Singularity formation in the incompressible Euler equation in finite and infinite time — mentioned by wwalker3

Sat, 19 Nov 2022 16:41:23 GMT

The incompressible Euler equations model a fluid as a two-valued field. This means that at every point in space, the field has two values, density and velocity (1). To me (2), a singularity in a field like this means that one or more of the field values "blows up", i.e. goes to infinity as you run the time variable forward. But how could this ever happen? The Euler equations model the "conservation" (i.e. constant-ness) of three real physical quantities: mass, momentum, and energy. If these three quantities are finite and constant when you add them up over the whole field, how can any part of…

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Singularity formation in the incompressible Euler equation in finite and infinite time · HackerPapers discussions

Singularity formation in the incompressible Euler equation in finite and infinite time — mentioned by wwalker3