Deriving a theorem in Fluid Dynamics which explains how boundary conditions would affect behavior of Newtonian fluids and obtaining numerical results using accurate numerical schemes.
Numerical Schemes Used in Thesis:
Spectral Methods, Compact finite differences (The most accurate scheme applicable to the problem)
Advanced Mathematical Techniques Used for Modeling the Problem:
Dynamical Systems, Linear Algebra, Complex and Real Analysis, Inversion Theory and Conformal Mapping, Topology.