Important Result:

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.

Math Thesis Link