Browsing Applied Mathematics by Title
Now showing items 382-401 of 489
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Random forcing of geostrophic motion in rotating stratified turbulence
(AIP, 2017-12-29)Random forcing of geostrophic motion is a common approach in idealized simulations of rotating stratified turbulence. Such forcing represents the injection of energy into large-scale balanced motion, and the resulting ... -
Realizing Surface Driven Flows in the Primitive Equations
(University of Waterloo, 2014-08-27)The surface quasi-geostrophic (SQG) model describes the evolution of buoyancy at vertical boundaries in the limit of infinitesimal Rossby number. In this regime, the quasi-geostrophic approximations are expected to hold. ... -
Realizing surface driven flows in the primitive equations
(American Meteorological Society, 2015-05)The surface quasigeostrophic (SQG) model describes flows with surface buoyancy perturbations with no interior quasigeostrophic potential vorticity at small Rossby number Ro and O(1) Burger number, where quasigeostrophic ... -
The Relation between Polygonal Gravity and 3D Loop Quantum Gravity
(University of Waterloo, 2017-09-13)In this thesis, we explore the relation between ’t Hooft polygonal gravity and loop quantum gravity (LQG) - two models of discrete gravity in 2+1 dimensions. While the relation between the two theories has been studied ... -
Relativistic Theory of the Interaction of Two-Dimensional Materials with Moving Charged Particles
(University of Waterloo, 2019-08-08)Prompted by the recent surge of interest in integrating atomically thin layers of conducting materials into nanophotonic and nanoplasmonic devices; we propose, in this thesis, a theoretical framework to analyze the ... -
Resolution Dependence and Subfilter-Scale Motions in Idealized Squall-Line Simulations
(AMS, 2020-07-08)In this paper, the sensitivity of idealized squall-line simulations to horizontal resolution, subgrid turbulence mixing scheme, and subfilter-scale motion is discussed. Inconsistent results from numerical simulations ... -
Resolution Enhancement in Magnetic Resonance Imaging by Frequency Extrapolation
(University of Waterloo, 2008-12-16)This thesis focuses on spatial resolution enhancement of magnetic resonance imaging (MRI). In particular, it addresses methods of performing such enhancement in the Fourier domain. After a brief review of Fourier theory, ... -
Revising Ecological Assumptions About Human Papillomavirus Interactions And Type Replacement
(Elsevier, 2014-06-07)The controversy over whether vaccine-targeted HPV types will be replaced by other oncogenic, non-vaccine-targeted types remains unresolved. This is in part because little is known about the ecology of HPV types. Patient ... -
Road Surface Estimation Using Machine Learning
(University of Waterloo, 2023-01-19)Vehicle motion control systems are present on commercial vehicles to improve safety and driving comfort. Many of these control systems could be further improved given accurate online information about the road condition ... -
Robustly Complete Temporal Logic Control Synthesis for Nonlinear Systems
(University of Waterloo, 2019-12-18)Modern systems such as spacecrafts and autonomous vehicles are complex yet safety-critical, and therefore the control methods that can deal with different dynamics and constraints while being provably correct are sought ... -
Role Of Word-Of-Mouth For Programs Of Voluntary Vaccination: A Game-Theoretic Approach
(Elsevier, 2015-11-01)We propose a model describing the synergetic feedback between word-of-mouth (WoM) and epidemic dynamics controlled by voluntary vaccination. The key feature consists in combining a game-theoretic model for the spread of ... -
Root-Locus Theory for Infinite-Dimensional Systems
(University of Waterloo, 2007-09-27)In this thesis, the root-locus theory for a class of diffusion systems is studied. The input and output boundary operators are co-located in the sense that their highest order derivatives occur at the same endpoint. It is ... -
Safety-Critical Control for Dynamical Systems under Uncertainties
(University of Waterloo, 2024-02-15)Control barrier functions (CBFs) and higher-order control barrier functions (HOCBFs) have shown great success in addressing control problems with safety guarantees. These methods usually find the next safe control input ... -
Scale-dependent anisotropy in forced stratified turbulence
(American Physical Society, 2019-04)In stratified turbulence, buoyancy forces inhibit vertical motion and lead to anisotropy over a wide range of length scales, which is characterized by layerwise pancake vortices, thin regions of strong shear, and patches ... -
Self-Similarity of Images and Non-local Image Processing
(University of Waterloo, 2011-06-28)This thesis has two related goals: the first involves the concept of self-similarity of images. Image self-similarity is important because it forms the basis for many imaging techniques such as non-local means denoising ... -
Sensitivity of Idealized Squall Line Simulation to Resolution and Subgrid Turbulence Mixing
(University of Waterloo, 2019-01-23)In this project, the sensitivity of idealized squall line simulations to horizontal grid spacing and turbulent mixing parameterization will be discussed. Inconsistent results from numerical simulations of convective ... -
Sensitivity of the Thermal Structure and Circulation Patterns of a Simple Idealized Lake and Lake Erie to External Driving Forces
(University of Waterloo, 2022-12-22)Lake Erie has been a great source of economic growth and drinking water for both Canada and the United States. All lakes in temperate regions that stratify during summer are prone to hypoxia as they will experience some ... -
Sensor Choice for Minimum Error Variance Estimation
(Institute of Electrical and Electronics Engineers, 2017-06-12)A Kalman filter is optimal in that the variance of the error is minimized by the estimator. It is shown here, in an infinite-dimensional context, that the solution to an operator Riccati equation minimizes the steady-state ... -
Sex differences in solute and water handling in the human kidney: Modeling and functional implications
(Elsevier, 2021-06)The kidneys maintain homeostasis by controlling the amount of water and electrolytes in the blood. That function is accomplished by the nephrons, which transform glomerular filtrate into urine by a transport process mediated ... -
Sexual Behavior, Risk Perception, And Hiv Transmission Can Respond To Hiv Antiviral Drugs And Vaccines Through Multiple Pathways
(Nature Publishing Group, 2015-10-28)There has been growing use of highly active antiretroviral treatment (HAART) for HIV and significant progress in developing prophylactic HIV vaccines. The simplest theories of counterproductive behavioral responses to such ...