Date of Award
Master of Science
A mathematical model, motivated by the adhesion mechanism found in Hemisphaerota Cyanea, is constructed and studied. This model consists of N first order ordinary differential equations constructed to model fluid flow in a series of connected tubes. The equilibrium points of the system are established, and Lyapunov and Chetaev functions are constructed to determine stability of these equilibrium points. The eigenvalues of the linearized system are then used to further classify which equilibrium points correspond to stable final solutions. A computer model is created to run different tests, construct figures, and generate videos for the system.
dissertation or thesis originally submitted to the local University of Memphis Electronic Theses & dissertation (ETD) Repository.
Jenkins, Benjamin S., "Dynamics of Droplet Arrays" (2014). Electronic Theses and Dissertations. 940.