Doctor of Philosophy
Department of Mathematics
Liyanage, Liwan H., Random walk models arising in double diffusion and related applications, Doctor of Philosophy thesis, Department of Mathematics, University of Wollongong, 1983. https://ro.uow.edu.au/theses/1560
This thesis is concerned with probabilistic models of double diffusion and related applications, which include a generalization of the gambler's ruin and a problem in queuing theory. Double diffusion theory is applicable to diffusion of ions in metals in the presence of high diffusivity paths. Previous authors have proposed a continuum model, a discrete random walk model and a Master equation model, modelling diffusion in an ideal media but with two families of diffusion paths. For the continuum model a number of mathematical results have been obtained, including solutions of the coupled system of linear parabolic partial differential equations.