I've been wondering,
Since some sound generating physical phenomena have been physically modelled as physical modelling synthesisers,
Does there exist a "physical audio theory" (or scientific subdomains fit for belonging to "physical audio theory"), which is like a subfield of applied mathematics or physics that describes the theory of sound generators, propagation and such. For example, the Karplus-Strong algorithm and its analysis would belong there and it would be presented as a derivation of string physics. Sure there's the physics of sound under physics, but I have not seen a coherent mathematical theory on "physical modelling synthesis", even if "physical modelling synthesis" could perhaps be laid out as mathematical formalisms, e.g. as an "applied linear algebra" body of theory. It seems like much of audio DSP is just scattered information.
For those interested, I also think there are at least some books concerning "physical audio theory", an example would be this book:
It does contain chapters that predominantly analyze natural phenomena or "sound generating settings" and try to translate those into expressions in mathematics, using concepts from physics. The derivations don't differ that much from e.g. typical engineering analysis. Much like the Karplus-Strong algorithm was developed by analyzing string instruments.