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Showing 1 to 4 of 4 for “"Matched Asymptotics"”.
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Hydrodynamic behaviour of active and multi-species exclusion processes
… effects of volume exclusion using the method of matched asymptotics on a multi-species exclusion process. This results in a cross-diffusion system of partial differential equations (PDEs) that captures non-trivial interaction terms, including a non-diagonal mobility matrix with explicit density …
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Linear and weakly nonlinear boundary layer acoustics in a lined duct
… acoustic lining. This is done using a two layer matched asymptotics model that is solved numerically. It is known that certain linear acoustic components are amplified within the boundary layer and I show that this causes the weakly nonlinear acoustics to be amplified outside of the boundary …
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Complex Fluid Dynamics: From Laminar to Geophysical Flows
… both reproduces and surpasses the results of matched asymptotics. We next present investigations into the biocomplex system at Yellowstone National Park. This research, which includes field work, experimental measurements, and numerical modelling, has shown that microbes do not play an …
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A new theory of premixed flames in near-stoichiometric mixtures
… in a formal asymptotic way. Using the method of matched asymptotics we are able to simplify the complicated governing equations of combustion and effectively decouple the hydrodynamic equations from those of heat and mass transport. Our model considers a two reactant mixture in which one reactant …