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Yes, the quantumness of a differential equation is not a property of the differential equation, but a statement about one possible taxonomy of differential equa
by grungegun 4y ago
Yes, the quantumness of a differential equation is not a property of the differential equation, but a statement about one possible taxonomy of differential equation. Then, whether quantum-type diff eq's have unique properties pertaining to chaos conditioned on our knowledge of them being labelled 'quantum' is an interesting mathematical question.
> Note that there is no Lagrangian for the NS equations, by the way.
I don't know much about fluid dynamics, but I was under the impression that Bennett derives the Lagrangian form in the book Lagrangian Fluid Dynamics
- leephillips 4y agoThere is a clash of terminology: the Lagrangian formulation of fluid dynamics follows the path of fluid particles, in contrast to the Eulerian form, which observes the fluid passing by a fixed coordinate system. In general dissipative systems don’t have time-independent Lagrangians.
- grungegun 4y agoyep, that sounds right to me. also I see you're the author of the Noether article from Ars Technica. I enjoyed the read.
- leephillips 4y agoI’m glad, thanks!
- wrycoder 4y agoGood discussion, thanks!
- andreareina 4y agoThe article presumably being https://arstechnica.com/science/2015/05/the-female-mathematician-who-changed-the-course-of-physics-but-couldnt-get-a-job/ https://arstechnica.com/science/2015/05/the-female-mathemati...