Hybrid asymptotic-numerical analysis of pattern formation problems

In this thesis we present an analysis of the Gierer-Meinhardt model with saturation (GMS) on various curve geometries in ℝ². We derive a boundary fitted coordinate framework which translates an asymptotic two-component differential equation into a single component reaction diffusion equation with si...

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Bibliographic Details
Main Author: Moyles, Iain
Language:English
Published: University of British Columbia 2015
Online Access:http://hdl.handle.net/2429/53715