[mannykannot]

Given that the equations involve continuous functions of some bulk properties of a fluid, while the fluid itself is made up of discrete particles, is there anything fundamentally or metaphysically problematical if these blow-ups are unavoidable? Or is it about finding practical ways to avoid them when modeling real-world scenarios?

[lgeorget]

I guess that it's just that it would be super convenient if the equation that work for a fluid would work for any part of the fluid, however small it is.

[treeman79]

Sounds sort of like how they found the plank constant