Linearization in sight! Mathematicians delight! Wow, there are way to many syllables to sing that accurately.
To sum up, the acoustic approximation rocks. It makes it so that convection drops out and so that the continuity equation is decoupled from the field equation. Pretty neat. I'd like to explore, eventually, real life situations where this approximation breaks down, but I'm pretty sure that we have only seen the tip of iceberg when it comes to the plethora of real life things that do fall into this approximation.
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