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Full-Text Articles in Physical Sciences and Mathematics
Mathematical Analysis Of Some Partial Differential Equations With Applications, Kewang Chen
Mathematical Analysis Of Some Partial Differential Equations With Applications, Kewang Chen
Graduate College Dissertations and Theses
In the first part of this dissertation, we produce and study a generalized mathematical model of solid combustion. Our generalized model encompasses two special cases from the literature: a case of negligible heat diffusion in the product, for example, when the burnt product is a foam-like substance; and another case in which diffusivities in the reactant and product are assumed equal. In addition to that, our model pinpoints the dynamics in a range of settings, in which the diffusivity ratio between the burned and unburned materials varies between 0 and 1. The dynamics of temperature distribution and interfacial front propagation …