Timeline for How are the two definitions of hyperbolic PDEs related
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| Sep 19, 2016 at 15:31 | comment | added | Willie Wong | See my answer here, or this EoM entry. For your final question about fluids: yes, it is well-known in the irrotational case with no vacuum Euler equation reduces to a quasilinear wave equation; one modern reference is Christodoulou-Miao, Chapter 1. In the case with vorticity the vorticity is transported by the fluid velocity and so hyperbolicity is more delicate, and certainly cannot be treated by your "first definition". | |
| Sep 19, 2016 at 14:47 | review | First posts | |||
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| Sep 19, 2016 at 14:43 | history | asked | user98674 | CC BY-SA 3.0 |