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Mathematical Modeling, Analysis And Numerical Simulation Of Air Quality Using The Advection-Diffusion-Reaction Equation, Md Timorul Islam Apr 2026

Mathematical Modeling, Analysis And Numerical Simulation Of Air Quality Using The Advection-Diffusion-Reaction Equation, Md Timorul Islam

Math Theses

In this thesis, we study an air quality model by using a nonlinear one-dimensional advection-diffusion-reaction system of partial differential equations for NO-NO2-O3 chemical cycle. The model incorporates advection, diffusion, chemical reactions, and source terms, and is formulated based on standard atmospheric chemistry.

We first develop numerical methods to approximate the solutions of the governing equations. Both explicit and implicit finite difference schemes are considered, and the implicit scheme provides approximations without any restrictions on the stability.

The model is then nondimensionalized to identify key parameter combinations governing the system. This leads us to a regime in which the transport and …


Mgrre_Thinsections_Mgrre-141_25, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-141_25, Mgrre

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Mgrre_Thinsections_Mgrre-141_26, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-141_26, Mgrre

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Mgrre_Thinsections_Mgrre-141_93, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-141_93, Mgrre

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Mgrre_Thinsections_Mgrre-142_26, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-142_26, Mgrre

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Mgrre_Thinsections_Mgrre-142_50, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-142_50, Mgrre

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Mgrre_Thinsections_Mgrre-142_62, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-142_62, Mgrre

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Mgrre_Thinsections_Mgrre-144_14, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-144_14, Mgrre

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Mgrre_Thinsections_Mgrre-145_21, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-145_21, Mgrre

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Mgrre_Thinsections_Mgrre-145_22, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-145_22, Mgrre

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Mgrre_Thinsections_Mgrre-146_12, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-146_12, Mgrre

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Mgrre_Thinsections_Mgrre-146_17, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-146_17, Mgrre

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Mgrre_Thinsections_Mgrre-146_19, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-146_19, Mgrre

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Mgrre_Thinsections_Mgrre-146_23, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-146_23, Mgrre

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Mgrre_Thinsections_Mgrre-142_93, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-142_93, Mgrre

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Mgrre_Thinsections_Mgrre-143_3, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-143_3, Mgrre

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Mgrre_Thinsections_Mgrre-143_13, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-143_13, Mgrre

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Negotiating Digital Identities With Ai Companions: Motivations, Strategies, And Emotional Outcomes, Renkai Ma, Shuo Niu, Lingyao Li, Alexander Hirth, Ava Brehm, Rowajana Behterin Barbie Apr 2026

Negotiating Digital Identities With Ai Companions: Motivations, Strategies, And Emotional Outcomes, Renkai Ma, Shuo Niu, Lingyao Li, Alexander Hirth, Ava Brehm, Rowajana Behterin Barbie

Computer Science

AI companions enable deep emotional relationships by engaging a user's sense of identity, but they also pose risks like unhealthy emotional dependence. Mitigating these risks requires first understanding the underlying process of identity construction and negotiation with AI companions. Focusing on Character.AI (C.AI), a popular AI companion, we conducted an LLM-assisted thematic analysis of 22,374 online discussions on its subreddit. Using Identity Negotiation Theory as an analytical lens, we identified a three-stage process: 1) five user motivations; 2) an identity negotiation process involving three communication expectations and four identity co-construction strategies; and 3) three emotional outcomes. Our findings surface the …


Creating Disability Story Videos With Generative Ai: Motivation, Expression, And Sharing, Shuo Niu, Dylan Clements, Hyungsin Kim Apr 2026

Creating Disability Story Videos With Generative Ai: Motivation, Expression, And Sharing, Shuo Niu, Dylan Clements, Hyungsin Kim

Computer Science

Generative AI (GenAI) is both promising and challenging in supporting people with disabilities (PwDs) in creating stories about disability. GenAI can reduce barriers to media production and inspire the creativity of PwDs, but it may also introduce biases and imperfections that hinder its adoption for personal expression. In this research, we examine how nine PwD from a disability advocacy group used GenAI to create videos sharing their disability experiences. Grounded in digital storytelling theory, we explore the motivations, expression, and sharing of PwD-created GenAI story videos. We conclude with a framework of momentous depiction, which highlights four core affordances of …


When Generative Ai Is Intimate, Sexy, And Violent: Examining Not-Safe-For-Work (Nsfw) Chatbots On Flowgpt, Xian Li, Yuanning Han, Di Liu, Pengcheng An, Shuo Niu Apr 2026

When Generative Ai Is Intimate, Sexy, And Violent: Examining Not-Safe-For-Work (Nsfw) Chatbots On Flowgpt, Xian Li, Yuanning Han, Di Liu, Pengcheng An, Shuo Niu

Computer Science

Content Warning: This paper contains sexually explicit and violent images and text. User-created chatbots powered by generative AI offer new ways to share and interact with Not-Safe-For-Work (NSFW) content. However, little is known about the characteristics of these GenAI-based chatbots and their user interactions. Drawing on the functional theory of NSFW on social media, this study analyzes 376 NSFW chatbots and 307 public conversation sessions on FlowGPT. Findings identify four chatbot types: roleplay characters, story generators, image generators, and do-anything-now bots. AI Characters portraying fantasy personas and enabling hangout-style interactions are most common, often using explicit avatar images to invite …


Characterizing User-Reported Risks Across Llm Chatbots, Lingyao Li, Renkai Ma, Zhaoqian Xue, Junjie Xiong Apr 2026

Characterizing User-Reported Risks Across Llm Chatbots, Lingyao Li, Renkai Ma, Zhaoqian Xue, Junjie Xiong

Computer Science Faculty Research & Creative Works

As Large Language Models (LLMs) become increasingly integral to daily life, users are engaging with multiple LLM chatbots for various needs; however, prior research on LLM risks often remains lab-based or focuses on single LLMs like ChatGPT or singular risks like privacy. To gain a multi-risk, cross-chatbot understanding of user experiences, we analyze Reddit discussions around seven major LLM chatbots using the NIST AI Risk Management Framework. We find that user-reported risks are unevenly distributed and chatbot-specific: ChatGPT is associated with safety and fairness concerns, Gemini with privacy, and Claude with security and resilience. Less frequent risks, such as explainability …


Mgrre_Thinsections_Mgrre-146_9, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-146_9, Mgrre

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Mgrre_Thinsections_Mgrre-145_12, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-145_12, Mgrre

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Mgrre_Thinsections_Mgrre-142_76, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-142_76, Mgrre

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Mgrre_Thinsections_Mgrre-142_85, Mgrre Apr 2026

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Mgrre_Thinsections_Mgrre-143_2, Mgrre Apr 2026

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Mgrre_Thinsections_Mgrre-145_1, Mgrre Apr 2026

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Mgrre_Thinsections_Mgrre-146_3, Mgrre Apr 2026

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Mgrre_Thinsections_Mgrre-141_23, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-141_23, Mgrre

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Mgrre_Thinsections_Mgrre-141_78, Mgrre Apr 2026

Mgrre_Thinsections_Mgrre-141_78, Mgrre

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