Browsing Mathematics (Faculty of) by Subject "stability"
Now showing items 1-7 of 7
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Dynamics of a Diffusive Nutrient-Phytoplankton-Zooplankton Model with Spatio-temporal Delay
(SIAM, 2021-01)We study a diffusive nutrient-phytoplankton-zooplankton (NPZ) model with spatio-temporal delay. The closed nature of the system allows the formulation of a conservation law of biomass that governs the ecosystem. We advance ... -
A Floating Ball and Two Asymptotic Problems in Capillarity
(University of Waterloo, 2021-06-02)The study of capillary phenomena can be traced back to the age of Aristotle. In this thesis, a floating ball and two asymptotic problems in capillarity are considered, all of which include surface tension and gravity. The ... -
Implicit Loss of Surjectivity and Facial Reduction: Theory and Applications
(University of Waterloo, 2023-03-09)Facial reduction, pioneered by Borwein and Wolkowicz, is a preprocessing method that is commonly used to obtain strict feasibility in the reformulated, reduced constraint system. The importance of strict feasibility is ... -
Jets, Vortices and Turbulence in Quasi-Geostrophic Magnetohydrodynamics
(University of Waterloo, 2022-07-28)In this thesis, we model the dynamics of the solar tachocline and the Earth's molten core using a shallow, rapidly rotating, and electrically conducting fluid on an f-plane. We explore the effects of a strong uniform ... -
Stability analysis by contraction principle for impulsive systems with infinite delays
(Elsevier, 2020-03)This paper studies a class of quasi-linear impulsive systems of functional differential equations with infinite time delay. By employing the contraction principle, several criteria on uniform stability and asymptotic ... -
Stability and Boundedness of Impulsive Systems with Time Delay
(University of Waterloo, 2007-04-13)The stability and boundedness theories are developed for impulsive differential equations with time delay. Definitions, notations and fundamental theory are presented for delay differential systems with both fixed and ... -
Stability of Impulsive Switched Systems in Two Measures
(University of Waterloo, 2010-09-28)This thesis introduces the notion of using stability analysis in terms of two measures for impulsive switched systems. Impulsive switched systems are defined in the context of hybrid system theory and the motivation for ...