I never got as far as you, certainly not with equations and things. I think there’s two ways to go with it, one through engineering via texts or websites that looks like this, which are usually LINEAR equations, and the other through NON-LINEAR dynamics.
Examples of non-linear is looking at acoustics and comparing it to fluid dynamics and such. So you could research “non linear acoustics” and apply that to non-linear fluid dynamics.
But I don’t know what building blocks are needed for either side. I’m kind of a generalist.