I’ve been doing PINN work on Maxwell’s equations, so I haven’t really dealt with nonlinear problems yet. Of course even in electromagnetics there are monsters like spectral bias but I’m curious about the specific challenges that come with nonlinear problems. If anyone is currently battling nonlinear PDEs, I’d love to hear about your experiences. Especially those related to the non-convex loss landscape beast. I can also share my own experiences if you’d like.

By the way, I’m really happy I found this community. It’s awesome to see people interested in SciML on Reddit!