Date of Award:
5-2007
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Committee Chair(s)
Xioafeng Ren
Committee
Xioafeng Ren
Committee
Zhi Qiang Wang
Committee
Peg Howland
Abstract
This thesis studies the gradient system that forms spatial patterns such that the minimum distances of pairs among various points are maximized in the end. As this problem innately involves singularity issues, an extended system of the gradient system is proposed. Motivated by the spatial pattern suggested by a numerical example, this extended system is applied to a three-point problem and then to a two-point problem in a quotient space of ℝ2 modulo a lattice.
Checksum
48bec75b536a2d798c56ac16c489469a
Recommended Citation
Sasaki, Yuya, "Dynamics of Spatial Pattern Formation: Cases of Spikes and Droplets" (2007). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 7131.
https://digitalcommons.usu.edu/etd/7131
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