Art of PDEs
Kovalevskaya on Chaos
Functions of space can allow us to change how a PDE solution varies in space and time. This page explores an example using an image of Sofya Kovalevskaya encoded as the function $I_S(x,y)$. The system uses the Complex GinzburgLandau equation.

Load one of the interactive simulations demonstrating dark soliton pinning, localised chaos, or fireflies.

You can upload your own image by clicking on
→Images and then clicking on the image of Sofya Kovalevskaya face next to $I_S(x,y)$. The image will be effectively treated as a greyscale function $I_T(x,y)$, which will be approximately 1 when the image is close to white and approximately 0 when the image is close to black. 
Change $I_T$ to $I_S$ in Alan Turing.
→Definitions to see another famous mathematical face: 
You can upload a replacement for either of these images under
→Images. They can each be used as heterogeneities in many parts of VisualPDE.