The Hydrodynamic Limit of The Random Waiting Time Model and The Fractional Kinetics Process

In this thesis, the hydrodynamic limit (HDL) for two trapping models is studied, the Random Waiting Time Model (RWTM) and the fractional kinetics process (FKP), on a discrete lattice Zd . The RWTM is studied for dimension d ≥ 1 and E[wi ],∞where wi denotes the waiting time at position i . On the other hand, the FKP is studied for d ≥ 3 and a...

A width-averaged hydrodynamic model of two-layer tidal circulation

Estuaries support a unique hydrodynamic system due to the fresh water flowing into a salt water sea. This leads to stratification which can significantly alter internal tidal dynamics in the estuary. A model has been developed by Winant (2010) to describe the water motions of a two-layer system in tidal basin. The aim of this thesis is provide...