressible isothermal Navier-Stokes equation with given initial conditions in the Sobolev space $\mathcal{H}_{-2}$ for energy fluctuations and in $\mathcal{H}_{-3}$ for enstrophy fluctuations is assumed. The existence is uniform with respect to the Euler limit of zero viscosity $\nu$. Thus, existence of weak solutions of the Euler equation with given initial conditions is established, and these Euler solutions are the zero viscosity limit of Navier-Stokes solutions, provided the Navier-Stokes solutions exist.

Mathematicly Rigorous Quantum General Relativity, I: Pure, James Glimm

Department of Applied Mathematics & Statistics Faculty Publications

A pure quantum general relativity field is one lacking in matter. Such a field has a Lorentzian space-time geometry. A renormalized perturbation expansion, truncated to all finite orders, establishes  the existence of pure quantum general relativity with full mathematical rigor

The Pure Yang-Mills Field. I: Eistence, James Glimm

Department of Applied Mathematics & Statistics Faculty Publications

Two pure Yang-Mills quantum gauge field theories are constructed, one based on short distance asymptotics and the other based on long distance asymptotics.

The construction is based on the axial gauge, ghost states, the BRST framework and Gribov extension of the Hamiltonian, with a loop expansion cutoff to all finite orders for the dynamics.

The construction is established by renormalized perturbation theory to all finite orders.

The construction depends on an assumed principle of a maximum rate of entropy production

Scaling Laws, James Glimm

Department of Applied Mathematics & Statistics Faculty Publications

Scaling laws, accurate to all orders and for intermediate times, are constructed for Navier-Stokes and Euler fluids and for quantum Yang-Mills fields. A maximum entropy principle is assumed. A finite periodic spatial volume is assumed.

Conventional renormalization group scaling is accurate to all orders in a large time asymptotic limit, but it fails at intermediate times at less than leading order due to blowups and a possible resetting of the gauge group.

The extension to quantum general relativity is indicated.

The Pure Yang-Mills Field: Repeated Blowups, James Glimm, James G. Glimm

Department of Applied Mathematics & Statistics Faculty Publications

The temporal scaling of the quantum Yang-Mills solution is characterized by analytic solutions for a limited time interval, each ended by a discontinuity (blowup).

For general initial conditions, there will be a series of blowups and a possible resetting of the gauge group..

The principle of a maximum rate of entropy production is assumed. A finite periodic spatial volume is assumed.

The Boson Yang-Mills Field: The Loop Expansion, James Glimm

Department of Applied Mathematics & Statistics Faculty Publications

This paper demonstrates convergence of the loop expansion for Yang-Mills fields.

The loop construction of perturbation theory is based on the axial gauge, ghost states, the BRST framework and the Gribov extension of the Hamiltonian, with the loop expansion perturbatively renormalizable.

The construction is established by renormalized perturbation theory convergent to all finite orders.

Two distinct Yang-Mills theories are constructed, one based on short distance asymptotics and the other based on long distance asymptotics.

The construction depends on an assumed principle of a maximum rate of entropy production.

The paper has sufficient generality to include existence for all cases that …

The Pure Yang-Mills Field: Axioms And The Mass Gap, James Glimm

Department of Applied Mathematics & Statistics Faculty Publications

The infinite volume limit is constructed based on previously constructed finite volume pure Yang-Mills quantum gauge field theories. For this limit theory, Osterwalder-Schrader axioms are verified and the existence of a mass gap in the energy spectrum is proven.

Requirements for the Millennium Yang-Mills prize are fulfilled.

Prevention Beyond Deterrence, Benjamin A. Barsky

Faculty Scholarship

This Article reconceptualizes preventive justice—the public safety paradigm that seeks to prevent harm before it occurs. Scholars have long documented how cities have advanced this paradigm through largely punitive measures, notably variants of broken windows policing, which posit that aggressive misdemeanor enforcement deters more serious crime. Yet in the aftermath of the 2020 George Floyd protests, and as underscored recently in City of Grants Pass v. Johnson, these measures have faced a legitimacy crisis—prompting calls for nonpunitive responses to nonviolent incidents.

This Article establishes a preventive justice approach that advances health and safety without emphasizing crime deterrence. It draws on …

An Empirical Framework For Evaluating Semantic Preservation Using Hugging Face, Nan Jia, Anita Raja, Raffi Khatchadourian

Publications and Research

As machine learning (ML) becomes an integral part of high-autonomy systems, it is critical to ensure the trustworthiness of learning-enabled software systems (LESS). Yet, the nondeterministic and run-time-defined semantics of ML complicate traditional software refactoring. We define semantic preservation in LESS as the property that optimizations of intelligent components do not alter the system's overall functional behavior. This paper introduces an empirical framework to evaluate semantic preservation in LESS by mining model evolution data from HuggingFace. We extract commit histories, $\textit{Model Cards}$, and performance metrics from a large number of models. To establish baselines, we conducted case studies in three …

Color-Blind Resilience: How Uniform Climate Standards Reproduce Environmental Inequality In The Rockaways, Aaryan M. Nair

Publications and Research

This paper examines how ostensibly uniform climate resilience standards can reproduce environmental inequality in socially uneven landscapes, using the Rockaway Peninsula in New York City as a critical case study. While flood-resistant building codes, zoning regulations, and insurance frameworks are designed to provide equal protection across flood-prone areas, this analysis argues that their “color-blind” application obscures and intensifies underlying disparities in financial capacity, housing conditions, and tenure. Drawing on environmental justice (EJ) theory, the paper identifies two key mechanisms through which inequality is reproduced. First, “code without capacity” demonstrates how uniform technical standards—such as elevation requirements under NYC Building Code …

Resilience For Whom? A Study In Pathways And Production Of Unequal Risk In The Rockaways, Aaryan M. Nair

Publications and Research

This paper investigates how climate adaptation policies in the Rockaway Peninsula of New York City produce unequal outcomes despite their ostensibly neutral design, framing resilience as an environmental and climate justice problem. Situated within a landscape marked by stark socioeconomic disparities, aging housing stock, and high exposure to coastal flooding, the study demonstrates that existing adaptation strategies—centered on uniform technical standards, insurance frameworks, and large-scale coastal infrastructure—systematically advantage actors with greater financial and institutional capacity while leaving low-income residents, particularly renters, disproportionately vulnerable.

The analysis identifies three core dynamics underlying this “unequal-by-design” resilience regime: (1) the stratified feasibility of compliance …

Case Series Of Nizon-Isidor Syndrome By Heterozygous Variants In Med12l With Further Evidence Of Mitotic Instability In One Case With Diploid-Triploid Mosaicism, Russell Stewart, Kimberly M Ezell, Deanna S Bell, Brian Corner, Ashley Mcminn, Joy D Cogan, Rizwan Hamid, Lynette Rives, John A Phillips, Nina Paddu, Gitanjali Srivastava, Ronit Marom, Farah A Ladha, Claudia Soler-Alfonso, Rachel Franciskovich, Mary Koziura, Sumit Pruthi, Gabriele Richard, Christina B Sheedy, Undiagnosed Diseases Network, Thomas Cassini

Faculty, Staff and Students Publications

Nizon-Isidor syndrome is a rare disorder caused by heterozygous variants in MED12L, with only eight documented cases in the literature. Here, we present three additional cases of this syndrome. Proband 1 was a 7-year-old female who presented with developmental delay, right-leg hemihypertrophy, laryngeal cleft, esotropia, abnormal skin pigmentation, sectoral iris hypopigmentation, dysphagia, periventricular nodular heterotopia, seizures, morbid obesity, and a pelvic kidney. Genome sequencing (GS) revealed a MED12L variant, NM_053002.5:c.3559+2T>G. Both computational models and transcriptomic analysis confirmed that this variant induced splice loss of MED12L exon 25. Probands 2 and 3 presented with overlapping phenotypes of developmental delay; sequencing …

Highly Variable Expressivity Of A Cnv Deletion Involving Tbx4 In Three Deceased Siblings With Lung Developmental Disorder And Their Mildly Affected Mother And Grandfather, Przemyslaw Szafranski, Tomasz Gambin, Michal Kadlof, Michał Denkiewicz, Dariusz Plewczynski, Hyun Jeong Kim, Gail Deutsch, Nahir Cortes-Santiago, Salmo Raskin, Paweł Stankiewicz

Faculty, Staff and Students Publications

Single nucleotide variants (SNVs) and copy-number variant (CNV) deletions involving TBX4 have been associated with pulmonary arterial hypertension, ischiocoxopodopatellar syndrome, and lethal lung developmental disorders (LLDDs). Thus far, all large CNV deletions encompassing entire TBX4 have been found to have arisen de novo. Here, we present a three-generation family with three neonate siblings who died within 35-66 days due to histopathologically diagnosed LLDD. Whole-genome sequencing identified an ~108-kb CNV deletion encompassing TBX4 in all three infants. The deletion was also found in their mother with a history of pneumonia and persistent thick upper airway secretions and in the maternal grandfather …

"Just Let Your Soul Glo": Humorous Music In Black American Comedy Films, Drew Brady

Music Theses and Dissertations

In this thesis, I inspect ways in which music has been used to create humor and meaning in black American cinema. In doing so, I address gaps in film music scholarship, as music in comedy films and in black cinema are both neglected topics. I suggest that humor in these films arises out of a particular blend of musical irony, parody, and satire, the exact combination of which is contingent on various historical, cultural, and political factors. In order to track this trend, I analyze humorous music in eight films, each representing a unique manifestation of this tradition: Watermelon Man …

Till Death Does Us Part: An Analysis Of Influences And Ideas Behind The Exhibition, Milo F. Rippe

Honors College Theses

“Till Death Does Us Part,” is a ceramic work created by Milo Rippe in the fall of 2025. The installation includes fifteen faceless figures, ten organ-inspired plates, and one big central figure. Also featured are three homemade stains and two homemade glazes. The figures are hand-built from slabs, combined to form a single piece. The plates were also cut from slabs, and then hand-rolled rims were added to each shape with slip. Stains and glazes are made by methodically measuring out each ingredient on a triple-beam scale, combining all ingredients with water, and running the mixture through a strainer to …

Perinatal Inflammation And Oxidative Stress Alter Adult Rat (Rattus Norvegicus) Motor Behavior, Alexander Young

Honors College Theses

Recent evidence in comparative animal models suggests that early life exposure to elevated inflammation (via LPS exposure) and oxidative stress (via acetaminophen exposure) may synergistically interact to alter typical neurodevelopmental trajectories, resulting in lasting effects on both behavior and gut-brain neurochemistry. The current study observed emotional and motor behaviors and collected fecal-boli to measure Tyrosine (TE) levels in male and female Long-Evans (Rattus norvegicus) rats. Subjects were either treated with [1] saline [2] lipopolysaccharide (LPS) to introduce an inflammatory state, [3] acetaminophen (APAP) to introduce oxidative stress, or [4] a dual-hit of both LPS + APAP on postnatal day (PD) …

What Is The Evolving Role Of Nurses In Telehealth As Future Healthcare Professionals?, Emma G. Lowry

Honors College Theses

Telehealth has evolved into an essential component of healthcare delivery in today's world, something that occurred alongside the COVID-19 pandemic. As healthcare professionals, nurses must be adequately prepared and equipped to use the tools for telehealth. This paper examines the evolving role of nurses in telehealth by assessing undergraduate nursing students’ and practicing nurses’ knowledge, attitudes, and perceived competencies. Data will be collected through a Qualtrics survey utilizing the Awareness, Knowledge, Attitude, and Skills (AKAS) Scale for Telemedicine, supplemented by interviews with telehealth practitioners to provide qualitative context. It is expected that variations in proficiency and attitudes, from previous biased …

From The Classroom To The Workplace: The Role Of Internships In Shaping Student Values, Jasmine Williams

Honors College Theses

A significant degree of research on workplace values has been conducted to better understand how employees are motivated in the hopes of reducing turnover. There also exists a significant body of literature on how internships impact career outcome and can effectively prepare students for the workforce. However, previous studies have not explored the differences between students who have completed internships in comparison to those who have not. The goal of this research is to determine whether internships create a significant impact on students’ workplace values (e.g. intrinsic, extrinsic, altruistic, and social) when compared to students who have not completed an …

Crisis Communication In The Influencer Era: A Crisis Response Analysis Of Poppi And Alani Nu, Meredith E. Staley

Honors College Theses

As social media continues to reshape modern public relations practice, beverage brands like Alani Nu and Poppi offer relevant examples of influencer-driven communication and crisis response. This honors thesis compares and contrasts these brands following two major crises: Poppi’s influencer vending machine campaign and the health concerns and backlash surrounding Alani Nu’s energy drinks. Despite the well-known prevalence of these brands, there is little scholarly research examining their crisis communication strategies. Guided by Situational Crisis Communication Theory, this study uses a combination of social and news media content analysis to evaluate how each brand responded to its respective crisis. Each …

Validity Assessment Of Resting Heart Rate Variability From The Garmin Health Snapshot, Kayla M. Porter, Andrew Flatt

Honors College Theses

Purpose: To assess the agreement between the Garmin Forerunner 265 (a commercially available sports watch) and a single-channel electrocardiographic (ECG) chest strap for determining resting heart rate variability (HRV). Secondary aims were to assess the impact of skin tone and body position on measurement accuracy.

Methods: Young adults (n = 30, 57% women) aged 18–39 years without known cardiovascular conditions and without tattooing or scarring on the dorsal left wrist were recruited. HRV was recorded simultaneously using ECG and the Forerunner 265’s optical sensor during Garmin’s 2-minute “Health Snapshot.” Measurements were obtained in three standardized positions: supine, seated, and standing. …

Perception Of Bsn Nursing Students On Theory-Practice Gap, Emmalyn G. Siclare

Honors College Theses

Nursing students obtain valuable experience and are greatly influenced by their clinical experience in nursing school. The continuity and translation of lecture content learned in nursing school to the clinical part of nursing school is known as the theory-practice gap, and it is a vital part of nursing students’ education that is suffering. A perceivable theory-practice gap has a profound effect on students’ readiness for entering the nursing profession. This study examines how the theory-practice gap is understood by Bachelor of Science in Nursing students, and solutions for how it can be remedied. A descriptive qualitative study was conducted to …

An Analysis Of The Influence Of Project-Based Assessments In Middle School Mathematics, Andrea Fettkether

Dissertations and Theses @ UNI

In today’s diverse classrooms, teachers face the challenge of educating students with varied academic abilities, including those with disabilities, gifted learners, and students at grade level. The Individuals with Disabilities Education Act (IDEA) ensures inclusive access to core curriculum, but educators must differentiate instruction to meet all learners’ needs. Traditional assessments focus on rote memorization, often failing to reflect deeper understanding or real-world problem-solving.

In middle school math, standard curricula often lack project-based assessments, despite research supporting their effectiveness in improving academic achievement and student engagement. Students benefit from working in collaborative environments where they can discuss mathematical ideas, receive …

Exploring Governance And Government Policies Of Preparedness And Response To Flooding In Juneau, Alaska, Derreck Asiamah

Dissertations and Theses @ UNI

Flooding poses an escalating threat to human well-being, economic stability, and environmental resilience in climate-sensitive regions such as Juneau, Alaska, where the retreat of the Mendenhall Glacier has produced an actively expanding ice-dammed lake, Suicide Basin, capable of triggering an annual Glacial Lake Outburst Flood (GLOF). This thesis explores the governance and government policies shaping flood preparedness and response in Juneau, Alaska, with particular attention to GLOF risk and the August 2024 GLOF, one of the most destructive flood events in the city's history. Grounded in adaptive governance theory and political ecology, the study offers a multidimensional perspective on institutional …

Stem Identities Of Iowa State University's Biological And Biomanufacturing Systems Technology Students, Levi Nettleton

Dissertations and Theses @ UNI

STEM identity plays a crucial role in students' pursuit and persistence into the STEM field. Iowa State University's Biological and Biomanufacturing Systems Technology (BBST) undergraduate program, developed in alignment with the goals of Chemurgy 2.0, prepares students for careers in the growing STEM workforce. The purpose of this study is to examine how participation in the Biological and Biomanufacturing Systems Technology program influences undergraduate students' STEM identity and how students within the program perceive themselves within the scope of STEM. Specifically, the study investigates students' perceptions of their STEM identity across the four components of STEM identity: recognition, performance and …

Push Dose Vasopressors For The Treatment Of Hypotension, Jennifer Ann Dailey

Doctor of Nursing Practice (DNP) Scholarly Projects

Millions of Americans experience life-threatening hypotension. Prolonged hypotension results in acute kidney injury, myocardial injury, even cardiac arrest, and is associated with increased morbidity and mortality (Khanna et al., 2019; Schuurmans et al., 2024; Singer et al., 2022). Hypotension and its associated complications result in higher hospital costs (Keuffel et al., 2018). While there is a high incidence of hypotension among ICU patients, a smaller percentage of patients require vasopressor infusions regionally and nationally (Moin et al., 2025; Pollard et al., 2019). Local data from a community hospital within a North Texas suburb demonstrates a larger percentage of ICU patients …

Test-Retest Apparent Diffusion Coefficient Reproducibility In Head And Neck Cancer Using A 15-T Mr-Linac, Brigid A Mcdonald, Dina El-Habashy, Renjie He, Sam Mulder, Sarah Mirbahaeddin, Abdallah S R Mohamed, Sara Ahmed, Yao Ding, Jihong Wang, Stephen Y Lai, Alex Dresner, John Christodouleas, Clifton D Fuller

Faculty, Staff and Student Publications

Purpose

To evaluate the reproducibility of apparent diffusion coefficient (ADC) measurements in head and neck squamous cell carcinoma (HNSCC) using a 1.5-T MR-linac (MRI-guided linear accelerator) system.

Materials and Methods

In this retrospective study, conducted between February 2021 and January 2024, patients with HNSCC lesions underwent echo-planar imaging diffusion-weighted MRI on a 1.5-T MR-linac system at two time points before the start of radiation therapy. Mean and median ADC values and volumes were measured for each lesion. Absolute and percent reproducibility coefficients (RCs) were calculated. Linear regression analyses and F tests were performed to determine whether the lesion volume or …

Re-Evaluating Virtual Reality Manipulation Techniques For Precise Alignment Of Complex 3d Objects, Cherelle Connor, Alexander Giovannelli, Leonardo Pavanatto, Francielly Rodrigues, Haichao Miao, Vuthea Chheang, Brian Giera, Peer Timo Bremer, Doug A. Bowman

Faculty Research, Scholarly, and Creative Activity

Prior research has developed a number of manipulation techniques that can achieve precise object placement in virtual reality, but studies of these techniques typically use simple objects. We conducted a study comparing two existing techniques, (AMP-IT and WISDOM), during alignment of objects with complex geometry to evaluate the potential influence of geometric complexity on performance, usability, workload and preference. Our findings indicate that participants had faster completion times and higher trial completion rates with AMP-IT on high-precision alignment tasks, contrary to earlier findings that used simple objects. Yet WISDOM is still preferred and considered more usable, despite increased workload and …

Generation Of Impact Factor-Driven Security Rating Questionnaire Using Llms For Aiot Applications, Yuna Han, Simon Shim, Deva Kumar Gajulamandyam, Yeji Choi, Hyunwoo Lee, Hangbae Chang

Faculty Research, Scholarly, and Creative Activity

Industry 4.0 has transformed industries by accelerating the adoption of artificial intelligence of things (AIoT); however, it has also led to security risks, such as data leakage. Existing data protection research focuses on network layers, whereas application-layer rating systems rely on subjective evaluations, limiting consistency and applicability. This study proposes a scalable and objective AIoT security rating framework that clarifies ambiguities in the five-question rating system of the Korean Intellectual Property Office and unifies fragmented managerial and technical rating systems. By leveraging large language models (LLMs), the framework integrates a security rating model based on 14 impact factors with automated …

Cognitive Validity In Listen-To-Write Summary Tasks: A Mixed-Methods Analysis Of Notetaking Data, Rebecca Yeager, Gomee Park, Junhee Park

Bilingual and Literacy Studies Faculty Publications

This study examines the cognitive validity of a listen-to-summarize task on a university placement test. Cognitive validity is underinvestigated in listening assessment, especially for higher-order listening processes (Holzknecht et al., 2017; Rukthong, 2021). However, student notes from listening tests can record evidence of these processes (Yeager et al., 2024; Cushing, 1991). This study employed an exploratory sequential mixed-methods design to investigate the higher-order listening processes elicited by an integrated listen-to-summarize task. First, notes from two administrations of the same test form – one with notetaking scaffolding (n = 25) and one without (n = 25) – were analyzed qualitatively. Second, …

The Ideological Work Of Penal Reform: How Reformers Justify Penal-Welfare Hybridization, John Halushka, Brandon Miller

Faculty Research, Scholarly, and Creative Activity

This article uses the Santa Clara County Reentry Resource Center (RRC) as a case study to explore the cultural content of penal reform. Specifically, we explore the discourses that officials use to publicly justify projects of penal-welfare hybridization, or the linking of state systems of punishment and welfare to manage criminalized populations. Our qualitative analysis draws on a dataset consisting of county planning documents, budgets, videos, press releases, and newsletters published online between 2011 and 2023. By examining these materials over time, we are able to chart patterns of consistency and variation in how officials justify hybridization. We find that …