  This report provides an investigation into solving the Kuramoto-Sivashinsky
equation in two spatial dimensions (2DKS) using a pseudo-spectral method on
various rectangular periodic domains. The Kuramoto-Sivashinsky equation is a
fluid dynamics model that exhibits dynamical features that are highly dependent
on the length of the periodic domain. The goals of this report are to describe
the mathematical problem; explain the details of the chosen numerical method;
inspect solutions and dynamical features for varying grid sizes, step sizes,
and domains; and summarize the findings.
