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Finite Volume Methods for the Multilayer Shallow Water Equations with Applications to Storm Surges
(2011-07-11)
Coastal hazards related to strong storms such as hurricanes and typhoons are one of the most frequently recurring and wide spread hazards to coastal communities. Storm surges are among the most devastating effects of these storms, and their prediction and mitigation is of great interest to coastal communities that need to ...
Mathematical Models for Facilitated Diffusion and the Brownian Ratchet
(2011-08-31)
In this dissertation, mathematical models for two biophysically related topics are investigated: facilitated diffusion and the Brownian ratchet. Both phenomena exhibit counterintuitive behavior: in the case of facilitated diffusion, transport of a fast-moving ligand (e.g. oxygen) is enhanced through reversible association ...